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