Dynamical scaling of Loschmidt echo in non-Hermitian systems

• URL: http://arxiv.org/abs/2105.05696v2
• Date: Thu, 12 Jan 2023 11:39:44 GMT
• Title: Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Authors: Jia-Chen Tang and Su-Peng Kou and Gaoyong Sun
• Abstract summary: We show that non-Hermitian biorthogonal many-body phase transitions can be characterized by the enhanced decay of Loschmidt echo. Our studies show how to detect equilibrium many-body phase transitions with biorthogonal Loschmidt echo that can be observed in future experiments via quantum dynamics after a quench.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that non-Hermitian biorthogonal many-body phase transitions can be characterized by the enhanced decay of Loschmidt echo. The quantum criticality is numerically investigated in a non-Hermitian transverse field Ising model by performing the finite-size dynamical scaling of Loschmidt echo. We determine the equilibrium correlation length critical exponents that are consistent with previous results from the exact diagonalization. More importantly, we introduce a simple method to detect quantum phase transitions with the short-time average of rate function motivated by the critically enhanced decay behavior of Loschmidt echo. Our studies show how to detect equilibrium many-body phase transitions with biorthogonal Loschmidt echo that can be observed in future experiments via quantum dynamics after a quench.

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