Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor
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arXiv
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| Autori principali: | , , , , , , , , |
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| Natura: | Preprint |
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2026
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| author | Hébraud, Julien Arrouas, Floriane Peaudecerf, Bruno Billy, Juliette Guéry-Odelin, David Giraud, Olivier Georgeot, Bertrand Lemarié, Gabriel Miniatura, Christian |
| author_facet | Hébraud, Julien Arrouas, Floriane Peaudecerf, Bruno Billy, Juliette Guéry-Odelin, David Giraud, Olivier Georgeot, Bertrand Lemarié, Gabriel Miniatura, Christian |
| contents | We study the effect of discrete symmetries on coherent multiple scattering in the quantum kicked rotor. When the initial momentum is set to zero -- as in recent Bose-Einstein condensate experiments -- the effective pseudo-disorder becomes even under momentum inversion. The resulting discrete mirror symmetry of the dynamics profoundly alters spectral correlations: it generates quasi-degenerate Floquet doublets localised at opposite momenta, whose exponentially small splittings produce a hierarchy of exponentially large dynamical timescales. The coherent backscattering and forward-scattering peaks then exhibit a striking non-monotonic evolution and strongly asymmetric contrasts, followed by an exceptionally slow logarithmic relaxation toward a common asymptotic value -- a hallmark of glassy dynamics, here emerging in a fully coherent quantum system. That such archetypal glass-like behaviour arises from a single discrete symmetry constraint reveals an unexpected and deep connection between quantum coherence and slow relaxation phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01707 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor Hébraud, Julien Arrouas, Floriane Peaudecerf, Bruno Billy, Juliette Guéry-Odelin, David Giraud, Olivier Georgeot, Bertrand Lemarié, Gabriel Miniatura, Christian Disordered Systems and Neural Networks Statistical Mechanics We study the effect of discrete symmetries on coherent multiple scattering in the quantum kicked rotor. When the initial momentum is set to zero -- as in recent Bose-Einstein condensate experiments -- the effective pseudo-disorder becomes even under momentum inversion. The resulting discrete mirror symmetry of the dynamics profoundly alters spectral correlations: it generates quasi-degenerate Floquet doublets localised at opposite momenta, whose exponentially small splittings produce a hierarchy of exponentially large dynamical timescales. The coherent backscattering and forward-scattering peaks then exhibit a striking non-monotonic evolution and strongly asymmetric contrasts, followed by an exceptionally slow logarithmic relaxation toward a common asymptotic value -- a hallmark of glassy dynamics, here emerging in a fully coherent quantum system. That such archetypal glass-like behaviour arises from a single discrete symmetry constraint reveals an unexpected and deep connection between quantum coherence and slow relaxation phenomena. |
| title | Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2603.01707 |