Space and time renormalization in phase transition dynamics

Article

关键词: SPONTANEOUS SYMMETRY-BREAKING;    BOSE-EINSTEIN CONDENSATE;    TOPOLOGICAL DEFECTS;    STRING FORMATION;    COSMOLOGICAL EXPERIMENTS;    VORTEX FORMATION;    SUPERFLUID HE-3;    LIQUID-CRYSTALS;    QUANTUM;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.93.075134

来源: SCIE

【 摘 要 】

When a system is driven across a quantum critical point at a constant rate, its evolution must become nonadiabatic as the relaxation time tau diverges at the critical point. According to the Kibble-Zurek mechanism (KZM), the emerging post-transition excited state is characterized by a finite correlation length xi set at the time (t) over cap = (tau) over cap t when the critical slowing down makes it impossible for the system to relax to the equilibrium defined by changing parameters. This observation naturally suggests a dynamical scaling similar to renormalization familiar from the equilibrium critical phenomena. We provide evidence for such KZM-inspired spatiotemporal scaling by investigating an exact solution of the transverse field quantum Ising chain in the thermodynamic limit.

【 授权许可】

Free