arXiv subjects

Romain Duboscq

Publications and source records attributed to Romain Duboscq.

21 records · Page 2Linked to original sources

arXiv2017

Restoring quasi-reversibility with a single topological charge

We numerically study a rotating Bose-Einstein condensate placed transiently over the critical rotation frequency i.e. in a regime where the rotation frequency is larger than the radial frequency of the confinement. We study the reversibility of this process depending on the strength of the interactions and the presence of vortices. We find that the reversibility is broken by the interactions in the absence of vortices but systematically quasi-restored in the presence of a single vortex.

cond-mat.quant-gas↗

arXiv2015

Stochastic regularization effects of semi-martingales on random functions

In this paper we address an open question formulated in [17]. That is, we extend the It{ô}-Tanaka trick, which links the time-average of a deterministic function f depending on a stochastic process X and F the solution of the Fokker-Planck equation associated to X, to random mappings f. To this end we provide new results on a class of adpated and non-adapted Fokker-Planck SPDEs and BSPDEs.

math.PR↗

arXiv2015

Vortex Dynamics of Rotating Bose-Einstein Condensate of Microcavity Polaritons

In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve the complex Gross-Pitaevskii equation is developed. Using this method, we investigate how the behavior of the number of vortices formed inside the condensate changes as the various system parameters are varied. In contrast to the atomic condensates, we show, there exists an (experimentally realizable) range of parameter values in which all the vortices can be made to vanish even when there is a high rotation. We further explore how this region can be tuned through other free parameters and also discuss how this study can help to realize the synthetic magnetic field for polaritons and hence paving the way for the realization of the quantum Hall physics and many other exotic phenomena.

cond-mat.quant-gas↗