Dynamical Quantum Phase Transition and Thermal Equilibrium in the Lattice Thirring Model

• URL: http://arxiv.org/abs/2407.11295v1
• Date: Tue, 16 Jul 2024 00:51:01 GMT
• Title: Dynamical Quantum Phase Transition and Thermal Equilibrium in the Lattice Thirring Model
• Authors: Mari Carmen Bañuls, Krzysztof Cichy, Hao-Ti Hung, Ying-Jer Kao, C. -J. David Lin, Amit Singh,
• Abstract summary: We simulate the evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases. We identify a threshold in the energy density of the initial state, necessary for a dynamical quantum phase transition to be present.
• Score: 2.1677452722087884
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 non-analyticities in the Loschmidt rate. Whereas 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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