pith. sign in

arxiv: 2605.17241 · v1 · pith:SUNCYXXNnew · submitted 2026-05-17 · ❄️ cond-mat.mtrl-sci

Frequency renormalization and its effects in nonlinear phononics with Q_RQ_(IR)²-type coupling

Yijie Zeng This is my paper

Pith reviewed 2026-05-19 23:22 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords nonlinear phononicsfrequency renormalizationRaman rectificationIR mode splittingphonon couplingmid-IR pumpingdynamical multiferroicity
0
0 comments X

The pith

Frequency renormalization of the IR mode causes Raman rectification to saturate at high pump fields in nonlinear phononics.

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

The paper studies a two-phonon system coupled by the lowest-order term Q_R times Q_IR squared using perturbation theory to obtain analytic results for displacements and frequencies. The renormalization shifts the IR frequency in a way that limits how much the Raman mode can be rectified once the pump becomes strong. In the degenerate IR case with coupling Q_R times the difference of squared components, resonant pumping with elliptically or linearly polarized mid-IR pulses splits the IR frequencies and produces both rectification and magnetization at once. These dynamical effects are not captured by static first-principles calculations and point toward similar behavior in higher-order couplings.

Core claim

In a two-phonon system with lowest-order coupling of form Q_R Q_IR squared, perturbation theory yields analytic expressions showing that frequency renormalization of the infrared active mode causes rectification of the Raman mode to saturate at high pump field. For the degenerate variant Q_R (Q_IR,x squared minus Q_IR,y squared), resonant pumping by elliptically or linearly polarized ultrashort mid-IR pulses splits the IR mode frequency, realizing Raman rectification and magnetization simultaneously.

What carries the argument

The Q_R Q_IR squared coupling term, whose perturbation-induced renormalization of the IR frequency limits rectification and enables splitting in the degenerate case.

If this is right

  • Rectification of the Raman mode saturates once the IR frequency shift becomes significant.
  • Degenerate IR modes split under polarized pumping, allowing simultaneous rectification and magnetization.
  • The analytic perturbation method extends directly to higher-order coupling terms.
  • Amplitude saturation under strong pumping requires new experimental approaches to overcome the nonlinear limit.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Experiments on nonlinear phononics should measure IR frequency shifts in real time rather than relying only on static calculations.
  • Polarization control of the pump pulse offers a route to switch between rectification and magnetization in materials with this coupling form.
  • Similar saturation and splitting may appear in other phonon systems once the pump strength pushes beyond the linear regime.

Load-bearing premise

The coupling is dominated by the lowest-order Q_R Q_IR squared term and perturbation theory remains valid at the strong pump fields needed to see saturation and splitting.

What would settle it

A measurement showing that Raman rectification continues to grow linearly with pump amplitude without saturation at high field strengths would falsify the predicted effect of IR frequency renormalization.

Figures

Figures reproduced from arXiv: 2605.17241 by Yijie Zeng.

Figure 1
Figure 1. Figure 1: Fig.1. The amplitudes of each component are listed in Table. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The amplitudes of (a,b) eigen IR mode and (c,d) the [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: The transient amplitudes of (a) IR and (c) Raman modes [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: (a) The variation of rectified Raman mode [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: The transient amplitudes of (a) Raman mode and (b) ang [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: (a) [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
read the original abstract

A two-phonon system with lowest-order coupling of form $Q_RQ_{IR}^2$ is studied by perturbation method, and analytic results for both phonon displacements and frequencies are obtained. The frequency renormalization of infrared (IR) active mode brings the rectification of Raman mode to saturate at high pump field. For degenerate IR mode with coupling of form $Q_R(Q_{IR,x}^2-Q_{IR,y}^2)$, the frequency of IR mode will split when resonantly pumped by elliptically or linearly polarized ultrashort mid-IR pulse, realizing Raman rectification and magnetization simultaneously. Our results reveal a dynamical effect of nonlinear phononics not captured by first-principles calculation, extend the dynamical multiferroicity to systems with coupling $Q_R(Q_{IR,x}^2-Q_{IR,y}^2)$, and the method can be readily applied to higher-order couplings. The amplitude saturation under strong pump field stimulates future researches to overcome this nonlinear effect.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript studies a two-phonon system with lowest-order coupling of the form Q_R Q_IR² (and its degenerate variant Q_R (Q_IR,x² - Q_IR,y²)) using perturbation theory. Analytic expressions are obtained for the phonon displacements and the renormalized frequencies. The central results are that frequency renormalization of the driven IR mode causes the rectified Raman-mode displacement to saturate at high pump fields, and that resonant driving of degenerate IR modes by elliptically or linearly polarized mid-IR pulses produces an IR frequency splitting that simultaneously generates Raman rectification and magnetization. The work claims these dynamical effects are not captured by first-principles calculations and that the perturbative approach can be extended to higher-order couplings.

Significance. If the perturbative treatment remains quantitatively reliable in the strong-drive regime, the analytic demonstration of saturation via frequency renormalization and the extension of dynamical multiferroicity to the Q_R (Q_IR,x² - Q_IR,y²) coupling would constitute a useful addition to the nonlinear phononics literature. The results could guide experimental design aimed at overcoming amplitude saturation and stimulate checks against time-dependent simulations.

major comments (2)
  1. [Abstract and perturbation analysis] The derivation of frequency renormalization and the resulting saturation of Q_R rectification rests on a lowest-order perturbative treatment of the driven nonlinear oscillator equations. The abstract asserts that this renormalization produces observable saturation under strong pump fields, yet supplies neither the explicit perturbative expressions, the assumed small-amplitude ordering, nor a validity range. If the resonant IR displacement reaches O(1) in normalized units, higher-order terms in the potential or in the driven response become non-negligible and the claimed saturation formula ceases to be reliable. This issue is load-bearing for the central claim.
  2. [Degenerate IR mode section] The degenerate-mode splitting result and the simultaneous realization of Raman rectification and magnetization inherit the same limitation. The manuscript does not demonstrate that the perturbative frequency-shift formula remains accurate when the pump field is strong enough to produce the claimed splitting and magnetization.
minor comments (2)
  1. [Abstract] The statement that the dynamical effects are 'not captured by first-principles calculation' should be clarified: does this refer to static DFT, frozen-phonon calculations, or time-dependent ab initio molecular dynamics?
  2. Explicit normalized units for the mode amplitudes Q_R, Q_IR and the pump field strength should be stated so that readers can judge when the IR displacement becomes non-perturbative.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and will revise the manuscript to improve the clarity of our perturbative assumptions and validity ranges.

read point-by-point responses

  1. Referee: [Abstract and perturbation analysis] The derivation of frequency renormalization and the resulting saturation of Q_R rectification rests on a lowest-order perturbative treatment of the driven nonlinear oscillator equations. The abstract asserts that this renormalization produces observable saturation under strong pump fields, yet supplies neither the explicit perturbative expressions, the assumed small-amplitude ordering, nor a validity range. If the resonant IR displacement reaches O(1) in normalized units, higher-order terms in the potential or in the driven response become non-negligible and the claimed saturation formula ceases to be reliable. This issue is load-bearing for the central claim.

    Authors: We agree that the abstract and main text would benefit from an explicit statement of the perturbative ordering and validity range to avoid overstatement in the strong-drive regime. In the revised manuscript we will add the leading-order perturbative expressions for the IR frequency shift and the resulting Q_R saturation formula, together with the assumed small-amplitude ordering (Q_IR much less than the scale set by the cubic anharmonic coefficients). We will also insert a short paragraph specifying the validity condition: the saturation prediction holds when the driven IR amplitude remains below O(1) in normalized units; beyond this point higher-order terms become important and the formula is no longer quantitatively reliable. This revision directly addresses the load-bearing nature of the claim by delineating its domain of applicability. revision: yes

  2. Referee: [Degenerate IR mode section] The degenerate-mode splitting result and the simultaneous realization of Raman rectification and magnetization inherit the same limitation. The manuscript does not demonstrate that the perturbative frequency-shift formula remains accurate when the pump field is strong enough to produce the claimed splitting and magnetization.

    Authors: We concur that an explicit check of the perturbative frequency-shift formula is needed for the degenerate case. In the revision we will add a brief derivation or inequality in the main text (or an appendix) that gives the pump-field strength relative to the coupling constants for which the splitting remains within the lowest-order perturbative regime. This will show the range of parameters where the simultaneous rectification and magnetization are reliably predicted by the analytic expressions. revision: yes

Circularity Check

0 steps flagged

No circularity: standard perturbative derivation from assumed coupling form

full rationale

The paper applies standard perturbation theory to a two-phonon system defined by the lowest-order coupling term of form Q_R Q_IR² (or its degenerate variant). Analytic expressions for displacements and frequencies, including the frequency renormalization that produces saturation of Q_R rectification, are obtained directly from the model equations under the stated assumptions. No load-bearing step reduces by construction to a fitted parameter, self-citation chain, or renamed input; the results follow from the perturbative expansion applied to the given Hamiltonian. The derivation is self-contained and independent of the target claims once the coupling ansatz and perturbative regime are accepted. This is the normal outcome for a theoretical calculation of this type.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no explicit free parameters, axioms, or invented entities; the work assumes standard phonon Hamiltonian perturbation theory and the given lowest-order coupling forms without further specification.

pith-pipeline@v0.9.0 · 5697 in / 1161 out tokens · 26981 ms · 2026-05-19T23:22:47.326393+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

73 extracted references · 73 canonical work pages

  1. [3]

    Physical Review B , volume =

    Subedi, Alaska , title =. Physical Review B , volume =. 2015 , type =

    work page 2015

  2. [4]

    Davies, C. S. and Fennema, F. G. N. and Tsukamoto, A. and Razdolski, I. and Kimel, A. V. and Kirilyuk, A. , title =. Nature , volume =. 2024 , type =

    work page 2024

  3. [5]

    and Nova, Tobia F

    Disa, Ankit S. and Nova, Tobia F. and Cavalleri, Andrea , title =. Nature Physics , volume =. 2021 , type =

    work page 2021

  4. [6]

    Sum-frequency ionic Raman scattering , author =. Phys. Rev. B , volume =. 2018 , month =

    work page 2018

  5. [7]

    Juraschek, D. M. and Fechner, M. and Spaldin, N. A. , title =. Phys Rev Lett , volume =. 2017 , type =

    work page 2017

  6. [9]

    and Bromberger, H

    Liu, B. and Bromberger, H. and Cartella, A. and Gebert, T. and Forst, M. and Cavalleri, A. , title =. Opt Lett , volume =. 2017 , type =

    work page 2017

  7. [11]

    and von Hoegen, A

    Mankowsky, R. and von Hoegen, A. and Forst, M. and Cavalleri, A. , title =. Phys Rev Lett , volume =. 2017 , type =

    work page 2017

  8. [12]

    and Paillard, C

    Chen, P. and Paillard, C. and Zhao, H. J. and Iniguez, J. and Bellaiche, L. , title =. Nat Commun , volume =. 2022 , type =

    work page 2022

  9. [16]

    Martin, T. P. and Genzel, L. , title =. physica status solidi (b) , volume =. 1974 , type =

    work page 1974

  10. [17]

    Landau, L. D. and Lifshitz, E. M. , title =. 1976 , publisher =

    work page 1976

  11. [18]

    and Forst, M

    Mankowsky, R. and Forst, M. and Cavalleri, A. , title =. Rep Prog Phys , volume =. 2016 , type =

    work page 2016

  12. [19]

    Magnetophononics: Ultrafast spin control through the lattice , author =. Phys. Rev. Mater. , volume =. 2018 , month =

    work page 2018

  13. [20]

    and Juraschek, Dominik M

    Romao, Carl P. and Juraschek, Dominik M. , title =. ACS Nano , volume =

    work page

  14. [21]

    Zeng and M

    Z. Zeng and M. Först and M. Fechner and M. Buzzi and E. B. Amuah and C. Putzke and P. J. W. Moll and D. Prabhakaran and P. G. Radaelli and A. Cavalleri , title =. Science , volume =. 2025 , abstract =

    work page 2025

  15. [22]

    Light-Induced Ideal Weyl Semimetal in HgTe via Nonlinear Phononics , author =. Phys. Rev. Lett. , volume =. 2024 , month =

    work page 2024

  16. [23]

    Dynamics of Coherent Anharmonic Phonons in Bismuth Using High Density Photoexcitation , author =. Phys. Rev. Lett. , volume =. 2002 , month =

    work page 2002

  17. [24]

    and Mankowsky, R

    von Hoegen, A. and Mankowsky, R. and Fechner, M. and Forst, M. and Cavalleri, A. , title =. Nature , volume =. 2018 , type =

    work page 2018

  18. [25]

    Nonlinear phononic control and emergent magnetism in Mott insulating titanates , author =. Phys. Rev. B , volume =. 2018 , month =

    work page 2018

  19. [26]

    Effects of intense optical phonon pumping on the structure and electronic properties of yttrium barium copper oxide , author =. Phys. Rev. B , volume =. 2016 , month =

    work page 2016

  20. [27]

    Nature , volume =

    Sokolowski-Tinten, Klaus and Blome, Christian and Blums, Juris and Cavalleri, Andrea and Dietrich, Clemens and Tarasevitch, Alexander and Uschmann, Ingo and Förster, Eckhard and Kammler, Martin and Horn-von-Hoegen, Michael and von der Linde, Dietrich , title =. Nature , volume =. 2003 , type =

    work page 2003

  21. [28]

    and Manzoni, C

    Först, M. and Manzoni, C. and Kaiser, S. and Tomioka, Y. and Tokura, Y. and Merlin, R. and Cavalleri, A. , title =. Nature Physics , volume =. 2011 , type =

    work page 2011

  22. [29]

    Dynamically Induced Multiferroic Polarization , author =. Phys. Rev. Lett. , volume =. 2025 , month =

    work page 2025

  23. [30]

    2025 , eprint=

    Tunable narrowband THz generation in the organic crystal BNA , author=. 2025 , eprint=

    work page 2025

  24. [31]

    and Forst, M

    Fechner, M. and Forst, M. and Orenstein, G. and Krapivin, V. and Disa, A. S. and Buzzi, M. and von Hoegen, A. and de la Pena, G. and Nguyen, Q. L. and Mankowsky, R. and Sander, M. and Lemke, H. and Deng, Y. and Trigo, M. and Cavalleri, A. , title =. Nat Mater , volume =. 2024 , type =

    work page 2024

  25. [32]

    2025 , eprint=

    Coherent phonon control beyond amplitude saturation in a sliding ferroelectric , author=. 2025 , eprint=

    work page 2025

  26. [33]

    2025 , eprint=

    Ultrafast cooperative electronic, structural, and magnetic switching in an altermagnet , author=. 2025 , eprint=

    work page 2025

  27. [34]

    Coherent Phonons and Quasiparticle Renormalization in Semimetals from First Principles , author =. Phys. Rev. X , volume =. 2025 , month =. doi:10.1103/PhysRevX.15.021039 , url =

    work page doi:10.1103/physrevx.15.021039 2025

  28. [35]

    and Rubio, Angel and Gedik, Nuh , title =

    Ilyas, Batyr and Luo, Tianchuang and von Hoegen, Alexander and Viñas Boström, Emil and Zhang, Zhuquan and Park, Jaena and Kim, Junghyun and Park, Je-Geun and Nelson, Keith A. and Rubio, Angel and Gedik, Nuh , title =. Nature , volume =. 2024 , type =

    work page 2024

  29. [36]

    and Johansson, A

    Libbi, F. and Johansson, A. and Monacelli, L. and Kozinsky, B. , title =. NPJ Comput Mater , volume =. 2025 , type =

    work page 2025

  30. [37]

    2025 , eprint=

    Nonlinear phononics in Bi2Te3 nanoscale thin films: A theoretical approach , author=. 2025 , eprint=

    work page 2025

  31. [38]

    2026 , eprint=

    Dissipative Nonlinear Phononics: Nonequilibrium Quasiperiodic Order in Light-Driven Spin-Phonon System , author=. 2026 , eprint=

    work page 2026

  32. [40]

    and Pancaldi, M

    Basini, M. and Pancaldi, M. and Wehinger, B. and Udina, M. and Unikandanunni, V. and Tadano, T. and Hoffmann, M. C. and Balatsky, A. V. and Bonetti, S. , title =. Nature , volume =. 2024 , type =

    work page 2024

  33. [41]

    and Geilhufe, R

    Juraschek, Dominik M. and Geilhufe, R. Matthias and Zhu, Hanyu and Basini, Martina and Baum, Peter and Baydin, Andrey and Chaudhary, Swati and Fechner, Michael and Flebus, Benedetta and Grissonnanche, Gael and Kirilyuk, Andrei I. and Lemeshko, Mikhail and Maehrlein, Sebastian F. and Mignolet, Maxime and Murakami, Shuichi and Niu, Qian and Nowak, Ulrich an...

    work page 2025

  34. [44]

    Liu , author H

    author author B. Liu , author H. Bromberger , author A. Cartella , author T. Gebert , author M. Forst , \ and\ author A. Cavalleri ,\ @noop journal journal Opt Lett \ volume 42 ,\ pages 129 ( year 2017 ) NoStop

    work page 2017

  35. [45]

    Vicario , author A

    author author C. Vicario , author A. Trisorio , author S. Allenspach , author C. Rüegg , \ and\ author F. Giorgianni ,\ 10.1063/5.0015612 journal journal Applied Physics Letters \ volume 117 ,\ pages 101101 ( year 2020 ) NoStop

    work page doi:10.1063/5.0015612 2020

  36. [46]

    Pavicevic , author M

    author author D. Pavicevic , author M. Nishida , author J. Song , author M. Buzzi , \ and\ author A. Cavalleri ,\ @noop title Tunable narrowband thz generation in the organic crystal bna , \ ( year 2025 ),\ http://arxiv.org/abs/2510.22284 arXiv:2510.22284 NoStop

    work page arXiv 2025

  37. [47]

    author author D. M. \ Juraschek , author M. Fechner , \ and\ author N. A. \ Spaldin ,\ @noop journal journal Phys Rev Lett \ volume 118 ,\ pages 054101 ( year 2017 ) NoStop

    work page 2017

  38. [48]

    Libbi , author A

    author author F. Libbi , author A. Johansson , author L. Monacelli , \ and\ author B. Kozinsky ,\ @noop journal journal NPJ Comput Mater \ volume 11 ,\ pages 102 ( year 2025 ) NoStop

    work page 2025

  39. [49]

    Levchuk , author R

    author author A. Levchuk , author R. Busselez , author G. Vaudel , author P. Ruello , author V. Juvé , \ and\ author B. Arnaud ,\ https://doi.org/10.1103/j5qv-5w9j title Nonlinear phononics in bi2te3 nanoscale thin films: A theoretical approach , \ ( year 2025 ),\ http://arxiv.org/abs/2501.04101 arXiv:2501.04101 NoStop

    work page doi:10.1103/j5qv-5w9j 2025

  40. [50]

    author author B. I. \ Eraso-Solarte \ and\ author Y. Ren ,\ https://arxiv.org/abs/2603.13513 title Dissipative nonlinear phononics: Nonequilibrium quasiperiodic order in light-driven spin-phonon system , \ ( year 2026 ),\ http://arxiv.org/abs/2603.13513 arXiv:2603.13513 NoStop

    work page arXiv 2026

  41. [51]

    Subedi ,\ 10.1103/PhysRevB.92.214303 journal journal Physical Review B \ volume 92 ,\ pages 214303 ( year 2015 ) NoStop

    author author A. Subedi ,\ 10.1103/PhysRevB.92.214303 journal journal Physical Review B \ volume 92 ,\ pages 214303 ( year 2015 ) NoStop

    work page doi:10.1103/physrevb.92.214303 2015

  42. [52]

    Subedi ,\ 10.1103/PhysRevB.95.134113 journal journal Physical Review B \ volume 95 ,\ pages 134113 ( year 2017 ) NoStop

    author author A. Subedi ,\ 10.1103/PhysRevB.95.134113 journal journal Physical Review B \ volume 95 ,\ pages 134113 ( year 2017 ) NoStop

    work page doi:10.1103/physrevb.95.134113 2017

  43. [53]

    Chen , author C

    author author P. Chen , author C. Paillard , author H. J. \ Zhao , author J. Iniguez , \ and\ author L. Bellaiche ,\ @noop journal journal Nat Commun \ volume 13 ,\ pages 2566 ( year 2022 ) NoStop

    work page 2022

  44. [54]

    author author A. S. \ Disa , author T. F. \ Nova , \ and\ author A. Cavalleri ,\ @noop journal journal Nature Physics \ volume 17 ,\ pages 1087 ( year 2021 ) NoStop

    work page 2021

  45. [55]

    Mankowsky , author A

    author author R. Mankowsky , author A. Subedi , author M. Forst , author S. O. \ Mariager , author M. Chollet , author H. T. \ Lemke , author J. S. \ Robinson , author J. M. \ Glownia , author M. P. \ Minitti , author A. Frano , author M. Fechner , author N. A. \ Spaldin , author T. Loew , author B. Keimer , author A. Georges , \ and\ author A. Cavalleri ...

    work page doi:10.1038/nature13875 2014

  46. [56]

    author author A. S. \ Disa , author M. Fechner , author T. F. \ Nova , author B. Liu , author M. Först , author D. Prabhakaran , author P. G. \ Radaelli , \ and\ author A. Cavalleri ,\ 10.1038/s41567-020-0936-3 journal journal Nature Physics \ volume 16 ,\ pages 937 ( year 2020 ) NoStop

    work page doi:10.1038/s41567-020-0936-3 2020

  47. [57]

    Mankowsky , author A

    author author R. Mankowsky , author A. von Hoegen , author M. Forst , \ and\ author A. Cavalleri ,\ @noop journal journal Phys Rev Lett \ volume 118 ,\ pages 197601 ( year 2017 ) NoStop

    work page 2017

  48. [58]

    Fechner , author M

    author author M. Fechner , author M. Forst , author G. Orenstein , author V. Krapivin , author A. S. \ Disa , author M. Buzzi , author A. von Hoegen , author G. de la Pena , author Q. L. \ Nguyen , author R. Mankowsky , author M. Sander , author H. Lemke , author Y. Deng , author M. Trigo , \ and\ author A. Cavalleri ,\ @noop journal journal Nat Mater \ v...

    work page 2024

  49. [59]

    author author C. P. \ Romao \ and\ author D. M. \ Juraschek ,\ @noop journal journal ACS Nano \ volume 18 ,\ pages 29550 ( year 2024 ) NoStop

    work page 2024

  50. [60]

    Zeng , author M

    author author Z. Zeng , author M. Först , author M. Fechner , author M. Buzzi , author E. B. \ Amuah , author C. Putzke , author P. J. W. \ Moll , author D. Prabhakaran , author P. G. \ Radaelli , \ and\ author A. Cavalleri ,\ @noop journal journal Science \ volume 387 ,\ pages 431 ( year 2025 ) NoStop

    work page 2025

  51. [61]

    Paiva , author M

    author author C. Paiva , author M. Fechner , \ and\ author D. M. \ Juraschek ,\ @noop journal journal Phys. Rev. Lett. \ volume 135 ,\ pages 066702 ( year 2025 ) NoStop

    work page 2025

  52. [62]

    Shin , author A

    author author D. Shin , author A. Rubio , \ and\ author P. Tang ,\ @noop journal journal Phys. Rev. Lett. \ volume 132 ,\ pages 016603 ( year 2024 ) NoStop

    work page 2024

  53. [63]

    author author P. G. \ Radaelli ,\ 10.1103/PhysRevB.97.085145 journal journal Physical Review B \ volume 97 ,\ pages 085145 ( year 2018 ) NoStop

    work page doi:10.1103/physrevb.97.085145 2018

  54. [64]

    Subedi , author A

    author author A. Subedi , author A. Cavalleri , \ and\ author A. Georges ,\ 10.1103/PhysRevB.89.220301 journal journal Physical Review B \ volume 89 ,\ pages 220301 ( year 2014 ) NoStop

    work page doi:10.1103/physrevb.89.220301 2014

  55. [65]

    Först , author C

    author author M. Först , author C. Manzoni , author S. Kaiser , author Y. Tomioka , author Y. Tokura , author R. Merlin , \ and\ author A. Cavalleri ,\ @noop journal journal Nature Physics \ volume 7 ,\ pages 854 ( year 2011 ) NoStop

    work page 2011

  56. [66]

    Gu \ and\ author J

    author author M. Gu \ and\ author J. M. \ Rondinelli ,\ @noop journal journal Phys. Rev. B \ volume 98 ,\ pages 024102 ( year 2018 ) NoStop

    work page 2018

  57. [67]

    Fechner \ and\ author N

    author author M. Fechner \ and\ author N. A. \ Spaldin ,\ @noop journal journal Phys. Rev. B \ volume 94 ,\ pages 134307 ( year 2016 ) NoStop

    work page 2016

  58. [68]

    Hase , author M

    author author M. Hase , author M. Kitajima , author S.-i. \ Nakashima , \ and\ author K. Mizoguchi ,\ @noop journal journal Phys. Rev. Lett. \ volume 88 ,\ pages 067401 ( year 2002 ) NoStop

    work page 2002

  59. [69]

    Sokolowski-Tinten , author C

    author author K. Sokolowski-Tinten , author C. Blome , author J. Blums , author A. Cavalleri , author C. Dietrich , author A. Tarasevitch , author I. Uschmann , author E. Förster , author M. Kammler , author M. Horn-von Hoegen , \ and\ author D. von der Linde ,\ @noop journal journal Nature \ volume 422 ,\ pages 287 ( year 2003 ) NoStop

    work page 2003

  60. [70]

    Fechner , author A

    author author M. Fechner , author A. Sukhov , author L. Chotorlishvili , author C. Kenel , author J. Berakdar , \ and\ author N. A. \ Spaldin ,\ @noop journal journal Phys. Rev. Mater. \ volume 2 ,\ pages 064401 ( year 2018 ) NoStop

    work page 2018

  61. [71]

    author author L. D. \ Landau \ and\ author E. M. \ Lifshitz ,\ @noop title Mechanics Third Edition, chapter 5 \ ( publisher Elsevier Butterworth-Heinemann ,\ year 1976 ) NoStop

    work page 1976

  62. [72]

    Henstridge , author M

    author author M. Henstridge , author M. Först , author E. Rowe , author M. Fechner , \ and\ author A. Cavalleri ,\ 10.1038/s41567-022-01512-3 journal journal Nature Physics \ volume 18 ,\ pages 457 ( year 2022 ) NoStop

    work page doi:10.1038/s41567-022-01512-3 2022

  63. [73]

    Ilyas , author T

    author author B. Ilyas , author T. Luo , author A. von Hoegen , author E. Viñas Boström , author Z. Zhang , author J. Park , author J. Kim , author J.-G. \ Park , author K. A. \ Nelson , author A. Rubio , \ and\ author N. Gedik ,\ @noop journal journal Nature \ volume 636 ,\ pages 609 ( year 2024 ) NoStop

    work page 2024

  64. [74]

    Lu , author A

    author author T. Lu , author A. Wu , author J. Li , author M. Zeng , author D. Cheng , author C. Liu , author J. Gong , \ and\ author X. Li ,\ https://arxiv.org/abs/2509.11722 title Ultrafast cooperative electronic, structural, and magnetic switching in an altermagnet , \ ( year 2025 ),\ http://arxiv.org/abs/2509.11722 arXiv:2509.11722 NoStop

    work page arXiv 2025

  65. [75]

    author author J. G. \ Horstmann , author C. Emeis , author A. Caviezel , author Q. N. \ Meier , author N. Wyler , author T. Lottermoser , author F. Caruso , \ and\ author M. Fiebig ,\ https://arxiv.org/abs/2508.16422 title Coherent phonon control beyond amplitude saturation in a sliding ferroelectric , \ ( year 2025 ),\ http://arxiv.org/abs/2508.16422 arX...

    work page arXiv 2025

  66. [76]

    Pols , author C

    author author M. Pols , author C. P. \ Romao , \ and\ author D. M. \ Juraschek ,\ 10.1103/2sj3-33ky journal journal Phys. Rev. Lett. \ volume 136 ,\ pages 166801 ( year 2026 ) NoStop

    work page doi:10.1103/2sj3-33ky 2026

  67. [77]

    author author D. M. \ Juraschek , author R. M. \ Geilhufe , author H. Zhu , author M. Basini , author P. Baum , author A. Baydin , author S. Chaudhary , author M. Fechner , author B. Flebus , author G. Grissonnanche , author A. I. \ Kirilyuk , author M. Lemeshko , author S. F. \ Maehrlein , author M. Mignolet , author S. Murakami , author Q. Niu , author ...

    work page 2025

  68. [78]

    Chaudhary , author D

    author author S. Chaudhary , author D. M. \ Juraschek , author M. Rodriguez-Vega , \ and\ author G. A. \ Fiete ,\ 10.1103/PhysRevB.110.094401 journal journal Physical Review B \ volume 110 ,\ pages 094401 ( year 2024 ) ,\ note pRB NoStop

    work page doi:10.1103/physrevb.110.094401 2024

  69. [79]

    von Hoegen , author R

    author author A. von Hoegen , author R. Mankowsky , author M. Fechner , author M. Forst , \ and\ author A. Cavalleri ,\ @noop journal journal Nature \ volume 555 ,\ pages 79 ( year 2018 ) NoStop

    work page 2018

  70. [80]

    author author C. S. \ Davies , author F. G. N. \ Fennema , author A. Tsukamoto , author I. Razdolski , author A. V. \ Kimel , \ and\ author A. Kirilyuk ,\ @noop journal journal Nature \ volume 628 ,\ pages 540 ( year 2024 ) NoStop

    work page 2024

  71. [81]

    Basini , author M

    author author M. Basini , author M. Pancaldi , author B. Wehinger , author M. Udina , author V. Unikandanunni , author T. Tadano , author M. C. \ Hoffmann , author A. V. \ Balatsky , \ and\ author S. Bonetti ,\ @noop journal journal Nature \ volume 628 ,\ pages 534 ( year 2024 ) NoStop

    work page 2024

  72. [82]

    author author T. P. \ Martin \ and\ author L. Genzel ,\ @noop journal journal physica status solidi (b) \ volume 61 ,\ pages 493 ( year 1974 ) NoStop

    work page 1974

  73. [83]

    author author D. M. \ Juraschek \ and\ author S. F. \ Maehrlein ,\ @noop journal journal Phys. Rev. B \ volume 97 ,\ pages 174302 ( year 2018 ) NoStop

    work page 2018