One-dimensional Bose gas dynamics: breather relaxation

Abstract

One-dimensional Bose gases are a useful testing-ground for quantum dynamics in many-body theory. They allow experimental tests of many-body theory predictions in an exponentially complex quantum system. Here we calculate the dynamics of a higher-order soliton in the mesoscopic case of $N=10^3-10^4$ particles, giving predictions for quantum soliton breather relaxation. These quantum predictions use a truncated Wigner approximation, which is a $1/N$ expansion, in a regime where other exactly known predictions are recovered to high accuracy. Such dynamical calculations are testable in forthcoming BEC experiments.

References in corpus (23)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Formation and Propagation of Matter Wave Soliton Trains
• Formation of a Matter-Wave Bright Soliton
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Experimental Observation of a Generalized Gibbs Ensemble
• Dynamical quantum noise in Bose-Einstein condensates
• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• Collisions of matter-wave solitons
• Stability and phase coherence of trapped 1D Bose gases
• Pair correlations in a finite-temperature 1D Bose gas
• Formation of matter-wave soliton trains by modulational instability
• A Bright Solitonic Matter-Wave Interferometer
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Observation of a Modulational Instability in Bose-Einstein condensates
• Correlations in a BEC collision: First-principles quantum dynamics with 150 000 atoms
• Efficient polarization squeezing in optical fibers
• Simulations and Experiments on Polarisation Squeezing in Optical Fibre
• Many-body quantum dynamics of polarisation squeezing in optical fibre
• Functional Wigner representation of BEC quantum dynamics
• Center-of-mass motion as a sensitive convergence test for variational multi-mode quantum dynamics
• Quantum limits to center-of-mass measurements
• Higher-order quantum bright solitons in Bose-Einstein condensates show truly quantum emergent behavior

Cited by in corpus (10)

• Roadmap on Atomtronics: State of the art and perspective
• Creation and Characterization of Matter-Wave Breathers
• The fate of the false vacuum: Finite temperature, entropy and topological phase in quantum simulations of the early universe
• Dissociation of one-dimensional matter-wave breathers due to quantum many-body effects
• Quantum fluctuations of the center-of-mass and relative parameters of NLS breathers
• Nonlocal pair correlations in a higher-order Bose gas soliton
• Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance
• Dynamics of nonlinear-Schroedinger breathers in a potential trap
• Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
• Measurement of one-dimensional matter-wave quantum breather