Spatiotemporal evolution of topological order upon quantum quench across the critical point

Minchul Lee, Seungju Han, Mahn-Soo Choi

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, in order to examine the connection between the topological order and the unpaired Majorana states, which has been well established at equilibrium but remains illusive in dynamical situations. It is found that after the quench the string order parameters decay over a finite time and that the decaying behavior is universal, independent of the wire length and the final value of the chemical potential (the quenching parameter). It is also found that the topological order is revived repeatedly although the amplitude gradually decreases. Further, the topological order can propagate into the region which was initially in the nontopological state. It is observed that all these behaviors are in parallel and consistent with the propagation and dispersion of the Majorana wave functions. Finally, we propose local probing methods which can measure the nonlocal topological order.

Original languageEnglish
Article number063004
JournalNew Journal of Physics
Volume18
Issue number6
DOIs
Publication statusPublished - 2016 Jun 1

    Fingerprint

Keywords

  • Majorana Fermion
  • quantum quenching
  • string order parameter
  • topological order
  • topological phase transition
  • topological superconductor

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this