Symmetry-breaking thermally induced collapse of dipolar Bose-Einstein condensates

TL;DR

This paper explores how thermal excitations cause symmetry-breaking collapse in dipolar Bose-Einstein condensates, revealing bifurcations and decay rates influenced by trap geometry and long-range interactions.

Contribution

It introduces a variational framework to analyze unstable excited states and predicts symmetry-breaking collapse due to bifurcations in the transition state.

Findings

Bifurcation leads to symmetry-breaking excited states.

Collapse depends on trap geometry.

Thermal decay rates are calculated near bifurcation points.

Abstract

We investigate a Bose-Einstein condensate with additional long-range dipolar interaction in a cylindrically symmetric trap within a variational framework. Compared to the ground state of this system, little attention has as yet been payed to its unstable excited states. For thermal excitations, however, the latter is of great interest, because it forms the "activated complex" that mediates the collapse of the condensate. For a certain value of the s-wave scatting length our investigations reveal a bifurcation in the transition state, leading to the emergence of two additional and symmetry-breaking excited states. Because these are of lower energy than their symmetric counterpart, we predict the occurrence of a symmetry-breaking thermally induced collapse of dipolar condensates. We show that its occurrence crucially depends on the trap geometry and calculate the thermal decay rates of the system within leading order transition state theory with the help of a uniform rate formula near the rank-2 saddle which allows to smoothly pass the bifurcation.