Hysteresis effects in Bose-Einstein condensates

TL;DR

This paper investigates hysteresis phenomena in damped two-component Bose-Einstein condensates with time-modulated nonlinear interactions and double-well trapping potentials, highlighting the role of bifurcations and damping.

Contribution

It introduces the occurrence of hysteresis effects in Bose-Einstein condensates due to combined bifurcation and damping mechanisms under time-dependent nonlinear coupling.

Findings

Hysteresis effects can emerge in two-component BECs with double-well traps.

Bifurcation and damping jointly contribute to hysteresis phenomena.

Hysteresis depends on the modulation of nonlinear coupling factors.

Abstract

Here, we consider damped two-components Bose-Einstein condensates with many-body interactions. We show that, when the external trapping potential has a double-well shape and when the nonlinear coupling factors are modulated in time, hysteresis effects may appear under some circumstances. Such hysteresis phenomena are a result of the joint contribution between the appearance of saddle node bifurcations and damping effect.