Prethermalization and wave condensation in a nonlinear disordered Floquet system
arXiv:2109.14347 · doi:10.1209/0295-5075/ad1415
Abstract
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 Gross-Pitaevskii 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. These predictions could be tested in nonlinear optical experiments or with ultracold atoms.
arXiv comment8 pages, 4 figures + Supplementary Material
References in corpus (67)
- Photonic Floquet Topological Insulators
- Experimental realisation of the topological Haldane model
- Quantum fluids of light
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Topological characterization of periodically-driven quantum systems
- Atomic quantum gases in periodically driven optical lattices
- Floquet Engineering of Quantum Materials
- Floquet Time Crystals
- Light-induced anomalous Hall effect in graphene
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Many-body localization in periodically driven systems
- Random Quantum Circuits
- Experimental observation of the Anderson transition with atomic matter waves
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Exponentially slow heating in periodically driven many-body systems
- Destruction of Anderson localization by a weak nonlinearity
- Fate of many-body localization under periodic driving
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Periodically driven ergodic and many-body localized quantum systems
- Realization of an anomalous Floquet topological system with ultracold atoms
- Periodically Driving a Many-Body Localized Quantum System
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Equilibration and Order in Quantum Floquet Matter
- Disorder-induced Floquet Topological Insulators
- Condensation of classical nonlinear waves
- Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
- Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
- Many-Body Coherent Destruction of Tunneling
- Floquet symmetry-protected topological phases in cold atomic systems
- Quantized Adiabatic Transport in Momentum Space
- Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment
- Observation of Floquet prethermalization in dipolar spin chains
- Interaction dependent heating and atom loss in a periodically driven optical lattice
- Rayleigh-Jeans condensation of classical light : Observation and thermodynamic characterization
- Delocalization induced by nonlinearity in systems with disorder
- The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
- Coherent Backscattering of Ultracold Atoms
- Quantum Hall effect in a one-dimensional dynamical system
- The Floquet-Boltzmann equation
- Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
- Classical Prethermal Phases of Matter
- Nonequilibrium chaos of disordered nonlinear waves
- Floquet prethermalization in periodically driven classical spin systems
- How nonlinear interactions challenge the three-dimensional Anderson transition
- Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
- Observation of light thermalization to negative temperature Rayleigh-Jeans equilibrium states in multimode optical fibers
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Interaction-driven breakdown of dynamical localization in a kicked quantum gas
- Quantum simulation of disordered systems with cold atoms
- Interactions destroy dynamical localization with strong and weak chaos
- Interplay of thermalization and strong disorder: Wave turbulence theory, numerical simulations, and experiments in multimode optical fibers
- Dynamics of the mean-field interacting quantum kicked rotor
- Strong Anderson localization in cold atom quantum quenches
- Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos
- Semiclassical approach to ground-state properties of hard-core bosons in two dimensions
- Coherent backscattering reveals the Anderson transition
- On the local nature and scaling of chaos in weakly nonlinear disordered chains
- Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
- Coherent back and forward scattering peaks in the quantum kicked rotor
- Quench dynamics of a weakly interacting disordered Bose gas in momentum space
- The Gross Pitaevski map as a chaotic dynamical system
- Spectral correlations in Anderson insulating wires
- Subdiffusion in wave packets with periodically kicked interactions
- Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
- Superfluidity vs prethermalisation in a nonlinear Floquet system