Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving

• URL: http://arxiv.org/abs/2403.08476v2
• Date: Fri, 5 Jul 2024 16:52:48 GMT
• Title: Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
• Authors: Shu Yang, Zeqing Wang, Libin Fu, Jianwen Jie,
• Abstract summary: Time crystal, a nonequilibrium phenomenon extending spontaneous symmetry breaking into the temporal dimension, holds fundamental significance in quantum many-body physics. We numerically identify the emergence of novel nonstationary oscillatory states by analyzing the spin dynamics. This study provides many insights into the intricate interplay between the dissipation-induced spin downwards and anisotropic-interaction-induced spin precession or spin fluctuation.
• Score: 1.641189223782504
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Time crystal, a nonequilibrium phenomenon extending spontaneous symmetry breaking into the temporal dimension, holds fundamental significance in understanding quantum many-body physics. In this work, we explore the nonequilibrium phase diagram of a two-dimensional dissipative Heisenberg spin system without explicit coherent or incoherent external driving. We numerically identify the emergence of novel nonstationary oscillatory states by analyzing the spin dynamics. These states are categorized as limit cycle and chaos based on the Lyapunov exponent. Remarkably, the observed limit cycle behavior represents a continuous time crystal (CTC), spontaneously breaking the continuous time translation symmetry of the system. We further confirm those oscillatory behaviors by studying the stability against local perturbations applied to the system. Finally, we investigate the robustness of the emergent CTC by introducing isotropic Gaussian-type white noise into the interactions. This study provides many insights into the intricate interplay between the dissipation-induced spin downwards and anisotropic-interaction-induced spin precession or spin fluctuation, opening a new avenue for realizing dissipation-induced, heating-immune TCs.

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