Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
arXiv:2009.10477 · doi:10.21468/SciPostPhys.10.1.008
Abstract
We consider a time-dependent extension of a perturbative mean-field approach to the dirty boson problem by considering how switching on and off a weak disorder potential affects the stationary state of an initially equilibrated Bose-Einstein condensate by the emergence of a disorder-induced condensate deformation. We find that in the switch on scenario the stationary condensate deformation turns out to be a sum of an equilibrium part, that actually corresponds to adiabatic switching on the disorder, and a dynamically-induced part, where the latter depends on the particular driving protocol. If the disorder is switched off afterwards, the resulting condensate deformation acquires an additional dynamically-induced part in the long-time limit, while the equilibrium part vanishes. We also present an appropriate generalization to inhomogeneous trapped condensates. Our results demonstrate that the condensate deformation represents an indicator of the generically non-equilibrium nature of steady states of a Bose gas in a temporally controlled weak disorder.
arXiv comment18 pages, 5 figures, submission to SciPost
References in corpus (46)
- Many-body localization, thermalization, and entanglement
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Floquet Engineering of Quantum Materials
- Training Schrödinger's cat: quantum optimal control
- Periodically Driving a Many-Body Localized Quantum System
- Quantum harmonic oscillator state synthesis by reservoir engineering
- Quantum quench dynamics
- Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
- Matterwave localization in disordered cold atom lattices
- Evidence for unbounded growth of the number entropy in many-body localized phases
- Cold atoms in the presence of disorder
- Effects of Disorder in a Dilute Bose Gas
- Glassy behavior in a binary atomic mixture
- Observation of topological transport quantization by dissipation in fast Thouless pumps
- Thermodynamics of the superfluid dilute Bose gas with disorder
- Disorder in quantum many-body systems
- Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
- Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
- Fluctuation-Induced Quantum Zeno Effect
- Superfluidity vs Bose-Einstein condensation in a Bose gas with disorder
- Environment-assisted quantum control of a solid-state spin via coherent dark states
- Bose-Einstein-condensed systems in random potentials
- Many-body localization, symmetry, and topology
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Bogoliubov Excitations of Disordered Bose-Einstein Condensates
- Nonlinear Bose-Einstein-condensate Dynamics Induced by a Harmonic Modulation of the s-wave Scattering Length
- Thermodynamics of a Bose-Einstein Condensate with Weak Disorder
- Bose-Einstein condensation and superfluidity of dilute Bose gas in a random potential
- Quantum spin dynamics of individual neutral impurities coupled to a Bose-Einstein condensate
- Dipolar Bose-Einstein Condensates with Weak Disorder
- Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
- Bose-Einstein-condensed gases in arbitrarily strong random potentials
- The upside of noise: engineered dissipation as a resource in superconducting circuits
- Bose-Einstein Condensates in Strongly Disordered Traps
- Condensate deformation and quantum depletion of Bose-Einstein condensates in external potentials
- Light-cone and diffusive propagation of correlations in a many-body dissipative system
- Bogoliubov Theory of Dipolar Bose Gas in Weak Random Potential
- Dipolar Bose gas in a weak isotropic speckle disorder
- Collective Oscillations in Trapped Bose-Einstein Condensed Gases in the Presence of Weak Disorder
- Order via Nonlinearity in Randomly Confined Bose Gases
- Bose Condensed Gas in Strong Disorder Potential With Arbitrary Correlation Length
- Bose-Einstein Condensate in Weak 3d Isotropic Speckle Disorder
- Superfluidity and Bose-Einstein condensation in a dipolar Bose gas with weak disorder
- Cloud shape of a molecular Bose-Einstein condensate in a disordered trap: a case study of the dirty boson problem
- Variational approach for Bose-Einstein condensates in strongly disordered traps
- Superfluids, Fluctuations and Disorder