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

Autor: Yue, Mingxi, Yang, Xiaoqin, Cai, Zi
Rok vydání: 2021
Předmět:
Zdroj: Phys Rev B.105, L100303 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.105.L100303
Popis: 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.
Databáze: arXiv