Quantum and thermal effects in dark soliton formation and dynamics in a 1D Bose gas

Abstract

We numerically study the imprinting and dynamics of dark solitons in a bosonic atomic gas in a tightly-confined one-dimensional harmonic trap both with and without an optical lattice. Quantum and thermal fluctuations are synthesized within the truncated Wigner approximation in the quasi-condensate description. We track the soliton coordinates and calculate position and velocity uncertainties. We find that the phase fluctuations {\em lower} the classically predicted soliton speed and seed instabilities. Individual runs show interactions of solitons with sound waves, splitting and disappearing solitons.

4 pages, 3 figures; modified in response to referees' comments

References in corpus (9)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Extension of Bogoliubov theory to quasi-condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Phase diagram for a Bose-Einstein condensate moving in an optical lattice
• Dark soliton dynamics in Bose-Einstein condensates at finite temperature
• Matter-wave dark solitons: stochastic vs. analytical results
• Quantum Many-Body Dynamics of Dark Solitons in Optical Lattices
• Quantum fluctuations in the image of a Bose gas

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