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Predicting Topological Quantum Phase Transition via Multipartite Entanglement from Dynamics

Leela Ganesh Chandra LakkarajuSudip Kumar HaldarAditi Sen De
Dec 2022
摘要
An exactly solvable Kitaev model in a two-dimensional square lattice exhibitsa topological quantum phase transition which is different from thesymmetry-breaking transition at zero temperature. When the ground state of anon-linearly perturbed Kitaev model with different strengths of perturbationtaken as the initial state is quenched to a pure Kitaev model, we demonstratethat various features of the dynamical state, such as Loschmidt echo,time-averaged multipartite entanglement, can determine whether the initialstate belongs to the topological phase or not. Moreover, the derivatives of thequantifiers can faithfully identify the topological quantum phase transition,present in equilibrium. When the individual qubits of the lattice interact withthe local thermal bath repeatedly, we observe that block entanglement cannevertheless distinguish the phases from which the system starts evolution.
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