Loschmidt Echo in the Time Crystal Phase of Disordered Spin Systems

ORAL

Abstract

Motivated by recent studies on systems exhibiting discrete time translational symmetry breaking (DTTSB) we investigate the Loschmidt echo for disordered spin systems with special focus on the transverse Ising model. Starting from the $Z_{2}$ symmetric limit we analytically obtain the time evolution for various short-ranged correlated initial states. Our results enable us to draw an intuitive picture for the emergence of DTTSB, from which we generalize our findings to systems with $Z_{n}$ symmetry breaking.

*Financial support by the Deutsche Forschungsgemeinschaft (DFG) through SFB/CRC1073, project B03, Research Group FOR1807, project P7, and by Studienstiftung des Deutschen Volkes e.V. is gratefully acknowledged.

Presenters

  • Sebastian Paeckel

    • Institute for Theoretical Physics, Univ Goettingen

Authors

  • Francisco Simão

    • Institute for Theoretical Physics, Univ Goettingen
  • Timo Mutas

    • Institute for Theoretical Physics, Univ Goettingen
  • Sebastian Paeckel

    • Institute for Theoretical Physics, Univ Goettingen
  • Markus Schmitt

    • Institute for Theoretical Physics, Univ Goettingen
  • Thomas Koehler

    • Institute for Theoretical Physics, Univ Goettingen
    • Institut für Theoretische Physik, Georg-August-Universität Göttingen
  • Salvatore Manmana

    • Institute for Theoretical Physics, Univ Goettingen
    • Institut für Theoretische Physik, Georg-August-Universität Göttingen