The stochastic projected Gross-Pitaevskii equation
arXiv:1210.0952 · doi:10.1103/PhysRevA.86.053634
Abstract
We have achieved the first full implementation of the stochastic projected Gross-Pitaevskii equation for a three-dimensional trapped Bose gas at finite temperature. Our work advances previous applications of this theory, which have only included growth processes, by implementing number-conserving scattering processes. We evaluate an analytic expression for the coefficient of the scattering term and compare it to that of the growth term in the experimental regime, showing the two coefficients are comparable in size. We give an overview of the numerical implementation of the deterministic and stochastic terms for the scattering process, and use simulations of a condensate excited into a large amplitude breathing mode oscillation to characterize the importance of scattering and growth processes in an experimentally accessible regime. We find that in such non-equilibrium regimes the scattering can dominate over the growth, leading to qualitatively different system dynamics. In particular, the scattering causes the system to rapidly reach thermal equilibrium without greatly depleting the condensate, suggesting that it provides a highly coherent energy transfer mechanism.
13 pages, 6 figures
References in corpus (57)
- Many-Body Physics with Ultracold Gases
- Theory of Bose-Einstein condensation in trapped gases
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Vortex Nucleation in a Stirred Bose-Einstein Condensate
- Driving Bose-Einstein condensate vorticity with a rotating normal cloud
- Vortex lattice formation in a rotating Bose-Einstein condensate
- Finite Temperature Models of Bose-Einstein Condensation
- Phenomenological damping in trapped atomic Bose-Einstein condensates
- Simulations of Bose fields at finite temperature
- Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
- Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid
- The stochastic Gross-Pitaevskii equation II
- Soliton creation during a Bose-Einstein condensation
- Kinetics of Bose-Einstein Condensation in a Trap
- The nucleation, growth and stabilization of vortex lattices
- Stochastic classical field model for polariton condensates
- Quantum Kinetic Theory of Condensate Growth---Comparison of Experiment and Theory
- Winding up superfluid in a torus via Bose Einstein condensation
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
- Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
- Simulations of thermal Bose fields in the classical limit
- Growth of Bose-Einstein Condensates from Thermal Vapor
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- Decay of a quantum vortex: test of non-equilibrium theories for warm Bose-Einstein condensates
- Initial Stages of Bose-Einstein Condensation
- Crystallized merons and inverted merons in the condensation of spin-1 Bose gases with spin-orbit coupling
- Matter-wave dark solitons: stochastic vs. analytical results
- The Stochastic Gross-Pitaevskii Equation and some Applications
- Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
- Suppression of Kelvon-induced decay of quantized vortices in oblate Bose-Einstein Condensates
- Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
- Microcanonical temperature for a classical field: application to Bose-Einstein condensation
- Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas
- A comparison between microscopic methods for finite temperature Bose gases
- Quasi-condensate growth on an atom chip
- Quantum Kinetic Theory VI: The Growth of a Bose-Einstein Condensate
- Properties of the stochastic Gross-Pitaevskii equation: Projected Ehrenfest relations and the optimal plane wave basis
- Numerical method for evolving the Projected Gross-Pitaevskii equation
- Ab initio methods for finite temperature two-dimensional Bose gases
- Critical properties of a trapped interacting Bose gas
- Spontaneous Crystallization of Skyrmions and Fractional Vortices in the Fast-rotating and Rapidly-quenched Spin-1 Bose-Einstein Condensates
- Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
- Many-body physics in the classical-field description of a degenerate Bose gas
- Fluctuating and dissipative dynamics of dark solitons in quasi-condensates
- Quantitative study of quasi-one-dimensional Bose gas experiments via the stochastic Gross-Pitaevskii equation
- Spatial Correlation Functions of one-dimensional Bose gases at Equilibrium
- Two point correlations of a trapped interacting Bose gas at finite temperature
- Numerical method for evolving the dipolar projected Gross-Pitaevskii equation
- Phase coherence in quasicondensate experiments: an ab initio analysis via the stochastic Gross-Pitaevskii equation
- PGPE theory of finite temperature collective modes for a trapped Bose gas
- Finite-temperature dynamics of a single vortex in a Bose-Einstein condensate: Equilibrium precession and rotational symmetry breaking
- Condensation dynamics in a quantum-quenched Bose gas
- Interplay of Density and Phase Fluctuations in Ultracold One-dimensional Bose Gases
- Temporal coherence, anomalous moments, and pairing correlations in the classical-field description of a degenerate Bose gas
- Quantitative test of mean-field description of a trapped two-dimensional Bose gas
Cited by in corpus (42)
- Giant Vortex Clusters in a Two-Dimensional Quantum Fluid
- Roadmap on Atomtronics: State of the art and perspective
- A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
- Two-Dimensional Supersolid Formation in Dipolar Condensates
- Quantum breathing dynamics of ultracold bosons in 1D-harmonic traps: Unraveling the pathway from few- to many-body systems
- Persistent current formation in a high-temperature Bose-Einstein condensate: an experimental test for c-field theory
- Stochastic Projected Gross-Pitaevskii equation for spinor and multi-component condensates
- Fully quantum scalable description of driven dissipative lattice models
- Numerical method for the stochastic projected Gross-Pitaevskii equation
- Turbulent relaxation to equilibrium in a two-dimensional quantum vortex gas
- Coarsening dynamics of an isotropic ferromagnetic superfluid
- Validating Simple Dynamical Simulations of the Unitary Fermi Gas
- Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
- Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
- A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases
- Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
- Reservoir interactions during Bose-Einstein condensation: modified critical scaling in the Kibble-Zurek mechanism of defect formation
- Condensation and quasicondensation in an elongated three-dimensional Bose gas
- Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates
- Brownian motion of a matter-wave bright soliton: realizing a quantum pollen grain
- Classical analogies for the force acting on an impurity in a Bose-Einstein condensate
- Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
- Continuum of classical-field ensembles from canonical to grand canonical and the onset of their equivalence
- Non-equilibrium Atomic Condensates and Mixtures: Collective Modes, Condensate Growth and Thermalization
- Vortex depinning in a two-dimensional superfluid
- Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas
- Thermally activated local collapse of a flattened dipolar condensate
- Shock Waves in a Superfluid with Higher-Order Dispersion
- Complex wave fields in the interacting one-dimensional Bose gas
- Thermal Decay of Planar Jones-Roberts Solitons
- A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
- Vortex Avalanches and Collective Motion in Neutron Stars
- Dynamics of Hot Bose-Einstein Condensates: stochastic Ehrenfest relations for number and energy damping
- On the fluctuations of the number of atoms in the condensate
- Maxwell relation between entropy and atom-atom pair correlation
- Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
- Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
- Collective excitations of a Bose-condensed gas: Fate of second sound in the crossover regime between hydrodynamic and collisionless regimes
- Equilibrium, Relaxation and Fluctuations in homogeneous Bose-Einstein Condensates: Linearized Classical Field Analysis
- Simulating Quantum Turbulence with Matrix Product States
- Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
- Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism