Universal short-time quantum critical dynamics in imaginary time

Article

关键词: MONTE-CARLO;    PHASE-TRANSITION;    RENORMALIZATION-GROUP;    CRITICAL RELAXATION;    CRITICAL EXPONENTS;    DEFECT FORMATION;    SPIN DYNAMICS;    MODEL;    ENTANGLEMENT;    SUPERFLUID;   

DOI  :  10.1103/PhysRevB.89.144115

来源: SCIE

【 摘 要 】

We propose a scaling theory for the universal imaginary-time quantum critical dynamics for both short and long times. We discover that there exists a universal critical initial slip related to a small initial order parameter M-0. In this stage, the order parameter M increases with the imaginary time tau as M alpha M(0)t(theta). with a universal initial-slip exponent theta. For the one-dimensional transverse-field Ising model, we estimate theta to be 0.373, which is markedly distinct from its classical counterpart. Apart from the local order parameter, we also show that the entanglement entropy exhibits universal behavior in the short-time region. As the critical exponents in the early stage and in equilibrium are identical, we apply the short-time dynamics method to determine quantum critical properties. The method is generally applicable in both the Landau-Ginzburg-Wilson paradigm and topological phase transitions.

【 授权许可】

Free