Quench dynamics of a weakly interacting disordered Bose gas in momentum space
arXiv:2006.02889 · doi:10.1103/PhysRevResearch.2.033349
Abstract
We theoretically study the out-of-equilibrium dynamics in momentum space of a weakly interacting disordered Bose gas launched with a finite velocity. In the absence of interactions, coherent multiple scattering gives rise to a background of diffusive particles, on top of which a coherent backscattering interference emerges. We revisit this scenario in the presence of interactions, using a diagrammatic quantum transport theory. We find that the dynamics is governed by coupled kinetic equations describing the thermalization of the diffusive and coherent components of the gas. This phenomenon leads to a destruction of coherent backscattering, well described by an exponential relaxation whose rate is controlled by the particle collision time. These predictions are confirmed by numerical simulations.
arXiv comment16 pages, 12 figures
References in corpus (51)
- Nonequilibrium dynamics of closed interacting quantum systems
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Experimental Observation of a Generalized Gibbs Ensemble
- Many-body localization: an introduction and selected topics
- Destruction of Anderson localization by a weak nonlinearity
- Universal spreading of wavepackets in disordered nonlinear systems
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
- Observation of universal dynamics in a spinor Bose gas far from equilibrium
- Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
- Condensation of classical nonlinear waves
- Delocalization of wave packets in disordered nonlinear chains
- Universal Prethermal Dynamics of Bose Gases Quenched to Unitarity
- Coherent Matter Wave Transport in Speckle Potentials
- Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
- Observation of scaling in the dynamics of a strongly quenched quantum gas
- Weak chaos in the disordered nonlinear Schroedinger chain: destruction of Anderson localization by Arnold diffusion
- Coherent Backscattering of Ultracold Atoms
- Localization of Matter Waves in 2D-Disordered Optical Potentials
- Dynamical Thermalization of Disordered Nonlinear Lattices
- Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials
- Universal Nonlinear Disordered Wave Packet Subdiffusion: 12 Decades
- Coherent Forward Scattering Peak Induced by Anderson Localization
- How nonlinear interactions challenge the three-dimensional Anderson transition
- Numerical approaches to time evolution of complex quantum systems
- Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
- Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
- Measurement of spectral functions of ultracold atoms in disordered potentials
- Universal Superfluid Transition and Transport Properties of Two-Dimensional Dirty Bosons
- Nonlinear coherent transport of waves in disordered media
- Suppression and Revival of Weak Localization through Control of Time-Reversal Symmetry
- Enhanced backscattering of a dilute Bose-Einstein condensate
- Thermalization of matter waves in speckle potentials
- Return to the Origin as a Probe of Atomic Phase Coherence
- Semiclassical spectral function for matter waves in random potentials
- Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
- Nonlinear wave-packet dynamics in a disordered medium
- Echo spectroscopy of Anderson localization
- Fokker-Planck equation for transport of wave packets in nonlinear disordered media
- Momentum isotropisation in random potentials
- Semiclassical spectral function and density of states in speckle potentials
- Effective theory for the propagation of a wave-packet in a disordered and nonlinear medium
- Microscopic scattering theory for interacting bosons in weak random potentials
- A self-consistent theory of localization in nonlinear random media
- Kinetics of the disordered Bose gas with collisions
- Flux conservation in coherent backscattering and weak localisation of light
Cited by in corpus (12)
- Machine-learning assisted quantum control in random environment
- Weakly interacting disordered Bose gases out of equilibrium: from multiple scattering to superfluidity
- Effects of disorder upon transport and Anderson Localization in a finite, two dimensional Bose gas
- Prethermalization and wave condensation in a nonlinear disordered Floquet system
- Coherent Forward Scattering Peak and Multifractality
- Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench
- Localization landscape for interacting Bose gases in one-dimensional speckle potentials
- Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
- Time evolution of coherent wave propagation and spin relaxation in spin-orbit coupled systems
- Inversion of coherent backscattering with interacting Bose-Einstein condensates in two-dimensional disorder : a Truncated Wigner approach
- From inverse-cascade to sub-diffusive dynamic scaling in driven disordered Bose fluids
- Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering