Non-diffusive phase spreading of a Bose-Einstein condensate at finite temperature

Abstract

We show that the phase of a condensate in a finite temperature gas spreads linearly in time at long times rather than in a diffusive way. This result is supported by classical field simulations, and analytical calculations which are generalized to the quantum case under the assumption of quantum ergodicity in the system. This super-diffusive behavior is intimately related to conservation of energy during the free evolution of the system and to fluctuations of energy in the prepared initial state.

16 pages, 7 figures

References in corpus (3)

• Matter-wave interferometry in a double well on an atom chip
• Extension of Bogoliubov theory to quasi-condensates
• Probing the classical field approximation - thermodynamics and decaying vortices

Cited by in corpus (2)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Internal structure of a quantum soliton and classical excitations due to trap opening