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Classical and quantum time crystals in a levitated nanoparticle without drive

Quantum Physics 2020-08-27 v3

Abstract

Time crystal is defined as a phase of matter spontaneously exhibiting a periodicity in time. Previous studies focused on discrete quantum time crystals under periodic drive. Here, we propose a time crystal model based on a levitated charged nanoparticle in a static magnetic field without drive. Both the classical time crystal in thermal equilibrium and the quantum time crystal in the ground state can emerge in the spin rotational mode, under the strong magnetic field or the large charge-to-mass ratio limit. Besides, for the first time, the \emph{time polycrystal} is defined and naturally appears in this model. Our model paves a way for realizing time crystals in thermal equilibrium.

Keywords

Cite

@article{arxiv.2001.10187,
  title  = {Classical and quantum time crystals in a levitated nanoparticle without drive},
  author = {Yi Huang and Qihao Guo and Anda Xiong and Tongcang Li and Zhang-qi Yin},
  journal= {arXiv preprint arXiv:2001.10187},
  year   = {2020}
}

Comments

10 pages, 7 figures

R2 v1 2026-06-23T13:22:34.832Z