19
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Space-time renormalization in phase transition dynamics

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          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 \(\tau\) 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 \(\hat\xi\) set at the time \(\hat t=\hat \tau\) 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.

          Related collections

          Author and article information

          Journal
          2015-10-21
          2016-01-19
          Article
          10.1103/PhysRevB.93.075134
          1510.06132
          57b56631-e507-4537-ada8-b605ad256bb2

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Phys. Rev. B 93, 075134 (2016)
          15 pages, 11 figures; 1 figure added, version accepted in Phys. Rev. B
          cond-mat.stat-mech cond-mat.mes-hall cond-mat.quant-gas hep-th quant-ph

          Condensed matter,Quantum physics & Field theory,Quantum gases & Cold atoms,High energy & Particle physics,Nanophysics

          Comments

          Comment on this article