Issue |
EPL
Volume 144, Number 6, December 2023
|
|
---|---|---|
Article Number | 63001 | |
Number of page(s) | 7 | |
Section | Fluid and nonlinear dynamics | |
DOI | https://doi.org/10.1209/0295-5075/ad1415 | |
Published online | 02 January 2024 |
Rayleigh-Jeans prethermalization and wave condensation in a nonlinear disordered Floquet system
1 Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS - Toulouse, France
2 Department of Physics, National University of Singapore - 2 Science Drive 3, Singapore 117542, Singapore
3 Université Côte d'Azur, CNRS, INPHYNI - Nice, France
4 MajuLab, International Joint Research Unit IRL 3654, CNRS, Université Côte d'Azur, Sorbonne Université, National University of Singapore, Nanyang Technological University, Singapore
5 Centre for Quantum Technologies, National University of Singapore - 117543 Singapore, Singapore
6 School of Physical and Mathematical Sciences, Nanyang Technological University - 637371 Singapore, Singapore
Received: 19 September 2023
Accepted: 11 December 2023
Periodically driven quantum systems make it possible to reach stationary states with new emerging properties. However, this process is notoriously difficult in the presence of interactions because continuous energy exchanges generally boil the system to an infinite temperature featureless state. Here, we describe how to reach nontrivial states in a periodically kicked nonlinear disordered system. One ingredient is crucial: both disorder and kick strengths should be weak enough to induce sufficiently narrow and well-separated Floquet bands. In this case, inter-band heating processes are strongly suppressed and the system can reach an exponentially long-lived prethermal plateau described by the Rayleigh-Jeans distribution. Saliently, the system can even undergo a wave condensation process when its initial state has a sufficiently low total quasi-energy.
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