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arXiv · 2110.15506

Thermal melting of discrete time crystals: a dynamical phase transition induced by thermal fluctuations

Mingxi Yue·Xiaoqin Yang·Zi Cai
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Abstract

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of which couples to a thermal bath. It is shown that in the thermodynamic limit, even though the long-range temporary crystalline order is stable at low temperature, it is melting above a critical temperature, at which the system experiences a non-equilibrium phase transition. The critical behaviors of the continuous phase transition have been systematically investigated, and it is shown that despite the genuine non-equilibrium feature of such a periodically driven system, its critical properties fall into the 3D Ising universality class with a dynamical exponent ($z=2$) identical to that in the critical dynamics of kinetic Ising model without driving.

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Mingxi Yue, Xiaoqin Yang, Zi Cai. 2021-10-29. Thermal melting of discrete time crystals: a dynamical phase transition induced by thermal fluctuations. https://doi.org/10.1103/physrevb.105.l100303

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