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Bibliographic Details
Main Author: Moriya, Hajime
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2201.06051
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Table of Contents:
  • This review informs that the impossibility of genuine quantum time crystals has been known in the C*-algebraic quantum statistical mechanics since 1970s. The KMS condition implies that spontaneous breakdown of time-translation symmetry is impossible in general quantum systems. In particular, any non-trivial order, such as periodic, quasi-periodic, and chaotic order cannot exist in the time direction of equilibrium states, meaning that genuine quantum time crystals are excluded from the outset.