Quantum turbulence in condensate collisions: an application of the classical field method

Abstract

We apply the classical field method to simulate the production of correlated atoms during the collision of two Bose-Einstein condensates. Our non-perturbative method includes the effect of quantum noise, and provides for the first time a theoretical description of collisions of high density condensates with very large out-scattered fractions. Quantum correlation functions for the scattered atoms are calculated from a single simulation, and show that the correlation between pairs of atoms of opposite momentum is rather small. We also predict the existence of quantum turbulence in the field of the scattered atoms--a property which should be straightforwardly measurable.

arXiv comment5 pages, 3 figures: Rewritten text, replaced figures

References in corpus (21)

• Optical Confinement of a Bose-Einstein Condensate
• Dynamical quantum noise in Bose-Einstein condensates
• Vortex Nucleation in a Stirred Bose-Einstein Condensate
• Driving Bose-Einstein condensate vorticity with a rotating normal cloud
• Suppression and enhancement of impurity scattering in a Bose-Einstein condensate
• Simulations of Bose fields at finite temperature
• A classical field method for time dependent Bose condensed gases
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Generation of macroscopic pair-correlated atomic beams by four-wave mixing in Bose-Einstein condensates
• A microscopic quantum dynamics approach to the dilute condensed Bose gas
• Simulations of thermal Bose fields in the classical limit
• Stochastic Dynamics of a Trapped Bose-Einstein Condensate
• Beliaev damping of quasi-particles in a Bose-Einstein condensate
• Multi-mode description of an interacting Bose-Einstein condensate
• Dynamics of thermal Bose fields in the classical limit
• Elastic scattering loss of atoms from colliding Bose-Einstein condensate wavepackets
• Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
• Quantum effects on dynamics of instabilities in Bose-Einstein condensates
• A Monte Carlo Formulation of the Bogolubov Theory
• Probing the classical field approximation - thermodynamics and decaying vortices
• Spontaneous emission of atoms via collisions of Bose-Einstein condensates

Cited by in corpus (79)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Finite Temperature Models of Bose-Einstein Condensation
• Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
• Color Glass Condensate and Glasma
• A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
• Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates
• Correlations in a BEC collision: First-principles quantum dynamics with 150 000 atoms
• Collective emission of matter-wave jets from driven Bose-Einstein condensates
• The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
• Quantum turbulence and correlations in Bose-Einstein condensate collisions
• Spontaneous Four-Wave Mixing of de Broglie Waves: Beyond Optics
• Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
• The Stochastic Gross-Pitaevskii Equation and some Applications
• A comparison between microscopic methods for finite temperature Bose gases
• Quantum depletion of collapsing Bose-Einstein condensates
• Instability induced pressure isotropization in a longitudinally expanding system
• Functional Wigner representation of BEC quantum dynamics
• Atomic four-wave mixing via condensate collisions
• Color Glass Condensate and Glasma
• Numerical method for evolving the Projected Gross-Pitaevskii equation
• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• First-principles quantum dynamics in interacting Bose gases II: stochastic gauges
• Formulation of the Schwinger mechanism in classical statistical field theory
• Atom-atom correlations in colliding Bose-Einstein condensates
• Quantum multimode model of elastic scattering from Bose Einstein condensates
• Non-diffusive phase spreading of a Bose-Einstein condensate at finite temperature
• Fully quantum scalable description of driven dissipative lattice models
• Dynamical instabilities of Bose-Einstein condensates at the band-edge in one-dimensional optical lattices
• Disruption of reflecting Bose-Einstein condensates due to inter-atomic interactions and quantum noise
• Dynamical preparation of EPR entanglement in two-well Bose-Einstein condensates
• Quantum noise in three-dimensional BEC interferometry
• Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
• Exploiting soliton decay and phase fluctuations in atom chip interferometry of Bose-Einstein condensates
• Spatial pair correlations of atoms in molecular dissociation
• Many-body physics in the classical-field description of a degenerate Bose gas
• Classical Region of a Trapped Bose Gas
• Bogoliubov dynamics of condensate collisions using the positive-P representation
• Pair correlations of scattered atoms from two colliding Bose-Einstein Condensates: Perturbative Approach
• Hybrid phase-space simulation method for interacting Bose fields
• Two point correlations of a trapped interacting Bose gas at finite temperature
• Genuine phase diffusion of a Bose-Einstein condensate in the microcanonical ensemble: A classical field study
• Response of an atomic Bose-Einstein condensate to a rotating elliptical trap
• Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates
• Approximate particle number distribution from direct stochastic sampling of the Wigner function
• Distortion of Interference Fringes and the Resulting Vortex Production of Merging Bose-Einstein Condensates
• Quantum tunneling of a vortex between two pinning potentials
• Dynamics of parametric matter wave amplification
• Quantum-field dynamics of expanding and contracting Bose-Einstein condensates
• Incoherence of Bose-Einstein condensates at supersonic speeds due to quantum noise
• Simulation of complete many-body quantum dynamics using controlled quantum-semiclassical hybrids
• Number-Phase Wigner Representation for Efficient Stochastic Simulations
• Anisotropic collisions of dipolar Bose-Einstein condensates in the universal regime
• Dynamics of two-component Bose-Einstein condensates in rotating traps
• Collisional decay of a strongly driven Bose-Einstein condensate
• Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensate
• Turbulent relaxation after a quench in the Heisenberg model
• Transverse instability and universal decay of spin spiral order in the Heisenberg model
• Thermalization, condensate growth, and defect formation in an out-of-equilibrium Bose gas
• Non-equilibrium dynamics: Studies of reflection of Bose-Einstein condensates
• Multimode quantum limits to the linewidth of an atom laser
• Phase-space representations of thermal Bose-Einstein condensates
• Intensity of parametric fluorescence pumped by ultrashort pulses
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Initial states and apodisation for quantum field simulations in phase-space
• Collisions of solitary waves in condensates beyond mean-field theory
• Mean field effects on the scattered atoms in condensate collisions
• Two-stream instability in quasi-one-dimensional Bose-Einstein condensates
• Pair correlation of atoms scattered from colliding Bose-Einstein quasicondensates
• On the survival of the quantum depletion of a condensate after release from a magnetic trap
• Multimode Spontaneous Parametric Down-Conversion in the Lossy Medium
• Self-organized cavity bosons beyond the adiabatic elimination approximation
• Quantum many-body simulations using Gaussian phase-space representations
• Raman scattering of atoms from a quasi-condensate in a perturbative regime
• From a nonlinear string to a weakly interacting Bose gas
• Simulating quantum transport for a quasi-one-dimensional Bose gas in an optical lattice: the choice of fluctuation modes in the truncated Wigner approximation
• Hyper-entangling mesoscopic bound states
• Properties of atomic pairs produced in the collision of Bose-Einstein condensates
• Influence of quantum fluctuations on the superfluid critical velocity of a one-dimensional Bose gas
• Effective Field Theory for Atom-Molecule Systems I: Formulation of Effective Field Theory