Second-order, number-conserving description of non-equilibrium dynamics in finite-temperature Bose-Einstein condensates
arXiv:1207.2821 · doi:10.1103/PhysRevA.87.033628
Abstract
While the Gross--Pitaevskii equation is well-established as the canonical dynamical description of atomic Bose-Einstein condensates (BECs) at zero-temperature, describing the dynamics of BECs at finite temperatures remains a difficult theoretical problem, particularly when considering low-temperature, non-equilibrium systems in which depletion of the condensate occurs dynamically as a result of external driving. In this paper, we describe a fully time-dependent numerical implementation of a second-order, number-conserving description of finite-temperature BEC dynamics. This description consists of equations of motion describing the coupled dynamics of the condensate and non-condensate fractions in a self-consistent manner, and is ideally suited for the study of low-temperature, non-equilibrium, driven systems. The δ-kicked-rotor BEC provides a prototypical example of such a system, and we demonstrate the efficacy of our numerical implementation by investigating its dynamics at finite temperature. We demonstrate that the qualitative features of the system dynamics at zero temperature are generally preserved at finite temperatures, and predict a quantitative finite-temperature shift of resonance frequencies which would be relevant for, and could be verified by, future experiments.
21 Pages, 6 Figures
References in corpus (66)
- Nonequilibrium dynamics of closed interacting quantum systems
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Observation of vortex dipoles in an oblate Bose-Einstein condensate
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Optical ferris wheel for ultracold atoms
- Extension of Bogoliubov theory to quasi-condensates
- Finite Temperature Models of Bose-Einstein Condensation
- Finite temperature excitations of a trapped Bose gas
- A particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas
- Simulations of Bose fields at finite temperature
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Damping in dilute Bose gases: a mean-field approach
- Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
- Collective excitations of Bose-Einstein condensed gases at finite temperatures
- A Gapless Theory of Bose-Einstein Condensation in Dilute Gases at Finite Temperature
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- Nonlinear Matter Wave Dynamics with a Chaotic Potential
- A microscopic quantum dynamics approach to the dilute condensed Bose gas
- Quantum turbulence and correlations in Bose-Einstein condensate collisions
- Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
- Split-step Fourier methods for the Gross-Pitaevskii equation
- Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
- Transition to Instability in a Kicked Bose-Einstein Condensate
- Finite temperature vortex dynamics in Bose Einstein condensates
- Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- Initial Stages of Bose-Einstein Condensation
- Dark soliton dynamics in Bose-Einstein condensates at finite temperature
- Matter-wave dark solitons: stochastic vs. analytical results
- A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas
- Quantum dynamics of atomic bright solitons under splitting and re-collision, and implications for interferometry
- The Stochastic Gross-Pitaevskii Equation and some Applications
- Transition to Instability in a Periodically Kicked Bose-Einstein Condensate on a Ring
- Entanglement in The Second Quantization Formalism
- Resonant nonlinear quantum transport for a periodically kicked Bose condensate
- Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases
- Experimental observation of high-order quantum accelerator modes
- Nonlinear atom-optical delta-kicked harmonic oscillator using a Bose-Einstein condensate
- Signatures of quantum stability in a classically chaotic system
- Quantitative test of thermal field theory for Bose-Einstein condensates
- Drag force on an impurity below the superfluid critical velocity in a quasi-one-dimensional Bose-Einstein condensate
- The response of Bose-Einstein condensates to external perturbations at finite temperature
- Rotational Response of Two-Component Bose-Einstein Condensates in Ring Traps
- Identical particles and entanglement
- Dynamical instability of a condensate induced by a rotating thermal gas
- Memory of the Initial Conditions in an Incompletely-Chaotic Quantum System: Universal Predictions and an Application to Cold Atoms
- Finite temperature excitations of Bose gases in anisotropic traps
- Accidental suppression of Landau damping of the transverse breathing mode in elongated Bose-Einstein condensates
- Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
- Gravity-Sensitive Quantum Dynamics in Cold Atoms
- Exploiting soliton decay and phase fluctuations in atom chip interferometry of Bose-Einstein condensates
- Many-body physics in the classical-field description of a degenerate Bose gas
- Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
- Bose-Einstein condensate of kicked rotators with time-dependent interaction
- Delocalized and Resonant Quantum Transport in Nonlinear Generalizations of the Kicked Rotor Model
- Coherence and Instability in a Driven Bose-Einstein Condensate: A Fully Dynamical Number-Conserving Approach
- Nonlinear resonances in δ-kicked Bose-Einstein Condensates
- The manifestation of quantum resonances and antiresonances in a finite temperature dilute atomic gas
- Effects of atomic interactions on Quantum Accelerator Modes
- Quantum resonances in an atom-optical delta-kicked harmonic oscillator
- Quantum tunneling of a vortex between two pinning potentials
- Quantitative test of thermal field theory for Bose-Einstein condensates II
- Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview
- A Dynamical Self-Consistent Finite Temperature Kinetic Theory: The ZNG Scheme
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- Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
- Dynamics and Density Correlations in Matter Wave Jet Emission of a Driven Condensate
- Nonequilibrium dynamics of an ultracold dipolar gas
- Cross-over to quasi-condensation: mean-field theories and beyond
- Kinetic Model of Trapped Finite Temperature Binary Condensates
- Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
- Number-conserving approaches to -component Bose-Einstein condensates
- Collision dynamics and entanglement generation of two initially independent and indistinguishable boson pairs in one-dimensional harmonic confinement
- Conditions for order and chaos in the dynamics of a trapped Bose-Einstein condensate in coordinate and energy space
- A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
- Particle-Number-Conserving Bogoliubov Approximation for Bose-Einstein Condensates Using Extended Catalytic States
- -coherence vs. -coherence: An alternative route to the Gross-Pitaevskii equation
- Layered Chaos in Mean-field and Quantum Many-body Dynamics
- Phase-space stochastic quantum hydrodynamics for interacting Bose gases
- Emergence and destruction of macroscopic wave functions
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