Bose-Einstein condensate of kicked rotators

TL;DR

This paper proposes a method to realize a Bose-Einstein condensate of kicked rotators, analyzing their dynamics and conserved quantities, and comparing classical and quantum behaviors including chaos and irreversibility.

Contribution

It introduces a concrete experimental proposal and theoretical analysis for BEC of kicked rotators, highlighting their integrability and dynamical properties.

Findings

Existence of a Lax-pair indicating integrability.

Numerical evidence of effective irreversibility in dynamics.

Comparison of classical and quantum chaos behaviors.

Abstract

A concrete proposal for the realization of a Bose-Einstein condensate of kicked rotators is presented. Studying their dynamics via the one-dimensional Gross-Pitaevskii equation on a ring we point out the existence of a Lax-pair and an infinite countable set of conserved quantities. Under equal conditions we make numerical comparisons of the dynamics and their effective irreversibility in time, of ensembles of chaotic classical-, and BECs of interaction-free quantum-, and interacting quantum kicked rotators.