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Modeling spontaneous breaking of time-translation symmetry

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arxiv 1410.3638 v3 pith:Y74FEH6M submitted 2014-10-14 cond-mat.quant-gas cond-mat.dis-nnquant-ph

Krzysztof Sacha This is my paper · ORCID
classification cond-mat.quant-gascond-mat.dis-nnquant-ph
keywords breakingsymmetrytimespontaneousatomictranslationbouncingcloud
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We show that an ultra-cold atomic cloud bouncing on an oscillating mirror can reveal spontaneous breaking of a discrete time translation symmetry. In many-body simulations we illustrate the process of the symmetry breaking that can be induced by atomic losses or by a measurement of particle positions. The results pave the way for understanding and realization of the time crystal idea where crystalline structures form in the time domain due to spontaneous breaking of continuous time translation symmetry.

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    In spherically symmetric Einstein-scalar gravity with conformally invariant boundary conditions, the AdS Penrose inequality holds exactly when a positive mass theorem holds, ruling out neutral, non-rotating holographi...

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