Stochastic longevity of a dark soliton in a finite-temperature Bose-Einstein condensate
arXiv:1104.2691
Abstract
We study the decay of a dark soliton in a homogeneous Bose-Einstein condensate. We give an analytical treatment of a decaying soliton, deriving an expression for the soliton velocity and decay time in the absence of thermal noise. We test the result against numerical simulations of a spatially confined system and find good agreement in the regime of low temperature (). Thermal fluctuations are found to slow the escape of the soliton, extending its lifetime beyond the predictions of the noise-free theory; the effect becomes significant at a characteristic temperature . This stabilization by noise allows us to infer an analytical lower bound for the dark soliton decay time.
arXiv comment13 pages, 7 figures
References in corpus (33)
- Formation and Propagation of Matter Wave Soliton Trains
- Dark Solitons in Bose-Einstein Condensates
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Vortices in a trapped dilute Bose-Einstein condensate
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Observation of Quantum Shock Waves Created with Ultra Compressed Slow Light Pulses in a Bose-Einstein Condensate
- Motion of dark solitons in trapped Bose-Einstein condensates
- Experimental observation of oscillating and interacting matter wave dark solitons
- Dynamics of dark solitons in elongated Bose-Einstein condensates
- Landau dynamics of a grey soliton in a trapped condensate
- Time-averaged adiabatic ring potential for ultracold atoms
- A large magnetic storage ring for Bose-Einstein condensates
- Dissipative dynamics of a kink state in a Bose-condensed gas
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
- Decay of a quantum vortex: test of non-equilibrium theories for warm Bose-Einstein condensates
- Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices
- Dark soliton dynamics in Bose-Einstein condensates at finite temperature
- Quantum and thermal effects in dark soliton formation and dynamics in a 1D Bose gas
- Matter-wave dark solitons: stochastic vs. analytical results
- Versatile two-dimensional potentials for ultra-cold atoms
- Stability of stationary states in the cubic nonlinear Schroedinger equation: applications to the Bose-Einstein condensate
- Quantum Dark Soliton: Non-Perturbative Diffusion of Phase and Position
- Quantum Many-Body Dynamics of Dark Solitons in Optical Lattices
- Dark solitons as quasiparticles in trapped condensates
- Quasi-condensate growth on an atom chip
- Parametric Driving of Dark Solitons in Atomic Bose-Einstein Condensates
- Properties of the stochastic Gross-Pitaevskii equation: Projected Ehrenfest relations and the optimal plane wave basis
- Nonequilibrium quantum dynamics of atomic dark solitons
- Propagation of a Dark Soliton in a Disordered Bose-Einstein Condensate
- Images of a Bose-Einstein condensate: diagonal dynamical Bogoliubov vacuum
- Comment on "Quantum entangled dark solitons formed by ultracold atoms in optical lattices"