典型文献
Dynamical quantum phase transition in XY chains with the Dzyaloshinskii-Moriya and XZY-YZX three-site interactions
文献摘要：
We study the dynamical quantum phase transitions(DQPTs)in the XY chains with the Dzyaloshinskii-Moriya in-teraction and the XZY-YZX type of three-site interaction after a sudden quench.Both the models can be mapped to the spinless free fermion models by the Jordan-Wigner and Bogoliubov transformations with the form H=∑kεk(ηk?ηk-1/2),where the quasiparticle excitation spectra εk may be smaller than 0 for some k and are asymmetrical(εk ≠ ε-k).It is found that the factors of Loschmidt echo equal 1 for some k corresponding to the quasiparticle excitation spectra of the pre-quench Hamiltonian satisfying εk·ε-k＜0,when the quench is from the gapless phase.By considering the quench from different ground states,we obtain the conditions for the occurrence of DQPTs for the general XY chains with gapless phase,and find that the DQPTs may not occur in the quench across the quantum phase transitions regardless of whether the quench is from the gapless phase to gapped phase or from the gapped phase to gapless phase.This is different from the DQPTs in the case of quench from the gapped phase to gapped phase,in which the DQPTs will always appear.Moreover,we analyze the different reasons for the absence of DQPTs in the quench from the gapless phase and the gapped phase.The conclusion can also be extended to the general quantum spin chains.
文献关键词：
中图分类号：
作者姓名：
Kaiyuan Cao;Ming Zhong;Peiqing Tong
作者机构：
Department of Physics and Institute of Theoretical Physics,Nanjing Normal University,Nanjing 210023,China;Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems,Nanjing Normal University,Nanjing 210023,China
文献出处：
引用格式：
[1]Kaiyuan Cao;Ming Zhong;Peiqing Tong-.Dynamical quantum phase transition in XY chains with the Dzyaloshinskii-Moriya and XZY-YZX three-site interactions)[J].中国物理B（英文版）,2022(06):292-298
A类：
XZY,YZX,DQPTs,quasiparticle,Loschmidt
B类：
Dynamical,quantum,phase,XY,chains,Dzyaloshinskii,Moriya,three,site,interactions,We,study,dynamical,transitions,type,after,sudden,quench,Both,models,can,be,mapped,spinless,free,fermion,by,Jordan,Wigner,Bogoliubov,transformations,where,excitation,spectra,may,smaller,than,some,are,asymmetrical,It,found,that,factors,echo,equal,corresponding,pre,Hamiltonian,satisfying,when,from,gapless,By,considering,different,ground,states,we,obtain,conditions,occurrence,general,find,not,across,regardless,whether,gapped,This,case,which,will,always,appear,Moreover,analyze,reasons,absence,conclusion,also,extended
AB值：
0.386282
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