Space-time renormalization in phase transition dynamics
arXiv:1510.06132 · doi:10.1103/PhysRevB.93.075134
Abstract
When a system is driven across a quantum critical point at a constant rate its evolution must become non-adiabatic as the relaxation time 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 set at the time 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.
arXiv comment15 pages, 11 figures; 1 figure added, version accepted in Phys. Rev. B
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