Polariton cascade phonon laser

A. A. Reynoso; A. E. Bruchhausen; A. Fainstein; A. S. Kuznetsov; G. Usaj; I. Papuccio-Fern\'andez; K. Biermann; P.V. Santos

REVIEW 4 major objections 5 minor 67 references

Polariton cascade phonon laser

T0 review · 4 major / 5 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read A polariton condensate cascading down a wedged semiconductor stripe drives coherent 20–100 GHz phonon lasing.

desk verdict A clever and significant experimental advance, but the multimode phonon-lasing claim is underdetermined—every reported signature is optical and no direct phonon measurement is presented. read the letter →

arxiv 2505.17336 v1 pith:VMGSWAFD submitted 2025-05-22 physics.optics cond-mat.mes-hallcond-mat.other

I. Papuccio-Fernández , A. A. Reynoso , A. E. Bruchhausen , A. S. Kuznetsov , K. Biermann , P.V. Santos , G. Usaj , A. Fainstein This is my paper · ORCID

classification physics.opticscond-mat.mes-hallcond-mat.other

keywords polaritoncondensatephononlaserquantumcascadeoptomechanicsexciton-polaritonsacousticphononssemiconductormicrocavitysaser

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper claims the first operational quantum cascade phonon laser, a phonon analogue of a quantum cascade laser that emits coherent sound instead of infrared light. In an 80-micron microcavity stripe whose width tapers from 2 to 0.5 microns, an optically pumped polariton condensate occupies a ladder of engineered levels, and as polaritons jump down the ladder they stimulate the emission of confined acoustic phonons at roughly 20, 60, and 100 GHz. Above a condensation threshold, the level separations lock to these phonon frequencies, sidebands appear, and oscillations in the time-delayed autocorrelation function reveal harmonic dynamics. The authors estimate a quantum efficiency of about one emitted phonon per absorbed pump photon, several orders of magnitude above typical fermionic cascade devices. If correct, this establishes a new class of on-chip, ultrahigh-frequency coherent sound sources for optomechanical and microwave-photonic applications.

What carries the argument

The central object is the wedged stripe, a continuous semiconductor microcavity wire whose lateral width varies linearly from 2 to 0.5 micrometers. Its parabolic-like effective potential yields roughly the first 50 polariton levels almost equally spaced, with a separation close to the fundamental confined phonon frequency ν_m^(0) ≈ 20 GHz, while the overtones satisfy ν_m^(n) = (2n+1)ν_m^(0); this near-degeneracy places the polariton ladder in resonance with the cavity's acoustic modes. The extended wavefunctions have large spatial overlap, giving strong optomechanical coupling. The theoretical backbone is a coupled-mode model, Eq. (1), with N_p polariton modes coupled to a single phonon coordinate q; its rotating-wave stationary solution shows that a self-sustained phonon amplitude A ≠ 0 requires the unpumped mode to lie below the pumped one (the blue-detuned or s = −1 case), that the pumped mode then saturates at cooperativity C = 1, and that only modes separated from the pumped mode by the phonon frequency acquire population. The locking of levels is attributed to asynchronous locking, in which the coherent mechanical oscillation harmonically modulates the inter-mode coupling, with polariton nonlinearities and dissipation stabilizing the locked state.

What would settle it

Directly detect the mechanical displacement of the stripe, for instance by time-resolved pump-probe reflectivity or by probing the confined acoustic modes with a separate optical beam, and show a self-sustained oscillation at 20, 60, and 100 GHz that turns on at the same pump powers as the spectral locking. The reverse control also settles it: a sample with the quantum wells placed at a node of the confined strain, suppressing the optomechanical coupling, should lose the locking, sidebands, and g(1)(τ) oscillations if the phonon-lasing interpretation is correct.

Watch

Extended reading notes

Core claim

The paper claims that a polariton condensate in an 80-micrometer wedged microcavity stripe cascades down a ladder of engineered levels and, in doing so, drives self-sustained multimode coherent phonon oscillations at 20, 60, and 100 GHz, realizing the first quantum cascade phonon laser. The evidence presented includes asynchronous locking of both orbital and spin-split polariton states to separations matching the cavity's confined phonon modes, mechanically induced equidistant sidebands, and a time-delayed autocorrelation function g(1)(τ) with strong Fourier components at 20 and 100 GHz plus their combinations and multiples. The authors identify two thresholds: the 60 and 100 GHz overtones ignite at polariton condensation, and the 20 GHz fundamental turns on at roughly twice the condensation power, where the intensity redistributes among all macroscopically occupied states. They also report a quantum efficiency of order one phonon per exciting photon, which they attribute to the bosonic nature of the cascade.

Load-bearing premise

The load-bearing premise is that the observed spectral locking, sidebands, and autocorrelation oscillations are caused by a self-sustained coherent mechanical phonon field; if those signatures could be reproduced by polariton-polariton nonlinearities or multimode interference without any mechanical motion, the central claim of phonon lasing would fail.

Editorial extensions

If this is right

If the claim holds, the device is the first quantum cascade phonon laser, extending the cascade concept from fermionic carriers to bosonic polariton condensates.
The observations establish two distinct phonon-lasing thresholds: the 60 and 100 GHz overtones turn on at polariton condensation, while the 20 GHz fundamental turns on at roughly twice the condensation power.
The device operates in the 10–100 GHz range with a quantum efficiency of order one emitted phonon per absorbed pump photon, orders of magnitude above typical fermionic cascade estimates.
The same wedged stripe acts as a tunable multi-wavelength phonon source: displacing the pump spot along the stripe changes which ladder states participate in the cascade, altering the emitted phonon frequencies.
The demonstrated platform provides a path to integrated high-frequency optomechanical functions, including non-reciprocal photon transport and multi-wavelength Brillouin lasers.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the coherent phonon field is real, the graded-stripe geometry is a generic template: any confining potential whose ladder spacing matches a mechanical mode could exhibit cascade-driven phonon lasing, suggesting a route to tunable sasers in other materials and resonator shapes.
The g(1)(τ) Fourier components at multiples and combinations of 20 and 100 GHz indicate nonlinear coupling among the emitted phonon modes, which could be exploited as a built-in phonon frequency comb for ultrahigh-frequency signal processing.
The claim would be strengthened by a measurement that directly distinguishes mechanical motion from purely polariton multimode dynamics, for example detecting the acoustic field radiated into the substrate or the mechanical sidebands imprinted on a non-resonant probe beam.
One testable prediction of the model is the cooperativity saturation point C = 1 at the onset of self-oscillation; scanning pump power and detuning around this condition should show the pumped mode saturating while the phonon amplitude grows linearly with pumping above threshold.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Here's my take on the cascade phonon laser paper. The hardware is genuinely clever: an 80-micron wedged stripe whose polariton ladder spacing is designed to match the ~20 GHz cavity phonon, and the power-dependent locking of the levels to 60 and 100 GHz is exactly the kind of signature you'd hope for if phonons were involved. The authors also do a good job laying out the g(1)(tau) data, with clear Fourier peaks at the phonon frequencies and their combinations, and they are upfront in Section V that a complete model is still missing.

But the central claim—firm establishment of multimode phonon lasing—is not supported by the evidence as presented. Every reported signature is optical, and none of them uniquely requires a mechanical field. The wedged stripe already has a near-20 GHz ladder, so the observed 60 and 100 GHz level spacings could simply be selection of every third or fifth mode, with the power threshold marking a change in which modes have the most gain. Sidebands can arise from polariton-polariton nonlinearities, and the g(1) oscillations only show that the optical lines are phase-locked—not that the clock is acoustic. The simplified model in Eq. (1) explicitly omits the polariton-polariton interaction, which is the obvious alternative nonlinearity, so it cannot be used to exclude the null hypothesis. There are also no error bars on the energy splittings in Figs. 1f, 3b, and 4d, which makes it hard to judge how precisely the locking is.

I want to be fair: the stress-test's concern is not a manufactured flaw. The authors themselves admit that a model for the full phenomenology is lacking, and the linking of asynchronous locking to phonons leans on their prior work (refs. 39, 40, 50), which rests on the same kind of indirect signatures. So the interpretation is plausible but not proven.

Who's this for? Anyone working on polariton optomechanics, phonon lasers, or bosonic cascade devices. It deserves a serious referee—the experiment is hard and the design is novel, and the community needs to see this. But I would recommend major revision: either add a direct phonon observable (e.g., time-resolved strain measurement) or provide a quantitative argument explaining why polariton-only dynamics cannot reproduce the observed locking and sidebands. Without that, the claim should be toned down to 'consistent with' rather than 'firmly establishing.'

Referee Report

4 major / 5 minor

Summary. The manuscript reports a polariton condensate in an 80-µm wedged GaAs microcavity whose engineered ladder of polariton levels has a nearly uniform spacing of about 20 GHz. Above condensation threshold, the authors observe (i) inter-level separations that stabilize near 60 and 100 GHz (Fig. 1f), (ii) spin-split states at 20 GHz and sidebands at half and fundamental frequencies (Figs. 3 and 4), and (iii) oscillations in the first-order correlation function g(1)(τ) with Fourier peaks at 20, 100, 120, 200, 220, and 300 GHz (Fig. 5). These signatures are interpreted as evidence of multimode phonon lasing at the fundamental confined phonon mode and its overtones. A simplified two-mode and seven-mode optomechanical model in Section V reproduces threshold-like population transfer to modes separated by the phonon frequency. The paper concludes that the observations 'firmly establish the presence of multimode phonon lasing' at 20, 60, and 100 GHz.

Significance. If the interpretation is correct, this would be the first demonstration of a quantum cascade phonon laser, extending the previously demonstrated polariton-driven phonon laser to a multi-level cascade with several simultaneous phonon frequencies in the 10-100 GHz range. The paper contains a detailed generalized Gross-Pitaevskii model of the wedged-stripe modes (Appendix A), a transparent simplified optomechanical model (Section V), and a diverse set of spectroscopic, spatial, polarization, and temporal measurements. These strengths make the work of substantial interest to the polariton and optomechanics communities. However, the central claim currently rests on indirect optical signatures that are also expected from a multimode polariton condensate without mechanical motion; the analysis does not yet rule out the dominant alternative mechanisms.

major comments (4)

[Section IV.A and Figs. 1(f), 2(c)] The inferred 'asynchronous locking' of the macro-level separations to approximately 60 and 100 GHz is not uniquely supported by the data. Because the engineered ladder already has a nearly uniform 20 GHz spacing (Fig. 2(c)), a threshold-induced re-selection of every third or fifth mode of the ladder would produce exactly these separations without any phonon emission. The jump at P_Th in Fig. 1(f) could reflect a change in which modes have the lowest effective threshold (gain competition) rather than a phonon-driven renormalization. No error bars or statistical characterization of the peak separations are given, so the reader cannot distinguish a genuine lock-in from a selection effect. To support the claim, the authors should compare the measured high-power separations with the full calculated mode spectrum, including the pump-induced potential, and show that the occupied states are not simply a harmonic subset of the bare ladder.
[Section IV.C and Fig. 5(d)] The Fourier peaks in g(1)(τ) at 20, 100, 120, 200, 220, and 300 GHz are expected from the measured optical spectrum alone. For a multimode field with lines separated by 20 and 100 GHz (Fig. 5(a)), the first-order correlation function necessarily oscillates at all pairwise difference frequencies, i.e., at exactly the listed set. The observation therefore does not provide independent evidence for phonon nonlinearities unless the authors compute the expected g(1)(τ) from the static spectrum and demonstrate an excess or a phase-coherence feature that cannot be reproduced by the optical comb. As it stands, the time-domain data are a consequence of the spectral comb, not a separate observable.
[Section V, Eq. (1)] The simplified model omits the polariton-polariton interaction term, which is known to be important in this system and is in fact invoked in Sections II and IV for the blue-shift, synchronization, and pseudospin dynamics. Since the omitted nonlinearity can generate mode locking, sidebands (through four-wave mixing), and multi-mode oscillations, Eq. (1) cannot be used to exclude the principal alternative mechanism. Moreover, the authors state in Section V that a model able to describe the overall phenomenology 'is still lacking,' so the model does not yet yield a falsifiable prediction that discriminates phonon lasing from purely polariton nonlinearities. A quantitative estimate of the relative magnitudes of the optomechanical coupling and the polariton-polariton interaction, or a numerical control calculation including interactions, is required.
[Section VI, first paragraph] The conclusion that the observations 'firmly establish the presence of multimode phonon lasing' is not supported by the current evidence. In light of major comments 1-3, all three reported signatures are also consistent with a multimode polariton condensate with strong polariton-polariton interactions and no mechanical displacement. The claim should be weakened to 'consistent with' unless a control experiment or additional analysis is added that rules out the optical nonlinearities.

minor comments (5)

[Figs. 1(f), 3(b), 4(d)] Energy separations are plotted without error bars or an estimate of the spectral fitting uncertainty; adding these would allow the reader to judge whether the locked separations are quantitatively distinct from the bare ladder harmonics.
[Section IV.A, first paragraph] The term 'asynchronous locking' is used without definition in the present paper; a brief explanation or a pointer to Eqs. (1)-(3) of Ref. [39] would improve accessibility for readers outside the authors' prior work.
[Appendix A, text above Eq. (A1)] 'Pitaesvkii' is a misspelling; it should be 'Pitaevskii'.
[Section IV.D] The quantum-efficiency estimate assumes 50% pump absorption and 100% conversion of e-h pairs to emitted polaritons; these values are not experimentally calibrated. Since the efficiency claim is not required for the central result, it should be either supported by a calibration or moved to an outlook with explicit caveats.
[Fig. 3 caption] The identifiers 'S-Split 2' and 'S-Split 3' are not fully defined; the caption should specify which pseudospin component and which parent orbital state each label refers to.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the experimental claim is underdetermined, but no result reduces to its own input by construction.

full rationale

The paper is an experimental demonstration rather than a parameter-free derivation. Its central claim—multimode phonon lasing at 20, 60, and 100 GHz—is inferred from optical signatures (level locking, sidebands, and g(1)(tau) oscillations) and interpreted using the authors' earlier work on asynchronous locking [39, 40, 50]. This is self-citation, but it is not circular in the restricted sense used here: the cited prior results are published, externally falsifiable studies, and the present paper does not fit a parameter to the target claim and then rename it a prediction. The simplified model in Section V explicitly assumes a polariton-phonon coupling (Eq. 1) and is admittedly unable to describe the full phenomenology, so it is not used to derive the experimental conclusion. The main weakness is underdetermination: the observed 20/60/100 GHz spacings are commensurate with the engineered ladder spacing (Δν ≈ 20 GHz), and phase-locked optical sidebands and g(1)(tau) oscillations could in principle arise from polariton nonlinearities without a mechanical field. That is a scientific-correctness and falsifiability concern, not a circular-reasoning defect. No equation is defined in terms of the claimed result, and no fitted input is renamed as an independent prediction.

Assumptions & free parameters 5 free parameters · 6 assumptions · 0 invented entities

No new physical entities are introduced. The free parameters are modeling constants in supporting simulations; the central experimental observation does not require fitting constants, though the interpretation leans on prior phonon-mode frequencies and the authors' own locking theory.

free parameters (5)

V0 (wedge potential depth) = 6 meV
Estimated from the planar LP mode at 1525 meV; the ~20 GHz level spacing is sensitive to V0 (Appendix A, Fig. 2c), so it is effectively tuned to match the phonon frequency.
delta (potential transition length) = 0.15 µm
Taken from prior work (ref. 34); not fitted here, but a hand-chosen modeling parameter in the confinement potential Eq. (A4).
Laser spot model parameters P0, sigma, P1, sigma1 (Appendix A) = P0 = 1-2 meV, sigma = 2 µm, P1 >> 1, sigma1 = 2 sigma
Chosen for illustrative simulations of the pump-induced barrier and mode selection; not fit to experimental spectra.
Simplified model parameters J01, gamma, Gamma, rho0 (Sec. V) = not fitted; illustrative
The coupled-mode equations (1)-(2) use polariton-phonon coupling, decay rates, and phonon damping chosen to show threshold and mode-selection behavior; no quantitative fit to the experimental cascade is attempted.
Jjk asymmetry factor (Jjk = J01(1+delta0j)/2) = J01(1+delta0j)/2
Introduced 'to avoid the suppression of the phonon stimulation due to interference between modes at +/- hbar Omega' (Sec. V), an ad hoc choice for the seven-mode simulation.

assumptions (6)

domain assumption Polariton condensates in this microcavity are described by the generalized Gross-Pitaevskii equation with a reservoir (Eqs. A1-A2).
Standard model for exciton-polariton condensates; used to compute the wedged-stripe eigenmodes in Sec. III and Appendix A.
domain assumption The confined acoustic modes of the planar DBR microcavity form a harmonic-like series nu_m^(n) = (2n+1) nu_m^(0) with nu_m^(0) approximately 20 GHz.
Taken from prior work (ref. 43); the claimed 60 and 100 GHz phonon frequencies are overtones of this series, and the entire cascade interpretation depends on these modes existing at the designed frequencies.
domain assumption Asynchronous locking of polariton levels at phonon frequencies is caused by a coherent mechanical modulation of the Josephson coupling between modes.
This mechanism was established in the authors' prior papers (refs. 39, 40); Section IV.A invokes it to interpret the observed locked splittings as phonon lasing.
ad hoc to paper The simplified model in Sec. V, with Np polariton modes coupled to one phonon mode via Eq. (1) and a rotating-wave approximation, captures the essential stimulated-phonon physics.
The model is introduced as 'simplified' and 'might serve as guidance'; it assumes a single pumped mode, ignores polariton-polariton interactions, and uses hand-chosen couplings. It is not a first-principles derivation of the experiment.
ad hoc to paper The quantum efficiency estimate assumes that roughly 50% of pump photons are absorbed and that all resulting e-h pairs become polaritons and are emitted as photons, so phonon counts can be inferred from integrated cluster intensities.
Section IV.D states this as a 'gross estimation'; it neglects non-radiative losses and non-unity conversion.
domain assumption The effective 1D reduction (hard-wall in x, first transverse mode only, Eqs. A8-A9) gives a quantitatively reliable ladder spacing.
Used to compute the ~20 GHz spacing in Fig. 2; the paper notes the spacing is sensitive to V0 and detuning, so the approximation is load-bearing for the mode-matching argument.

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Cite this review

Pith. "Pith review of Polariton cascade phonon laser." pith.science (2026). https://pith.science/paper/VMGSWAFD

@misc{pith2026250517336,
  author       = {Pith},
  title        = {Pith review of: Polariton cascade phonon laser},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/VMGSWAFD}},
  note         = {Machine review of arXiv:2505.17336}
}

abstract

Phonon lasers, as their photon counterparts, rely on the physics of stimulated emission. Arguably, because light does not require a material substrate to propagate, while sound does, the impact of the two technologies has however been highly contrasting, with "sasers" (for sound amplification by stimulated emission of radiation) mostly remaining as an academic curiosity. This might be changing due to the possibility to use coherent sound generation for on-chip processing of information at ultra-high frequencies, and in the quantum realm, in integrated photonic and optomechanical devices. Inspired by the concept of unipolar lasers based on the quantum engineering of states in semiconductor heterostructures, we propose and implement a quantum cascade phonon laser (QCPL). A condensate of exciton-photon quasiparticles (polaritons) is optically induced in a microstructured semiconductor device to jump down a ladder of engineered levels. This down-cascade is accompanied by the efficient stimulated emission of phonons of $\sim 20$, $\sim 60$, and $\sim 100$~GHz, which are designed to strongly interact with the polaritons on the same chip. The proposed concept opens the path for the design of integrated high-frequency optomechanical devices, as for example for non-reciprocal photon transport and multi-wavelength Brillouin lasers.

Figures

Figures reproduced from arXiv: 2505.17336 by the authors.

**Figure 1.** A graded quantum cascade phonon laser. (a) Scheme of a quantum cascade phonon laser (QCPL) based on discrete localized states with energy tuned by the polariton trap size. (b) Scheme of a QCPL based on a graded stripe. Note the extended nature of the polariton states, leading to much larger inter-level overlap. (c) Color map of energy and spatially resolved spectra obtained for low laser powers (below condensation t… view at source ↗

**Figure 2.** Ladder of polariton states in a wedged stripe. (a) Energy and spatial distribution of the calculated levels. (b) Spatial distribution of the polariton modes of increasing energy (from bottom to top). Left is calculated, right is experimental. For the latter the position of excitation is indicated with down red arrows. (c) Calculated energy separation between successive modes of the studied stripe, with energies give… view at source ↗

**Figure 3.** Mechanically induced ladder of states. (a) Detail of the power dependence of modes identified with a white dotted rectangle in [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗

Figures from the paper (5 more)

**Figure 4.** Figure 4: Mechanically induced sidebands. (a) Power dependence of the spatially-integrated spectra for a laser spot excitation further shifted to the narrow region of the stripe (third from the left in [PITH_FULL_IMAGE:figures/full_fig_p007_4.png]

**Figure 5.** Figure 5: Time-resolved autocorrelation function g (1) (τ ). Measurement performed for a third spot position different from that leading to the experiments in Figs. 1 and 3. The corresponding spectrum is shown in (a), with energies referred to that of the main lower energy peak.…

**Figure 6.** Figure 6: Time average population of the polariton modes, [PITH_FULL_IMAGE:figures/full_fig_p009_6.png]

**Figure 7.** Figure 7: Spatially resolved spectral density obtained by solving [PITH_FULL_IMAGE:figures/full_fig_p012_7.png]

**Figure 9.** Figure 9: Polariton states in a wedged stripe with a laser pump. (a) Detail of spectrally resolved spatial image for the region close to the laser spot localized at ∼ 8µm from the wide edge of the stripe (indicated with white lines). The calculated wedge stripe potential is indi…

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Works this paper leans on

67 extracted references · 65 canonical work pages

[1]

The solid thin (black) line in (a) shows the corre- sponding amplitudes for the case of a larger initial amplitude of the phonon

In both cases the onset of the phonon emission in signaled by the increase of population of the resonant polariton modes. The solid thin (black) line in (a) shows the corre- sponding amplitudes for the case of a larger initial amplitude of the phonon. In (c)∣ψ α(t)∣2 refers to the polariton modes not explicitly indicated by the labels. Panels (b) and (d) ...

work page 2019
[2]

(A1) ne- glecting gain, losses, and polariton-polariton interactions

2D confinement To better grasp the relevant features of the stationary solu- tions for this geometry, we initially consider only Eq. (A1) ne- glecting gain, losses, and polariton-polariton interactions. Un- der these conditions, the solutions reduce to the energy eigen- statesψ n(r, t)=ψn(r)e−iEnt/̵h of the stationary Schr¨odinger equation [− ̵h2 2m ∇2+V(...

work page
[3]

In order to do that, and since we are mainly interested on the lower energy part of the spectrum, we can safely consider a hard wall potential in thexdirection

Effective 1D problem Due to the fact that the variation of the width of the trap is smooth,dw y(x)/dx≪1, the system can be well described by an effective 1D problem. In order to do that, and since we are mainly interested on the lower energy part of the spectrum, we can safely consider a hard wall potential in thexdirection. On the contrary, in the transv...

work page
[4]

E. B. Tucker, Amplification of 9.3-kMc/sec ultrasonic pulses by maser action in Ruby, Phys. Rev. Lett.6, 547 (1961)

work page 1961
[5]

P. A. Fokker, J. I. Dijkhuis, and H. W. de Wijn, Stimulated emis- sion of phonons in an acoustical cavity, Phys. Rev. B55, 2925 (1997)

work page 1997
[6]

P. A. Fokker, R. S. Meltzer, Y . P. Wang, J. I. Dijkhuis and H. W. de Wijn, Phys. Rev. B55, 2934 (1997)

work page 1997
[7]

Faist, F

J. Faist, F. Capasso, D. L. Sivco, C. Sirtoti, A. Hutchinson, and A. Y . Cho, Quantum Cascade Laser, Science264, 553 (1994)

work page 1994
[8]

Makler, M

Sergio S. Makler, M. I. Vasilevskiy, E. V . Anda, D. E. Tuyarot, J. Weberszpil, and H. M. Pastawski, A source of terahertz co- herent phonons, J. Phys.: Condens. Matter10, 5905 (1998)

work page 1998

Show all 67 references

[9]

R. P. Beardsley, A.V . Akimov, M. Henini, and A. J. Kent, Co- herent Terahertz Sound Amplification and Spectral Line Nar- rowing in a Stark Ladder Superlattice, Phys. Rev. Lett.104, 085501 (2010)

2010
[10]

Trigo, A

M. Trigo, A. Bruchhausen, A. Fainstein, B. Jusserand, and V . Thierry-Mieg, Confinement of Acoustical Vibrations in a Semi- conductor Planar Phonon Cavity, Phys. Rev. Lett.89, 227402 (2002)

2002
[11]

R. Y . Chiao, C. H. Townes, and B. P. Stoicheff, Stimulated Brillouin Scattering and Coherent Generation of Intense Hy- personic Waves, Phys. Rev. Lett.12592 (1964)

1964
[12]

Kharel, G

P. Kharel, G. I. Harris, E. A. Kittlaus, W. H. Renninger, N. T. Otterstrom, J. G. E Harris, and P. T. Rakich, High-frequency cavity optomechanics using bulk acoustic phonons, Science Advances5, eaav0582 (2019)

2019
[13]

Enzian, M

G. Enzian, M. Szczykulska, J. Silver, L. Del Bino, S. Zhang, I. A. Walmsley, P. Del’Haye, and M. R. Vanner, Observation of Brillouin optomechanical strong coupling with an 11 GHz mechanical mode, Optica6, 7-14 (2019)

2019
[14]

Brodnik, Matthew Puckett, Taran Huffman, Debapam Bose, Ryan Behunin, Jianfeng Wu, Tiequn Qiu, C ´atia Pinho, Nitesh Chauhan, Jim Nohava, Peter T

Sarat Gundavarapu, Grant M. Brodnik, Matthew Puckett, Taran Huffman, Debapam Bose, Ryan Behunin, Jianfeng Wu, Tiequn Qiu, C ´atia Pinho, Nitesh Chauhan, Jim Nohava, Peter T. Ra- kich, Karl D. Nelson, Mary Salit, and Daniel J. Blumenthal, Sub-hertz fundamental linewidth photoni...

2019
[15]

A. S. Kuznetsov, K. Biermann, A. A. Reynoso, A. Fainstein, and P. V . Santos, Microcavity phonoritons - a coherent optical- to-microwave interface, Nature Communications14, 5470 (2023)

2023
[16]

Aspelmeyer, T

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity Op- tomechanics, Rev. Mod. Phys.86, 1391 (2014)

2014
[17]

Kippen- berg, and Kerry J

Tal Carmon, Hossein Rokhsari, Lan Yang, Tobias J. Kippen- berg, and Kerry J. Vahala, Temporal Behavior of Radiation- Pressure-Induced Vibrations of an Optical Microcavity Phonon Mode, Phys. Rev. Lett.94, 223902 (2005)

2005
[18]

Grudinin, Hansuek Lee, O

Ivan S. Grudinin, Hansuek Lee, O. Painter, and Kerry J. Vahala, Phonon Laser Action in a Tunable Two-Level System, Phys. Rev. Lett.104, 083901 (2010)

2010
[19]

A. V . Poshakinskiy, A. N. Poddubny, and A. Fainstein, Multiple Quantum Wells for PT -Symmetric Phononic Crystals, Phys. Rev. Lett.117, 224302 (2016)

2016
[20]

Krimer, Guangming Zhao, Franco Nori, Yu-xi Liu, Stefan Rotter, and Lan Yang, A phonon laser operating at an exceptional point, Nature Photonics12, 479 (2018)

Jing Zhang, Bo Peng, Sahin Kaya ¨Ozdemir, Kevin Pichler, Dmitry O. Krimer, Guangming Zhao, Franco Nori, Yu-xi Liu, Stefan Rotter, and Lan Yang, A phonon laser operating at an exceptional point, Nature Photonics12, 479 (2018)

2018
[21]

Jiang, S

Y . Jiang, S. Maayani, T. Carmon, Franco Nori, and H. Jing, Nonreciprocal Phonon Laser, Phys. Rev. Applied10, 064037 (2018)

2018
[22]

Carusotto, and C

I. Carusotto, and C. Ciuti, Quantum fluids of light, Reviews of Modern Physics85, 299 (2013)

2013
[23]

Kasprzak, M

J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeam- brun, J. M. J. Keeling, F. M. Marchetti, M. H. Szyma ´nska, R. 14 (c) Laser spot S - Like State P - Like State Calculated unperturbed potential Figure 9.Polariton states in a wedged stripe with a laser pump. (a)Detail o...

2006
[24]

A. Amo, D. B. D. Sanvitto, F. Laussy, E. del Valle, M. Mar- tin, A. Lema ˆıtre, J. Bloch, D. Krizhanovskii, M. Skolnick, C. Tejedor, and L. Vi˜na, Collective Fluid Dynamics of a Polariton Condensate in a Semiconductor Microcavity, Nature (London) 457, 291 (2009)

2009
[25]

T. C. H. Liew, M. M. Glazov, K.V . Kavokin, I. A. Shelykh, M. A. Kaliteevski, and A.V . Kavokin, Proposal for a Bosonic Cascade Laser, Phys. Rev. Lett.110, 047402 (2013)

2013
[26]

T. C. H. Liew, Y . G. Rubo, A. S. Sheremet, S De Liberato, I. A. Shelykh, F. P. Laussy, and A. V . Kavokin, Quantum statistics of bosonic cascades, New J. Phys.18, 023041 (2016)

2016
[27]

M. A. Kaliteevski, K. A. Ivanov, G. Pozina, and A. J. Gallant, Single and double bosonic stimulation of THz emission in po- laritonic systems, Scientific Reports4, 5444 (2014)

2014
[28]

G. Tosi, G. Christmann, N. G. Berloff, P. Tsotsis, T. Gao, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Sculpting os- cillators with light within a nonlinear quantum fluid, Nature Phys.8, 190 (2012)

2012
[29]

Wertz, A

E. Wertz, A. Amo, D. D. Solnyshkov, L. Ferrier, T. C. H. Liew, D. Sanvitto, P. Senellart, I. Sagnes, A. Lema ˆıtre, A.V . Kavokin, G. Malpuech, and J. Bloch, Propagation and Amplifi- cation Dynamics of 1D Polariton Condensates, Phys. rev. Lett. 109, 216404 (2012)

2012
[30]

Schneider, K

C. Schneider, K. Winkler, M. D. Fraser, M. Kamp, Y . Ya- mamoto, E. A. Ostrovskaya, and S. H ¨ofling, Exciton-polariton trapping and potential landscape engineering, Rep. Prog. Phys. 80, 016503 (2016)

2016
[31]

Bajoni, P

D. Bajoni, P. Senellart, E. Wertz, I. Sagnes, A. Miard, A. Lemaˆıtre, and J. Bloch, Polariton Laser Using Single Micropil- lar GaAs-GaAlAs, Semiconductor CavitiesPhys. Rev. Lett. 100, 047401 (2008)

2008
[32]

Galbiati, L

M. Galbiati, L. Ferrier, D. D. Solnyshkov, D. Tanese, E. Wertz, A. Amo, M. Abbarchi, P. Senellart, I. Sagnes, A. Lema ˆıtre, E. Galopin, G. Malpuech, and J. Bloch, Polariton Condensation in Photonic Molecules, Phys. Rev. Lett.108, 126403 (2012)

2012
[33]

Askitopoulos, H

A. Askitopoulos, H. Ohadi, A. V . Kavokin, Z. Hatzopoulos, P. G. Savvidis, and P. G. Lagoudakis, Polariton condensation in an optically induced two-dimensional potential, Phys. Rev. B88, 041308(R) (2013)

2013
[34]

Cristofolini, A

P. Cristofolini, A. Dreismann, G. Christmann, G. Franchetti, N. G. Berloff, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Optical Superfluid Phase Transitions and Trapping of Polariton Condensates, Phys. Rev. Lett.110, 186403 (2013)

2013
[35]

Alyatkin, H

S. Alyatkin, H. Sigurdsson, A. Askitopoulos, J. D. T ¨opfer, and P. G. Lagoudakis, Quantum fluids of light in all-optical scatterer lattices, Nature Communications12, 5571 (2021)

2021
[36]

Winkler, J

K. Winkler, J. Fischer, A. Schade, M. Amthor, Robert Dall, Jonas Gessler, M. Emmerling, E. A. Ostrovskaya, M. Kamp, C. Schneider, and S. H¨ofling, A polariton condensate in a photonic crystal potential landscape, New J. Phys.17, 023001 (2015)

2015
[37]

A. S. Kuznetsov, P. L. J. Helgers, K. Biermann, and P. V . San- tos, Quantum Confinement of Exciton-Polaritons in Structured (Al,Ga)As Microcavity, Phys. Rev. B97, 195309 (2018)

2018
[38]

A. V . Yulin, V . K. Kozin, A. V . Nalitov, and I. A. Shelykh, Res- onant excitation of acoustic waves in one-dimensional exciton- polariton systems, Phys. Rev. A100, 043610 (2019)

2019
[39]

D. L. Chafatinos, A. S. Kuznetsov, S. Anguiano, A. E. Bruch- hausen, A. A. Reynoso, K. Biermann, P. V . Santos, and A. Fainstein, Polariton-driven phonon laser, Nature Communica- tions11, 4552 (2020)

2020
[40]

Carlon Zambon, Z

N. Carlon Zambon, Z. Denis, R. De Oliveira, S. Ravets, C. Ciuti, I. Favero, and J. Bloch, Enhanced Cavity Optomechanics with Quantum-Well Exciton Polaritons, Phys. Rev. Lett.129, 093603 (2022)

2022
[41]

Sesin, A

P. Sesin, A. S. Kuznetsov, G. Rozas, S. Anguiano, A. E. Bruchhausen, A. Lemaˆıtre, K. Biermann, P. V . Santos, and A. Fainstein, Giant optomechanical coupling and dephasing pro- tection with cavity exciton-polaritons, Phys. Rev. Research5, L042035 (2023)

2023
[42]

D. L. Chafatinos, A. S. Kuznetsov, A. A. Reynoso, G. Usaj, P. Sesin, I. Papuccio, A. E. Bruchhausen, K. Biermann, P. V . San- tos, and A. Fainstein, Asynchronous locking in metamaterials of fluids of light and sound, Nature Communications14, 3485 15 (2023)

2023
[43]

I. A. Ramos-P ´erez, I. Carraro-Haddad, F. Fainstein, D. L. Chafatinos, G. Usaj, G. B. Mindlin, A. Fainstein, and A. A. Reynoso, Theory of optomechanical locking in driven- dissipative coupled polariton condensates, Phys. Rev. B109, 165305 (2024)

2024
[44]

Wertz, L

E. Wertz, L. Ferrier, D. D. Solnyshkov, R. Johne, D. Sanvitto, A. Lemaˆıtre, I. Sagnes, R. Grousson, A. V . Kavokin, P. Senel- lart, G. Malpuech, and J. Bloch, Spontaneous formation and optical manipulation of extended polariton condensates, Nature Physics6, 860 (2010)

2010
[45]

A. A. Reynoso, G. Usaj, D. L. Chafatinos, F. Mangussi, A. E. Bruchhausen, A. S. Kuznetsov, K. Biermann, P. V . Santos, and A. Fainstein, Optomechanical parametric oscillation of a quan- tum light-fluid lattice, Phys. Rev. B105, 195310 (2022)

2022
[46]

Fainstein, N

A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, B. Perrin, Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light, Physical Review Letters110, 037403 (2013)

2013
[47]

Anguiano, A

S. Anguiano, A. E. Bruchhausen, B. Jusserand, I. Favero, F. R. Lamberti, L. Lanco, I. Sagnes, A. Lema ˆıtre, N. D. Lanzillotti- Kimura, P. Senellart, and A. Fainstein, Micropillar Resonators for Optomechanics in the Extremely High 19-95-GHz Fre- quency Range, Phys. Rev. Lett.1...

2017
[48]

P. V . Santos and A. Fainstein, Polaromechanics: polariton- ics meets optomechanics, Optical Materials Express13, 1974 (2023)

2023
[49]

Wouters and I

M. Wouters and I. Carusotto, Excitations in a Nonequilibrium Bose-Einstein Condensate of Exciton Polaritons, Phys. Rev. Lett.99, 140402 (2007)

2007
[50]

I. A. Shelykh, A. V . Kavokin, and G. Malpuech, Spin dynamics of exciton polaritons in microcavities, Phys. Stat. Sol. (b)242, 2271 (2005)

2005
[51]

Ohadi, A

H. Ohadi, A. Dreismann, Y . G. Rubo, F. Pinsker, Y . del Valle- Inclan Redondo, S. I. Tsintzos, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Spontaneous Spin Bifurcations and Ferro- magnetic Phase Transitions in a Spinor Exciton-Polariton Con- densate. Phys. Rev. X5, 03...

2015
[52]

Gnusov, H

I. Gnusov, H. Sigurdsson , S. Baryshev, T. Ermatov, A. Aski- topoulos, and P. G. Lagoudakis, Optical orientation, polariza- tion pinning, and depolarization dynamics in optically confined polariton condensates, Phys. Rev. B102, 125419 (2020)

2020
[53]

Carraro-Haddad, D

I. Carraro-Haddad, D. L. Chafatinos, A. S. Kuznetsov, I. A. Papuccio-Fern´andez, A. A. Reynoso, A. Bruchhausen, K. Bier- mann, P. V . Santos, G. Usaj, and A. Fainstein, Solid-state con- tinuous time crystal in a polariton condensate with a built-in mechanical clock, Science384...

2024
[54]

Baryshev, A

S. Baryshev, A. Zasedatelev, H. Sigurdsson, I. Gnusov, J. D. T¨opfer, A. Askitopoulos, and P. G. Lagoudakis, Engineering Photon Statistics in a Spinor Polariton Condensate, Phys. Rev. Lett.128, 087402 (2022)

2022
[55]

Danworaphong, M

S. Danworaphong, M. Tomoda, Y . Matsumoto, O. Matsuda, T. Ohashi, H. Watanabe, M. Nagayama, K. Gohara, P. H. Ot- suka,2 and O. B. Wright, Three-dimensional imaging of bio- logical cells with picosecond ultrasonics, Appl. Phys. Lett.106, 163701 (2015)

2015
[56]

Dehoux, M

T. Dehoux, M. Abi Ghanem, O. F. Zouani, J.-M. Rampnoux, Y . Guillet, S. Dilhaire, M.-C. Durrieu, and B. Audoin, All-optical broadband ultrasonography of single cells, Scientific Reports5, 8650 (2015)

2015
[57]

C. K. Lai, M. Merklein, A. Casas Bedoya, and B. J. Eggleton, Heterogeneous and hybrid integration for Brillouin microwave photonics, Advances in Physics: X9(2024)

2024
[58]

Xiang, E

C. Xiang, E. R. Cardozo de Oliveira, S. Sandeep, K. Papatry- fonos, M. Morassi, L. Le Gratiet, A. Harouri, I. Sagnes, A. Lemaitre, O. Ortiz, M. Esmann, N. D. Lanzillotti-Kimura, In- terference of ultrahigh frequency acoustic phonons from distant quasi-continuous sources, arXiv...

2024 arXiv
[59]

von Hoegen, R

A. von Hoegen, R. Mankowsky, M. Fechner, M. F ¨orst, and A. Cavalleri, Probing the interatomic potential of solids with strong-field nonlinear phononics, Nature555, 79 (2018)

2018
[60]

Henstridge, M

M. Henstridge, M. F ¨orst, E. Rowe, M. Fechner, and A. Cav- alleri, Nonlocal nonlinear phononics, Nature Physics18, 457 (2022)

2022
[61]

J. S. Ginsberg, M. M. Jadidi, J. Zhang, C. Y . Chen, N. Tancogne-Dejean, S. H. Chae, G. N. Patwardhan, L. Xian, K. Watanabe, T. Taniguchi, J. Hone, A. Rubio, and A. L. Gaeta, Phonon-enhanced nonlinearities in hexagonal boron ni- tride, Nature Communications14, 7685 (2023)

2023
[62]

V . Y . Shishkov, E. S. Andrianov, S. Tretiak, K. B. Whaley, and A. V . Zasedatelev, Sympathetic Mechanism for Vibrational Condensation Enabled by Polariton Optomechanical Interac- tion, Phys. Rev. Lett.133, 186903 (2024)

2024
[63]

D. L. Sounas and A. Al `u, Non-reciprocal photonics based on time modulation, Nature Photonics11, 774 (2017)

2017
[64]

Galiffi, P

E. Galiffi, P. A. Huidobro, and J. B. Pendry, Broadband Non- reciprocal Amplification in Luminal Metamaterials, Phys. Rev. Lett.123, 206101 (2019)

2019
[65]

Ruesink, M-A

F. Ruesink, M-A. Miri, A. Al `u, and E. Verhagen, Nonreciproc- ity and magnetic-free isolation based on optomechanical inter- actions, Nature Communications7, 13662 (2016)

2016
[66]

Walter and F

S. Walter and F. Marquardt, Classical dynamical gauge fields in optomechanics, New J. Phys.18, 113029 (2016)

2016
[67]

M. A. Palomo Marcos, E. Zubizarret Casalengua, E. del Valle, and F. P. Laussy, Correlations in circular quantum cascades, Phys. Rev. A111, 023704 (2025)

2025

Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.

[1] [1]

The solid thin (black) line in (a) shows the corre- sponding amplitudes for the case of a larger initial amplitude of the phonon

In both cases the onset of the phonon emission in signaled by the increase of population of the resonant polariton modes. The solid thin (black) line in (a) shows the corre- sponding amplitudes for the case of a larger initial amplitude of the phonon. In (c)∣ψ α(t)∣2 refers to the polariton modes not explicitly indicated by the labels. Panels (b) and (d) ...

work page 2019

[2] [2]

(A1) ne- glecting gain, losses, and polariton-polariton interactions

2D confinement To better grasp the relevant features of the stationary solu- tions for this geometry, we initially consider only Eq. (A1) ne- glecting gain, losses, and polariton-polariton interactions. Un- der these conditions, the solutions reduce to the energy eigen- statesψ n(r, t)=ψn(r)e−iEnt/̵h of the stationary Schr¨odinger equation [− ̵h2 2m ∇2+V(...

work page

[3] [3]

In order to do that, and since we are mainly interested on the lower energy part of the spectrum, we can safely consider a hard wall potential in thexdirection

Effective 1D problem Due to the fact that the variation of the width of the trap is smooth,dw y(x)/dx≪1, the system can be well described by an effective 1D problem. In order to do that, and since we are mainly interested on the lower energy part of the spectrum, we can safely consider a hard wall potential in thexdirection. On the contrary, in the transv...

work page

[4] [4]

E. B. Tucker, Amplification of 9.3-kMc/sec ultrasonic pulses by maser action in Ruby, Phys. Rev. Lett.6, 547 (1961)

work page 1961

[5] [5]

P. A. Fokker, J. I. Dijkhuis, and H. W. de Wijn, Stimulated emis- sion of phonons in an acoustical cavity, Phys. Rev. B55, 2925 (1997)

work page 1997

[6] [6]

P. A. Fokker, R. S. Meltzer, Y . P. Wang, J. I. Dijkhuis and H. W. de Wijn, Phys. Rev. B55, 2934 (1997)

work page 1997

[7] [7]

Faist, F

J. Faist, F. Capasso, D. L. Sivco, C. Sirtoti, A. Hutchinson, and A. Y . Cho, Quantum Cascade Laser, Science264, 553 (1994)

work page 1994

[8] [8]

Makler, M

Sergio S. Makler, M. I. Vasilevskiy, E. V . Anda, D. E. Tuyarot, J. Weberszpil, and H. M. Pastawski, A source of terahertz co- herent phonons, J. Phys.: Condens. Matter10, 5905 (1998)

work page 1998