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Rotation Sensing via Josephson-frequency Splitting in a Toroidal Superfluid

T0 review · 2 major / 5 minor · reviewed 2026-07-10 · grok-4.5

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Pith's one-line read A multi-junction toroidal superfluid turns rotation into a Josephson-frequency split that scales with the number of barriers, enabling compact gyroscopes.

desk verdict Clean analytic Doppler-split Josephson spectrum plus GPE-backed n^{-3/2} sensing protocol; ready for experiment and for a serious referee. read the letter →

arxiv 2607.08345 v1 pith:6Z2AHT4E submitted 2026-07-09 cond-mat.quant-gas

Giulio Nesti , Luca Pezzè This is my paper · ORCID
classification cond-mat.quant-gas
keywords toroidalsuperfluidJosephsonmodesDopplersplittingrotationsensingBose-Einsteincondensateatomtronicgyroscopemulti-junctionring
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 shows that a ring-shaped superfluid cut by n equally spaced tunneling barriers acts as a compact Josephson gyroscope. Without rotation, selected population-phase modes of the weakly linked wells are degenerate; a finite angular velocity lifts that degeneracy by a Doppler shift, splitting each pair of frequencies by an amount that grows linearly with both the rotation rate and n. Full Gross-Pitaevskii simulations confirm the analytic spectrum and reveal long-lived two-frequency beatings instead of the monochromatic oscillations seen at rest. Those beatings supply a direct spectroscopic readout of rotation whose estimation uncertainty improves as n to the power -3/2, while remaining robust against damping, trap imperfections, and quench-induced excitations. The scheme therefore turns an existing multi-junction atomtronic platform into a micrometer-scale rotation sensor whose sensitivity can be scaled simply by adding more barriers.

What carries the argument

The analytic normal-mode spectrum of the linearized multi-mode Josephson equations (Eq. 8), obtained from a many-mode ansatz with time-independent localized orbitals; it encodes the Doppler shift that splits ±k modes and supplies the n-scaling used for sensing.

What would settle it

Prepare a k=π/2 population imbalance in a multi-barrier ring, rotate the trap at known Ω, and check whether the measured frequency splitting of the resulting beatings grows linearly with both Ω and n, matching the predicted coefficient α.

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Extended reading notes

Core claim

A toroidal Bose-Einstein condensate interrupted by n tunneling barriers supports Josephson modes whose degeneracy is lifted by rotation. The resulting Doppler splitting δω_k(Ω) = 2αΩ sin(k) is linear in both angular velocity Ω and barrier number n, converting monochromatic population oscillations into long-lived two-frequency beatings that serve as a direct, n-enhanced rotation signal with estimation uncertainty scaling as ΔΩ ~ n^{-3/2}.

Load-bearing premise

The localized single-site orbitals are treated as frozen in time and only nearest-neighbor couplings are kept, so the linear small-amplitude spectrum is assumed to survive the finite amplitudes, damping, and transverse widths of real traps.

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Editorial analysis

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

Referee Report

2 major / 5 minor

Summary. The paper shows that a toroidal BEC interrupted by n equally spaced tunneling barriers functions as a compact Josephson gyroscope. In the small-amplitude multi-mode ansatz the normal-mode spectrum of population-phase oscillations is derived analytically; at finite angular velocity Ω a Doppler term lifts the ±k degeneracy, producing a frequency splitting δω_k(Ω)=2αΩ sin(k) that is linear in both Ω and n. Full 2-D Gross-Pitaevskii simulations recover the predicted spectrum, convert monochromatic Josephson oscillations into long-lived two-frequency beatings, and demonstrate that multi-site fitting of the beatings yields a rotation uncertainty scaling as ΔΩ∼n^{-3/2}. A concrete estimate for n≃20 already surpasses the sensitivity of existing phonon-interferometry experiments on similar platforms.

Significance. If correct, the work supplies a spectroscopic, atomtronic route to rotation sensing that is complementary to both large-area Sagnac interferometers and phonon-pattern precession. The n^{3/2} enhancement, the resilience of Josephson modes to damping and quench excitations, and the micrometer-scale footprint make the scheme attractive for portable or networked sensors. Strengths that raise confidence include a fully explicit linearization (Appendix) that yields a closed-form spectrum (Eq. 8), independent confirmation by realistic GPE numerics that do not impose the analytic approximations, and a falsifiable experimental protocol already compatible with existing multi-barrier rings (n≃20). The concrete sensitivity estimate further anchors the proposal in present-day capabilities.

major comments (2)
  1. [Sensitivity to rotations] Sensitivity to rotations, Eqs. (1) and (11) and Fig. 4(d): the claimed n^{3/2} scaling of ΔΩ rests on the assumption that detection noise is uncorrelated across the n sites of a single continuous density image. Common-mode imaging noise or exact atom-number conservation can introduce correlations that would degrade the multi-site statistical gain toward 1/n or worse. A short numerical test with realistic correlated noise (or an explicit statement of the imaging model) is needed to confirm that the n^{3/2} scaling survives.
  2. [Analytical model / Numerical simulations] Analytical model and Fig. 2(c,d): for low barriers (V_0/μ=0.3) the measured δω_k(Ω) is nearly linear in k rather than sinusoidal, indicating that longer-range couplings omitted from the nearest-neighbor matrices L and D become appreciable. While the tight-binding regime recovers Eq. (8), the paper should state the range of V_0/μ over which the analytic extraction of α (and therefore the simple linear-in-n scaling) remains accurate to a few percent; otherwise the absolute prefactor β used in the sensitivity estimate is regime-dependent in a way that is not quantified.
minor comments (5)
  1. [Title page] Author names appear with encoding artifacts (Pezz `e). Clean for production.
  2. [Fig. 2] Figure 2 caption and panels use residual Unicode escapes (/uni03B4 etc.) in the source text; ensure the published figures render cleanly.
  3. [Sensitivity to rotations] The definition of the effective observation time T_eff in Eq. (11) is clear, but a one-sentence reminder that T is limited by the damping rate Γ (and that Γ itself grows with n) would help the reader connect panels (a)–(c) of Fig. 4.
  4. [Analytical model] The scaling argument for J∼n^{2}, U∼n, α∼n is relegated to the Appendix; a brief pointer in the main text after Eq. (8) would make the n-enhancement of the splitting more transparent.
  5. [References] Reference list contains a few incomplete or duplicated entries (e.g., arXiv numbers mixed with journal citations); a quick consistency pass is warranted.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: analytic Doppler splitting and n^{-3/2} scaling are derived from linearized Josephson equations and independently recovered in full GPE numerics.

full rationale

The central results (Eq. 8 for ω_k(Ω), the splitting δω_k = 2αΩ sin(k), the two-frequency beating of Eq. 10, and the estimation uncertainty ΔΩ ∝ n^{-3/2} of Eq. 1) follow from a standard many-mode ansatz projected onto the GPE, nearest-neighbor linearization around the uniform equilibrium, and plane-wave diagonalization; the coefficients J, U, α are defined by explicit overlap integrals and their n-scaling is obtained from a transparent 1-D normalization argument in the Appendix. Full 2-D GPE simulations (finite barrier height, transverse width, quench, and phenomenological damping) recover the same linear-in-Ω, linear-in-n splitting without imposing the ansatz, so the analytic spectrum is corroborated rather than assumed. The single numerical prefactor β ≈ 250 is extracted a posteriori from fits solely to quote a concrete sensitivity number and is never re-inserted into the functional form of the spectrum or the scaling law. No self-definitional loop, no fitted parameter re-labeled as prediction, and no load-bearing self-citation of an unverified uniqueness claim appear in the derivation chain.

Assumptions & free parameters 2 free parameters · 4 assumptions · 0 invented entities

The central claim rests on the validity of the zero-temperature GPE, the multi-mode ansatz with fixed localized orbitals, nearest-neighbor truncation, and small-amplitude linearization. No new particles or forces are postulated; free parameters are ordinary experimental knobs or post-hoc numerical constants used only for concrete sensitivity estimates.

free parameters (2)
  • β (geometry-dependent prefactor in ΔΩ) = ≈250
    Extracted numerically as β≈250 from GPE fits in Fig. 4; used only to quote a concrete ΔΩ value, not to derive the functional form of the spectrum.
  • phenomenological damping rate Γ
    Introduced by hand in the damped GPE (Eq. 34) to model decoherence; varied parametrically to test robustness, not fitted to external data.
assumptions (4)
  • domain assumption Zero-temperature mean-field dynamics of the condensate are accurately described by the Gross-Pitaevskii equation (2).
    Standard for dilute BECs; invoked from the first equation of the paper and throughout the numerics.
  • ad hoc to paper The multi-mode ansatz (3) with time-independent, orthonormal localized orbitals Φ_j captures the relevant population-phase dynamics; higher modes and orbital deformation can be neglected.
    Stated explicitly in the Analytical model section; underpins the entire linear spectrum derivation.
  • domain assumption Only nearest-neighbor tunneling J and rotation coupling α contribute; longer-range terms are negligible.
    Used to obtain the discrete Laplacian and derivative matrices L and D that yield Eq. (4).
  • domain assumption Small-amplitude linearization about the uniform equilibrium N_0=N/n, ϕ_0 is sufficient for the observed beatings.
    Explicitly adopted after Eq. (3); validated a posteriori by GPE simulations at the chosen contrasts.

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Pith. "Pith review of Rotation Sensing via Josephson-frequency Splitting in a Toroidal Superfluid." pith.science (2026). https://pith.science/paper/6Z2AHT4E

@misc{pith2026260708345,
  author       = {Pith},
  title        = {Pith review of: Rotation Sensing via Josephson-frequency Splitting in a Toroidal Superfluid},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/6Z2AHT4E}},
  note         = {Machine review of arXiv:2607.08345}
}
abstract

We show that a toroidal superfluid interrupted by $n$ tunneling barriers realizes a compact Josephson gyroscope with an $n$-enhanced response to rotation. In the small-amplitude regime, we derive analytically the normal mode spectrum of the coupled population-phase oscillations. In the absence of rotation, pairs of modes are degenerate: a finite angular velocity $\Omega$ lifts this degeneracy through a Doppler shift, producing a frequency splitting that grows linearly with both $\Omega$ and $n$. Full numerical simulations confirm this prediction and reveal long-lived two-frequency beatings, in sharp contrast with the monochromatic Josephson oscillations of the nonrotating system. These beatings provide a direct rotation signal with estimation uncertainty scaling as $\Delta\Omega \sim n^{-3/2}$, while remaining robust against imperfections and dynamical excitations. These results identify multi-junction toroidal superfluids as scalable, micrometer-size rotation sensors compatible with current experimental platforms.

Figures

Figures reproduced from arXiv: 2607.08345 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Schematic of a toroidal superfluid interrupted by [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Josephson oscillations from GPE simulations. (a) Azimuthal density profile as a function of the angle [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a) Oscillation frequencies [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Sensitivity to rotations obtained from fits of GPE oscillations. [PITH_FULL_IMAGE:figures/full_fig_p004_4.png]

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Works this paper leans on

54 extracted references · 54 canonical work pages

  1. [1]

    L. A. J. Polo, W. J. Chetcuti, T. Haug, A. Minguzzi, and K. Wright, Persistent currents in ultracold gases,Phys. Rep.1137, 1–70 (2025)

    work page 2025

  2. [2]

    C. Ryu, M. F. Andersen, P. Clad ´e, V . Natarajan, K. Helmer- son, and W. D. Phillips, Observation of persistent flow of a Bose–Einstein condensate in a toroidal trap,Phys. Rev. Lett. 99, 260401 (2007)

    work page 2007

  3. [3]

    Kumar, N

    A. Kumar, N. Anderson, W. D. Phillips, S. Eckel, G. K. Camp- bell, and S. Stringari, Minimally destructive, Doppler measure- ment of a quantized flow in a ring-shaped Bose–Einstein con- densate,New J. Phys.18, 025001 (2016)

    work page 2016

  4. [4]

    Kumar, R

    A. Kumar, R. Dubessy, T. Badr, C. De Rossi, M. de Go ¨er de Herve, L. Longchambon, and H. Perrin, Producing super- fluid circulation states using phase imprinting,Phys. Rev. A97, 043615 (2018)

    work page 2018

  5. [5]

    Y . Cai, D. G. Allman, P. Sabharwal, and K. C. Wright, Persis- tent currents in rings of ultracold fermionic atoms,Phys. Rev. Lett.128, 150401 (2022)

    work page 2022

  6. [6]

    Del Pace, K

    G. Del Pace, K. Xhani, A. Muzi Falconi, M. Fedrizzi, N. Grani, D. Hern´andez-Rajkov, M. Inguscio, F. Scazza, W. J. Kwon, and G. Roati, Imprinting persistent currents in tunable fermionic rings,Phys. Rev. X12, 041037 (2022)

    work page 2022

  7. [7]

    K. C. Wright, R. B. Blakestad, C. J. Lobb, W. D. Phillips, and G. K. Campbell, Driving phase slips in a superfluid atom circuit with a rotating weak link,Phys. Rev. Lett.110, 025302 (2013)

    work page 2013

  8. [8]

    C. Ryu, P. W. Blackburn, A. A. Blinova, and M. G. Boshier, Experimental realization of Josephson junctions for an atom SQUID,Phys. Rev. Lett.111, 205301 (2013)

    work page 2013

Show all 54 references
  1. [9]

    C. Ryu, E. C. Samson, and M. G. Boshier, Quantum interfer- ence of currents in an atomtronic SQUID,Nat. Commun.11, 3338 (2020)

    2020

  2. [10]

    Ramanathanet al., Superflow in a toroidal Bose–Einstein condensate: An atom circuit with a tunable weak link,Phys

    A. Ramanathanet al., Superflow in a toroidal Bose–Einstein condensate: An atom circuit with a tunable weak link,Phys. Rev. Lett.106, 130401 (2011)

    2011

  3. [11]

    Jendrzejewski, S

    F. Jendrzejewski, S. Eckel, N. Murray, C. Lanier, M. Edwards, C. J. Lobb, and G. K. Campbell, Resistive flow in a weakly interacting Bose–Einstein condensate,Phys. Rev. Lett.113, 045305 (2014)

    2014

  4. [12]

    Eckel, F

    S. Eckel, F. Jendrzejewski, A. Kumar, C. J. Lobb, and G. K. Campbell, Interferometric measurement of the current-phase relationship of a superfluid weak link,Phys. Rev. X4, 031052 (2014)

    2014

  5. [13]

    Pezz `e, K

    L. Pezz `e, K. Xhani, C. Daix, N. Grani, B. Donelli, F. Scazza, D. Hern´andez-Rajkov, W. J. Kwon, G. Del Pace, and G. Roati, Sta- bilizing persistent currents in an atomtronic Josephson junction necklace,Nat. Commun.15, 4831 (2024)

    2024

  6. [14]

    Xhani, G

    K. Xhani, G. Del Pace, N. Grani, D. Hern ´andez-Rajkov, B. Donelli, G. Roati, and L. Pezz `e, Tuning the critical current in toroidal superfluids via controllable impurities,Physical Re- view A113, L051301 (2026)

    2026

  7. [15]

    K. S. Gan, V . P. Singh, L. Amico, and R. Dumke, Josephson dynamics in two-dimensional ring-shaped condensates,Phys. Rev. Research8, 023190 (2026)

    2026

  8. [16]

    T ¨uzemen, A

    B. T ¨uzemen, A. Barresi, G. Wlazłowski, P. Magierski, and K. Xhani, Impurity-controlled vortex mobility and pair breaking in fermionic superfluid rings,Phys. Rev. Research8, 023204 (2026)

    2026

  9. [17]

    Borysenko, N

    Y . Borysenko, N. Bazhan, O. Prykhodko, D. Pfeiffer, L. Lind, G. Birkl, and A. Yakimenko, Acceleration-driven dynamics of Josephson vortices in coplanar superfluid rings,Phys. Rev. A 111, 043308 (2025)

    2025

  10. [18]

    Hern ´andez-Rajkov, N

    D. Hern ´andez-Rajkov, N. Grani, F. Scazza, G. Del Pace, W. J. Kwon, M. Inguscio, K. Xhani, C. Fort, M. Modugno, F. Marino, and G. Roati, Connecting shear flow and vortex array insta- bilities in annular atomic superfluids,Nat. Phys.20, 939–944 (2024)

    2024

  11. [19]

    K.-J. Chen, W. Yi, and F. Wu, Dynamic generation of super- flow in a fermionic ring through phase imprinting,Phys. Rev. Research7, 013022 (2025)

    2025

  12. [20]

    Ciszak, N

    M. Ciszak, N. Grani, D. Hern ´andez-Rajkov, G. Del Pace, G. Roati, and F. Marino, Cooperative stabilization of persistent currents in superfluid ring networks,arXiv:2601.15121 (2026)

    2026

  13. [21]

    Nesti and L

    G. Nesti and L. Pezz `e, Increasing the stability of a superfluid in a rotating necklace potential,Phys. Rev. A113, 063326 (2026)

    2026

  14. [22]

    G. E. Marti, R. Olf, and D. M. Stamper-Kurn, Collective exci- tation interferometry with a toroidal Bose–Einstein condensate, Phys. Rev. A91, 013602 (2015)

    2015

  15. [23]

    C. W. Woffinden, A. J. Groszek, G. Gauthier, B. J. Mommers, M. W. J. Bromley, S. A. Haine, H. Rubinsztein-Dunlop, M. J. Davis, T. W. Neely, and M. Baker, Viability of rotation sens- ing using phonon interferometry in Bose–Einstein condensates, SciPost Phys.15, 128 (2023)

    2023

  16. [24]

    R. E. Packard and S. Vitale, Principles of superfluid-helium gy- roscopes,Phys. Rev. B46, 3540 (1992)

    1992

  17. [25]

    Schwab, N

    K. Schwab, N. Bruckner, and R. E. Packard, Detection of the Earth’s rotation using superfluid phase coherence,Nature386, 585 (1997)

    1997

  18. [26]

    Sato and R

    Y . Sato and R. E. Packard, Superfluid helium quantum interfer- ence devices: Physics and applications,Rep. Prog. Phys.75, 016401 (2012)

    2012

  19. [27]

    T. L. Gustavson, P. Bouyer, and M. A. Kasevich, Precision ro- tation measurements with an atom interferometer gyroscope, Phys. Rev. Lett.78, 2046 (1997)

  20. [28]

    Lenef, T

    A. Lenef, T. D. Hammond, E. T. Smith, M. S. Chapman, R. A. Rubenstein, and D. E. Pritchard, Rotation sensing with an atom interferometer,Phys. Rev. Lett.78, 760 (1997)

    1997

  21. [29]

    Barrett, R

    B. Barrett, R. Geiger, I. Dutta, M. Meunier, B. Canuel, A. Gau- guet, P. Bouyer, and A. Landragin, The Sagnac effect: 20 years of development in matter-wave interferometry,C. R. Phys.15, 875–883 (2014)

    2014

  22. [30]

    Dutta, D

    I. Dutta, D. Savoie, B. Fang, B. Venon, C. L. Garrido Alzar, R. Geiger, and A. Landragin, Continuous cold-atom inertial sensor with 1 nrad/sec rotation stability,Phys. Rev. Lett.116, 183003 (2016)

    2016

  23. [31]

    Gautier, M

    R. Gautier, M. Guessoum, L. A. Sidorenkov, Q. Bouton, A. Landragin, and R. Geiger, Accurate measurement of the Sagnac effect for matter waves,Sci. Adv.8, eabn8009 (2022)

    2022

  24. [32]

    C. L. Garrido Alzar, Compact chip-scale guided cold atom gy- rometers for inertial navigation: Enabling technologies and de- sign study,AVS Quantum Sci.1, 014702 (2019)

    2019

  25. [33]

    Fr ´ometa Fern´andez, D

    M. Fr ´ometa Fern´andez, D. Hern´andez-Rajkov, G. Del Pace, N. Grani, M. Inguscio, F. Scazza, S. Stringari, and G. Roati, An- gular momentum of rotating fermionic superfluids by Sagnac phonon interferometry,arXiv:2511.02664 (2025)

    2025 arXiv

  26. [34]

    Zhu and B

    S. Zhu and B. Wu, Interaction effects on Wannier functions for bosons in an optical lattice,Phys. Rev. A92, 063637 (2015)

    2015

  27. [35]

    Marzari and D

    N. Marzari and D. Vanderbilt, Maximally localized generalized Wannier functions for composite energy bands,Phys. Rev. B56, 12847 (1997)

    1997

  28. [36]

    In this case, Eq

    In the casen=2, the toroidal system reduces to an effec- tive double-well trap with two tunneling barriers, where the 8 only allowed oscillatory mode is thek=πmode. In this case, Eq. (8) recovers the plasma frequency of Josephson oscillations in a double-well trap [37, 38], wi...

  29. [37]

    Smerzi, S

    A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Quan- tum coherent atomic tunneling between two trapped Bose– Einstein condensates,Phys. Rev. Lett.79, 4950 (1997)

    1997

  30. [38]

    Raghavan, A

    S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Co- herent oscillations between two weakly coupled Bose–Einstein condensates: Josephson effects,πoscillations, and macroscopic quantum self-trapping,Phys. Rev. A59, 620 (1999)

    1999

  31. [39]

    F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Josephson junc- tion arrays with Bose-Einstein condensates,Science293, 843 (2001)

    2001

  32. [40]

    Albiez, R

    M. Albiez, R. Gati, J. F ¨olling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction,Phys. Rev. Lett.95, 010402 (2005)

    2005

  33. [41]

    Valtolina, A

    G. Valtolina, A. Burchianti, A. Amico, E. Neri, K. Xhani, J. A. Seman, A. Trombettoni, A. Smerzi, M. Zaccanti, M. Inguscio, and G. Roati, Josephson effect in fermionic superfluids across the BEC–BCS crossover,Science350, 1505 (2015)

    2015

  34. [42]

    Spagnolli, G

    G. Spagnolli, G. Semeghini, L. Masi, G. Ferioli, A. Trenkwalder, S. Coop, M. Landini, L. Pezz `e, G. Modugno, M. Inguscio, A. Smerzi, and M. Fattori, Crossing over from attrac- tive to repulsive interactions in a tunneling bosonic Josephson junction,Phys. Rev. Lett.118, 230403 (2017)

    2017

  35. [43]

    Del Pace, D

    G. Del Pace, D. Hern ´andez-Rajkov, V . P. Singh, N. Grani, M. Fr´ometa Fern´andez, G. Nesti, J. A. Seman, M. Inguscio, L. Am- ico, and G. Roati, Shapiro steps in strongly interacting Fermi gases,Science390, 1125 (2025)

    2025

  36. [44]

    Biagioni, N

    G. Biagioni, N. Antolini, B. Donelli, L. Pezz `e, A. Smerzi, M. Fattori, A. Fioretti, C. Gabbanini, M. Inguscio, L. Tanzi, and G. Modugno, Measurement of the superfluid fraction of a super- solid by Josephson effect,Nature629, 773 (2024)

    2024

  37. [45]

    Donelli, N

    B. Donelli, N. Antolini, G. Biagioni, M. Fattori, A. Fioretti, C. Gabbanini, M. Inguscio, L. Tanzi, G. Modugno, A. Smerzi, and L. Pezz`e, Self-induced Josephson oscillations and self-trapping in a supersolid dipolar quantum gas,Phys. Rev. A112, L051302 (2025)

    2025

  38. [46]

    M. N. Tengstrand, D. Boholm, R. Sachdeva, J. Bengtsson, and S. M. Reimann, Persistent currents in toroidal dipolar super- solids,Phys. Rev. A103, 013313 (2021)

    2021

  39. [47]

    M. N. Tengstrand, P. St ¨urmer, J. Ribbing, and S. M. Reimann. Toroidal dipolar supersolid with a rotating weak linkPhys. Rev. A107, 063316 (2023)

    2023

  40. [48]

    ˇSindik, T

    M. ˇSindik, T. Zawi´slak, A. Recati, and S. Stringari, Sound, Su- perfluidity, and Layer Compressibility in a Ring Dipolar Super- solidPhys. Rev. Lett.132, 146001 (2024)

    2024

  41. [49]

    Preti, N

    N. Preti, N. Antolini, C. Drevon, P. Lombardi, A. Fioretti, C. Gabbanini, G. Ferioli, G. Modugno, and G. Biagioni, Single- fluid model for rotating annular supersolids and its experimen- tal implications,Phys. Rev. Lett.136, 036001 (2026)

    2026

  42. [50]

    V oronova, A

    N. V oronova, A. Grudinina, R. Panico, D. Trypogeorgos, M. De Giorgi, K. Baldwin, L. Pfeiffer, D. Sanvitto, and D. Ballarini, Exciton-polariton ring Josephson junction,Nat. Commun.16, 466 (2025)

    2025

  43. [51]

    Gati and M

    R. Gati and M. K. Oberthaler, A bosonic Josephson junction,J. Phys. B: At. Mol. Opt. Phys.40, R61–R89 (2007)

    2007

  44. [52]

    Est `eve, C

    J. Est `eve, C. Gross, A. Weller, S. Giovanazzi, and M. K. Oberthaler, Squeezing and entanglement in a Bose–Einstein condensate,Nature455, 1216–1219 (2008)

    2008

  45. [53]

    Berrada, S

    T. Berrada, S. van Frank, R. B ¨ucker, T. Schumm, J.-F. Schaff, and J. Schmiedmayer, Integrated Mach–Zehnder interferometer for Bose–Einstein condensates,Nat. Commun.4, 2077 (2013)

  46. [54]

    Pezz `e, A

    L. Pezz `e, A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, Quantum metrology with nonclassical states of atomic ensembles,Rev. Mod. Phys.90, 035005 (2018)

    2018

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