Dynamical phase transitions after quenches in nonintegrable models

By Christoph Karrasch, D. Schuricht. 2013

178 citations recorded by the source corpus.

We investigate the dynamics following sudden quenches across quantum critical points belonging to different universality classes. Specifically, we use matrix product state methods to study the quantum Ising chain in the presence of two additional terms which break integrability. We find that in all models the rate function for the return probability to the initial state becomes a nonanalytic function of time in the thermodynamic limit. This so-called “dynamical phase transition” was first observed in a recent work by Heyl, Polkovnikov, and Kehrein [Phys. Rev. Lett. 110, 135704 (2013)] for the exactly-solvable quantum Ising chain, which can be mapped to free fermions. Our results for “interacting theories” indicate that nonanalytic dynamics is a generic feature of sudden quenches across quantum critical points. We discuss potential connections to the dynamics of the order parameter.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/691f910188415753bdab931bc230e6042b437101

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In Atomic and Molecular Physics, and Optics

  1. N. Tsuji
  2. M. Kollar
  3. Martin Eckstein
  4. H. Aoki
  5. T. Oka
  6. Philipp Werner
  7. Michael J. Hartmann
  8. Luis E. F. Foa Torres

In Statistical and Nonlinear Physics

  1. M. Kollar
  2. Martin Eckstein

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