Classical and quantum time crystals in a levitated nanoparticle without drive

• URL: http://arxiv.org/abs/2001.10187v3
• Date: Wed, 22 Jul 2020 05:39:23 GMT
• Title: Classical and quantum time crystals in a levitated nanoparticle without drive
• Authors: Yi Huang, Qihao Guo, Anda Xiong, Tongcang Li, Zhang-qi Yin
• Abstract summary: We propose a time crystal model based on a levitated charged nanoparticles 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. For the first time, the emphtime polycrystal is defined and naturally appears in this model.
• Score: 2.9378495394295028
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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