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On quantum time crystals and interacting gauge theories in atomic Bose-Einstein condensates

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arxiv 1812.04672 v2 pith:WOBVYGWH submitted 2018-12-11 cond-mat.quant-gas quant-ph

Patrik Öhberg , Ewan M. Wright This is my paper · ORCID
classification cond-mat.quant-gasquant-ph
keywords gaugebose-einsteinchiralcurrentinteractingnonlinearitysolitontime
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We study the dynamics of a Bose-Einstein condensate trapped circumferentially on a ring, and which is governed by an interacting gauge theory. We show that the associated density-dependent gauge potential and concomitant current nonlinearity permits a ground state in the form of a rotating chiral bright soliton. This chiral soliton is constrained to move in one direction by virtue of the current nonlinearity, and represents a time crystal in the same vein as Wilczek's original proposal.

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  1. Non-spreading matter-wave packets in a ring

    cond-mat.quant-gas 2019-08 reject novelty 2.0 of 10

    The claimed unique family of non-spreading ring wave packets, Eq. (11), is not a solution of the stated Schrödinger equation, and the uniqueness proof wrongly excludes zero-free rotating superpositions.

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