Disentangling dynamical phase transitions from equilibrium phase transitions

被引:177
作者
Vajna, Szabolcs [1 ]
Dora, Balazs
机构
[1] Budapest Univ Technol & Econ, Dept Phys, H-1521 Budapest, Hungary
来源
PHYSICAL REVIEW B | 2014年 / 89卷 / 16期
关键词
QUANTUM; RELAXATION; MECHANICS; THEOREM; GASES;
D O I
10.1103/PhysRevB.89.161105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Dynamical phase transitions (DPTs) occur after quenching some global parameters in quantum systems, and are signalled by the nonanalytical time evolution of the dynamical free energy, which is calculated from the Loschmidt overlap between the initial and time evolved states. In a recent Letter [M. Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)], it was suggested that DPTs are closely related to equilibrium phase transitions (EPTs) for the transverse field Ising model. By studying a minimal model, the XY chain in a transverse magnetic field, we show analytically that this connection does not hold generally. We present examples where DPT occurs without crossing any equilibrium critical lines by the quench, and a nontrivial example with no DPT but crossing a critical line by the quench. Although the nonanalyticities of the dynamical free energy on the real time axis do not indicate the presence or absence of an EPT, the structure of Fisher lines for complex times reveals a qualitative difference.
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页数:5
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