格点Thirring模型中的动力学量子相变与热平衡
Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model
AI总结：
本研究利用张量网络方法模拟格点Thirring模型非平衡淬火的实时演化，发现动力学量子相变虽不对应零温平衡相图临界线，但依赖于初始态能量密度阈值，且该阈值与有限温度相图区域转变相关。
摘要：
使用张量网络方法，我们模拟了在临界相和质量相中失去平衡的格点Thirring模型的实时演化，并研究了作为Loschmidt速率非解析性的动力学量子相变的出现。尽管模型中存在动力学量子相变并不对应于零温度平衡相图临界线上的淬火，但我们确定了初始状态能量密度的阈值，这是出现动力学量子相变所必需的。此外，在带隙淬火哈密顿量的情况下，我们揭示了该阈值与有限温度相图中不同区域之间转变的联系。
英文摘要：
Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as nonanalyticities in the Loschmidt rate. Although the presence of a dynamical quantum phase transition in the model does not correspond to quenches across the critical line of the equilibrium phase diagram at zero temperature, we identify a threshold in the energy density of the initial state, necessary for a dynamical quantum phase transition to be present. Moreover, in the case of the gapped quench Hamiltonian, we unveil a connection of this threshold to a transition between different regions in the finite-temperature phase diagram.
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