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Dynamics of a space-time crystal in an atomic Bose-Einstein condensate

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Abstract

A space-time crystal has recently been observed in a superfluid Bose gas. Here we construct a variational model that allows us to describe from first principles the coupling between the radial breathing mode and the higher-order axial modes that underlies the observation of the space-time crystal. By comparing with numerical simulations we verify the validity of our variational Ansatz. From the model we determine the requirements for the observation of the space-time crystal and the Ising-like nature of the symmetry breaking involved. Also, we find the onset and growth rate of the space-time crystal, which can be compared to experiments.

Original languageEnglish
Article number013625
Number of pages9
JournalPhysical Review A
Volume99
Issue number1
DOIs
Publication statusPublished - 29 Jan 2019

Funding

This work is supported by the Stichting voor Fundamenteel Onderzoek der Materie (FOM) and is part of the D-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). The work of L.L. is supported by the China Scholarship Council (CSC).

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