Dissipative dynamics of a harmonically confined Bose-Einstein condensate
Z. Wu, E. Zaremba
TL;DR
This paper investigates how disorder affects the damping of center-of-mass oscillations in a harmonically confined Bose-Einstein condensate, providing a rigorous formula for the damping rate under weak disorder conditions.
Contribution
It introduces an extended framework based on the Generalized Harmonic Theorem to analyze dissipative dynamics in disordered Bose-Einstein condensates.
Findings
Derived a rigorous expression for the damping rate in weak disorder limit
Extended the Generalized Harmonic Theorem to oscillating disorder potentials
Provided insights into the dissipative behavior of confined condensates
Abstract
We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point of view of an oscillating disorder potential. This formulation leads to a rigorous result for the damping rate in the limit of weak disorder.
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