Quench dynamics of disordered quadrupolar Bose-Einstein condensates

TL;DR

This paper explores how quenched interactions and disorder affect the equilibrium and nonequilibrium dynamics of three-dimensional disordered quadrupolar Bose-Einstein condensates, revealing enhanced depletion and oscillatory behavior.

Contribution

It introduces a systematic analysis of quench dynamics in disordered quadrupolar BECs using the Bogoliubov-Huang-Meng approximation, establishing validity criteria and uncovering new dynamical effects.

Findings

Disorder and quenched interactions modify static and dynamic properties.

Quantum depletion and condensate deformation increase in steady state.

Damped oscillations depend on disorder correlation length and quadrupolar interaction.

Abstract

We systematically investigate the equilibrium and the nonequilibrium quench dynamics of three-dimensional disordered quadrupolar Bose-Einstein condensates. Within the Bogoliubov-Huang-Meng approximation, we show that the combined effect of quenched interactions, disorder and excitations may modify the static as well as the dynamic properties of the system. The validity criterion of the developed approach is accurately established. By quenching the interaction strength, we reveal that the quantum depletion and the deformation condensate induced by disorder are enhanced in the asymptotic steady state compared to the corresponding equilibrium values. The time evolution of the condensate deformation is accompanied by damped oscillations with amplitudes strongly depend on the disorder correlation length and on the relative quadrupolar interaction.