Quantum-coherence-assisted dynamical phase transition in the one-dimensional transverse-field Ising model  

作　　者：Bao-Ming Xu 徐宝明(Shandong Key Laboratory of Biophysics,Institute of Biophysics,Dezhou University,Dezhou 253023,China)

机构地区：[1]Shandong Key Laboratory of Biophysics,Institute of Biophysics,Dezhou University,Dezhou 253023,China

出　　处：《Communications in Theoretical Physics》2024年第12期73-82,共10页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11705099);the Talent Introduction Project of Dezhou University of China (Grant Nos. 2020xjpy03 and 2019xgrc38)。

摘　　要：Quantum coherence will undoubtedly play a fundamental role in understanding the dynamics of quantum many-body systems;therefore, to be able to reveal its genuine contribution is of great importance. In this paper, we focus our discussions on the one-dimensional transverse field quantum Ising model initialized in the coherent Gibbs state, and investigate the effects of quantum coherence on dynamical quantum phase transition(DQPT). After quenching the strength of the transverse field, the effects of quantum coherence are studied using Fisher zeros and the rate function of the Loschmidt echo. We find that quantum coherence not only recovers DQPT destroyed by thermal fluctuations, but also generates some entirely new DQPTs, which are independent of the equilibrium quantum critical point. We also find that the Fisher zero cutting the imaginary axis is not sufficient to generate DQPT because it also requires the Fisher zeros to be tightly bound close enough to the neighborhood of the imaginary axis. It can be manifested that DQPTs are rooted in quantum fluctuations. This work reveals new information on the fundamental connection between quantum critical phenomena and quantum coherence.

关 键 词：dynamical quantum phase transition quantum coherence Fisher zero winding number 

分 类 号：O413[理学—理论物理]