Simulations of Bose fields at finite temperature
arXiv:cond-mat/0011431 · doi:10.1103/PhysRevLett.87.160402
Abstract
We introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially condensed homogeneous Bose gas, and find that this equation will evolve randomised initial wave functions to equilibrium. We compare our numerical data to the predictions of a gapless, second order theory of Bose-Einstein condensation [S. A. Morgan, J. Phys. B {\bf 33}, 3847 (2000)], and find that we can determine a temperature when the theory is valid. As the Gross-Pitaevskii equation is non-perturbative, we expect that it can describe the correct thermal behaviour of a Bose gas as long as all relevant modes are highly occupied. Our method could be applied to other boson fields.
Four pages, four figures, revtex. Updated to version in PRL. Note that the numerical data has changed since v1, however the conclusions remain the same
References in corpus (3)
Cited by in corpus (149)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Finite Temperature Models of Bose-Einstein Condensation
- Roadmap on Atomtronics: State of the art and perspective
- Condensation of classical nonlinear waves
- Thermodynamic theory of highly multimoded nonlinear optical systems
- A classical field method for time dependent Bose condensed gases
- Weakly Interacting, Dilute Bose Gases in 2D
- The stochastic Gross-Pitaevskii equation II
- Emergence of order from turbulence in an isolated planar superfluid
- Recurrences in an isolated quantum many-body system
- Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
- Onsager-Kraichnan Condensation in Decaying Two-Dimensional Quantum Turbulence
- Quantum turbulence and correlations in Bose-Einstein condensate collisions
- Simulations of thermal Bose fields in the classical limit
- Quantum turbulence in condensate collisions: an application of the classical field method
- Finite temperature vortex dynamics in Bose Einstein condensates
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- Modelling Bose-condensed gases at finite temperatures with -body simulations
- Dynamics of thermal Bose fields in the classical limit
- Theory of coherent Bragg spectroscopy of a trapped Bose-Einstein condensate
- A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas
- Energy cascade with small-scales thermalization, counterflow metastability and anomalous velocity of vortex rings in Fourier-truncated Gross-Pitaevskii equation
- The Stochastic Gross-Pitaevskii Equation and some Applications
- Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
- Vortex pairing in two-dimensional Bose gases
- Microcanonical temperature for a classical field: application to Bose-Einstein condensation
- Nonadiabatic dynamics of a Bose-Einstein condensate in an optical lattice
- The stochastic projected Gross-Pitaevskii equation
- A comparison between microscopic methods for finite temperature Bose gases
- Dissipative dynamics of superfluid vortices at non-zero temperatures
- Quasi-condensate growth on an atom chip
- Quantum dynamics in splitting a harmonically trapped Bose-Einstein condensate by an optical lattice: Truncated Wigner approximation
- The Quantum de Laval Nozzle: stability and quantum dynamics of sonic horizons in a toroidally trapped Bose gas containing a superflow
- The response of Bose-Einstein condensates to external perturbations at finite temperature
- Collisionless sound in a uniform two-dimensional Bose gas
- Oscillations and decay of superfluid currents in a one-dimensional Bose gas on a ring
- Finite-temperature hydrodynamics for one-dimensional Bose gases: Breathing mode oscillations as a case study
- Bose-Einstein condensation and Berezinskii-Kosterlitz-Thouless transition in 2D Nonlinear Schrödinger model
- 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
- Dispersive bottleneck delaying thermalization of turbulent Bose-Einstein Condensates
- Superfluidity of an interacting trapped quasi-2D Bose gas
- Probing the classical field approximation - thermodynamics and decaying vortices
- Persistent current formation in a high-temperature Bose-Einstein condensate: an experimental test for c-field theory
- What is a quantum shock wave?
- Dark-bright solitons in Bose-Einstein condensates at finite temperatures
- Non-diffusive phase spreading of a Bose-Einstein condensate at finite temperature
- Dynamical instabilities of Bose-Einstein condensates at the band-edge in one-dimensional optical lattices
- Variable energy flux in turbulence
- On the observation of nonclassical excitations in Bose-Einstein condensates
- Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
- A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions
- Numerical method for the stochastic projected Gross-Pitaevskii equation
- Thermalization of a quantum Newton's cradle in a one-dimensional quasicondensate
- Temperature dependent Bogoliubov approximation in the classical fields approach to weakly interacting Bose gas
- Fluctuating and dissipative dynamics of dark solitons in quasi-condensates
- Many-body physics in the classical-field description of a degenerate Bose gas
- Quantitative estimation of effective viscosity in quantum turbulence
- Validating Simple Dynamical Simulations of the Unitary Fermi Gas
- Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
- Calculation of the microcanonical temperature for the classical Bose field
- Three particles in an external trap: Nature of the complete J=0 spectrum
- Classical Region of a Trapped Bose Gas
- Spatial Correlation Functions of one-dimensional Bose gases at Equilibrium
- Second-order, number-conserving description of non-equilibrium dynamics in finite-temperature Bose-Einstein condensates
- Numerical method for evolving the dipolar projected Gross-Pitaevskii equation
- Two point correlations of a trapped interacting Bose gas at finite temperature
- Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
- Decaying quantum turbulence in a two-dimensional Bose-Einstein condensate at finite temperature
- Entropic thermodynamics of nonlinear photonic chain networks
- Ultra-quantum turbulence in a quenched homogeneous Bose gas
- Genuine phase diffusion of a Bose-Einstein condensate in the microcanonical ensemble: A classical field study
- Quantum ferrofluid turbulence
- Finite-temperature dynamics of a single vortex in a Bose-Einstein condensate: Equilibrium precession and rotational symmetry breaking
- Condensation of Classical Nonlinear Waves in a Two-Component System
- Anomalous vortex ring velocities induced by thermally-excited Kelvin waves and counterflow effects in superfluids
- Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
- Response of an atomic Bose-Einstein condensate to a rotating elliptical trap
- Reservoir interactions during Bose-Einstein condensation: modified critical scaling in the Kibble-Zurek mechanism of defect formation
- Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
- Collective modes and generation of a new vortex in a trapped Bose gas at finite temperature
- Quantum fluctuations in trapped time-dependent Bose-Einstein condensates
- Decay of multiply charged vortices at nonzero temperatures
- Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas
- Classical field records of a quantum system: their internal consistency and accuracy
- Self-similar evolution of wave turbulence in Gross-Pitaevskii system
- Evaporative cooling of cold atoms at surfaces
- Excitation picture of an interacting Bose gas
- Splitting and merging an elongated Bose-Einstein condensate at finite temperature
- Brownian motion of a matter-wave bright soliton: realizing a quantum pollen grain
- Condensation and quasicondensation in an elongated three-dimensional Bose gas
- Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
- Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap
- Particle number fluctuations in a cloven trapped Bose gas at finite temperature
- Critical velocity of a finite-temperature Bose gas
- Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
- Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
- Thermodynamics of a spin-1 Bose gas with fixed magnetization
- Classical fields in the one-dimensional Bose gas: applicability and determination of the optimal cutoff
- Temporal coherence, anomalous moments, and pairing correlations in the classical-field description of a degenerate Bose gas
- Continuum of classical-field ensembles from canonical to grand canonical and the onset of their equivalence
- Non-equilibrium Bose-Einstein Condensation
- Superfluidity of the BEC at finite temperature
- Clustering and phase transitions in a 2D superfluid with immiscible active impurities
- On the origins of spectral broadening of incoherent waves:Catastrophic process of coherence degradation
- Non-equilibrium and local detection of the normal fraction of a trapped two-dimensional Bose gas
- Complex Langevin approach to interacting Bose gases
- Complex wave fields in the interacting one-dimensional Bose gas
- Finite temperature effects in helical quantum turbulence
- A tractable prescription for large-scale free flight expansion of wavefunctions
- A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
- Stochastic motion of finite-size immiscible impurities in a dilute quantum fluid at finite temperature
- Decoherence effects in Bose-Einstein condensate interferometry. I General Theory
- Dynamics of Hot Bose-Einstein Condensates: stochastic Ehrenfest relations for number and energy damping
- Classical fields method for a relativistic interacting Bose gas
- Many-body exceptional points in colliding condensates
- Approximating Steady States in Equilibrium and Nonequilibrium Condensates
- Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas
- On the fluctuations of the number of atoms in the condensate
- Precessional motion of a vortex in a finite-temperature Bose-Einstein condensate
- Layered Chaos in Mean-field and Quantum Many-body Dynamics
- Classical field techniques for condensates in one-dimensional rings at finite temperatures
- From a nonlinear string to a weakly interacting Bose gas
- Dipolar Bose gas with three-body interactions at finite temperature
- Decay of phase-imprinted dark soliton in Bose-Einstein condensate at non-zero temperature
- Projected Gross-Pitaevskii equation for ring-shaped Bose-Einstein condensates
- Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
- Simulating quantum transport for a quasi-one-dimensional Bose gas in an optical lattice: the choice of fluctuation modes in the truncated Wigner approximation
- Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
- Kelvin waves, mutual friction, and fluctuations in the Gross-Pitaevskii model
- Equilibration of a finite temperature binary Bose gas formed by population transfer
- Spatio-temporal thermalization and adiabatic cooling of guided light waves
- Beyond Gross-Pitaevskii Mean Field Theory
- Spin distillation cooling of ultracold Bose gases
- Collective excitations of a Bose-condensed gas: Fate of second sound in the crossover regime between hydrodynamic and collisionless regimes
- Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas
- Spin Squeezing in Finite Temperature Bose-Einstein Condensates : Scaling with the system size
- Classical fields and quantum measurement for Bose-Einstein condensate
- Dynamics of quantum vortices at finite temperature
- Observing phase jumps of solitons in Bose-Einstein condensates
- Norm preserving stochastic field equation for an ideal Bose gas in a trap: numerical implementation and applications
- Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures