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Dynamical Topological Quantum Phase Transitions in Nonintegrable Models.

I Hagymási1,2,3, C Hubig4, Ö Legeza3

  • 1Department of Physics, Arnold Sommerfeld Center for Theoretical Physics (ASC), Fakultät für Physik, Ludwig-Maximilians-Universität München, D-80333 München, Germany.

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|July 27, 2019
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Summary
This summary is machine-generated.

Sudden quantum quenches can trigger dynamical phase transitions in the S=1 XXZ model. These transitions, marked by nonanalyticities in return probability, correlate with string order parameter behavior and enhanced entanglement.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Quantum Phase Transitions

Background:

  • The S=1 XXZ model exhibits a Haldane phase, a unique quantum disordered state.
  • Quantum phase transitions (QPTs) are fundamental to understanding many-body systems.
  • Sudden quenches perturb systems, driving them out of equilibrium.

Purpose of the Study:

  • Investigate dynamical phase transitions (DPTs) in the S=1 XXZ model after quantum quenches.
  • Analyze the relationship between quench dynamics and the emergence of DPTs.
  • Explore the role of order parameters and entanglement in these non-equilibrium phenomena.

Main Methods:

  • Simulating the S=1 XXZ model under sudden quenches from the Haldane phase.
  • Analyzing nonanalyticities in the return probability's rate function to identify DPTs.
  • Calculating the temporal evolution of the string order parameter.
  • Quantifying two-site entanglement during the quench dynamics.

Main Results:

  • Dynamical phase transitions were observed during quenches across QPTs.
  • Nonanalyticities in the return probability's rate function signal these DPTs.
  • The string order parameter's temporal behavior is closely linked to the occurrence of DPTs.
  • Enhanced two-site entanglement was found to accompany the DPTs.

Conclusions:

  • Sudden quenches can induce DPTs in the S=1 XXZ model, distinct from equilibrium QPTs.
  • The string order parameter serves as a crucial indicator for these non-equilibrium transitions.
  • Entanglement dynamics provide further insight into the nature and detection of DPTs.