Probing non-ergodicity and symmetry via coherent forward scattering in a shaken rotor

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Auteurs principaux: Arrouas, F., Hébraud, J., Ombredane, N., Flament, E., Ronco, D., Dupont, N., Lemarié, G., Georgeot, B., Miniatura, Ch., Billy, J., Peaudecerf, B., Guéry-Odelin, D.
Format: Preprint
Publié: 2025
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author Arrouas, F.
Hébraud, J.
Ombredane, N.
Flament, E.
Ronco, D.
Dupont, N.
Lemarié, G.
Georgeot, B.
Miniatura, Ch.
Billy, J.
Peaudecerf, B.
Guéry-Odelin, D.
author_facet Arrouas, F.
Hébraud, J.
Ombredane, N.
Flament, E.
Ronco, D.
Dupont, N.
Lemarié, G.
Georgeot, B.
Miniatura, Ch.
Billy, J.
Peaudecerf, B.
Guéry-Odelin, D.
contents The Coherent Backscattering (CBS) peak is a well-known interferential signature of weak localization in disordered or chaotic systems. More recently, a second interference feature -- the Coherent Forward Scattering (CFS) peak -- was predicted to emerge in the regime of strong localization. However, it has never been directly observed. Here we report the first direct observation of the CFS peak and demonstrate its dual role as a signature of non-ergodicity and as a probe of symmetries in quantum chaotic systems. Using a shaken rotor model realized with a Bose-Einstein condensate (BEC) of ultracold atoms in a modulated optical lattice, we investigate dynamical localization in momentum space. The CFS peak emerges in the position distribution as a consequence of non-ergodic dynamics, while its growth timescale reveals the underlying localization length. By finely tuning the modulation, we control time-reversal and parity symmetries and measure their distinct effects on both CBS and CFS peaks. Our results highlight the strong link of both the temporal growth and contrast of the CFS with symmetry and localization, making it a robust probe of these properties. This work opens new directions for characterizing non-ergodicity and symmetries in quantum chaotic or disordered systems, with possible applications in many-body localization and chaos.
format Preprint
id arxiv_https___arxiv_org_abs_2503_01777
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing non-ergodicity and symmetry via coherent forward scattering in a shaken rotor
Arrouas, F.
Hébraud, J.
Ombredane, N.
Flament, E.
Ronco, D.
Dupont, N.
Lemarié, G.
Georgeot, B.
Miniatura, Ch.
Billy, J.
Peaudecerf, B.
Guéry-Odelin, D.
Quantum Gases
Quantum Physics
The Coherent Backscattering (CBS) peak is a well-known interferential signature of weak localization in disordered or chaotic systems. More recently, a second interference feature -- the Coherent Forward Scattering (CFS) peak -- was predicted to emerge in the regime of strong localization. However, it has never been directly observed. Here we report the first direct observation of the CFS peak and demonstrate its dual role as a signature of non-ergodicity and as a probe of symmetries in quantum chaotic systems. Using a shaken rotor model realized with a Bose-Einstein condensate (BEC) of ultracold atoms in a modulated optical lattice, we investigate dynamical localization in momentum space. The CFS peak emerges in the position distribution as a consequence of non-ergodic dynamics, while its growth timescale reveals the underlying localization length. By finely tuning the modulation, we control time-reversal and parity symmetries and measure their distinct effects on both CBS and CFS peaks. Our results highlight the strong link of both the temporal growth and contrast of the CFS with symmetry and localization, making it a robust probe of these properties. This work opens new directions for characterizing non-ergodicity and symmetries in quantum chaotic or disordered systems, with possible applications in many-body localization and chaos.
title Probing non-ergodicity and symmetry via coherent forward scattering in a shaken rotor
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2503.01777