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Dynamical Topological Transitions in the Massive Schwinger Model with a θ Term.

T V Zache1, N Mueller2, J T Schneider1

  • 1Heidelberg University, Institut für Theoretische Physik, Philosophenweg 16, 69120 Heidelberg, Germany.

Physical Review Letters
|March 2, 2019
PubMed
Summary

We discovered dynamical quantum phase transitions in a model of CP violation. These topological transitions, observable in tabletop experiments, offer insights into real-time quantum phenomena.

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Area of Science:

  • Quantum Field Theory
  • Condensed Matter Physics
  • High-Energy Physics

Background:

  • Understanding non-equilibrium dynamics in gauge theories is crucial for explaining anomalous and topological effects.
  • The massive Schwinger model with a theta term serves as a prototype for studying CP violation.

Purpose of the Study:

  • To investigate the real-time dynamics of the massive Schwinger model with a theta term.
  • To identify and characterize dynamical quantum phase transitions and topological effects out of equilibrium.

Main Methods:

  • Studying the real-time dynamics of the massive Schwinger model under quenches of the theta parameter.
  • Developing and applying a general dynamical topological order parameter accessible via fermion two-point correlators.

Main Results:

  • Identified dynamical quantum phase transitions between topological sectors after strong quenches of the theta parameter.
  • Established a general dynamical topological order parameter applicable to interacting theories.
  • Demonstrated that topological transitions persist beyond the weak-coupling regime.

Conclusions:

  • The study provides a significant step towards quantum simulation of topological and anomalous real-time phenomena.
  • These effects are experimentally observable using current cold-atom, superconducting-qubit, and trapped-ion technologies.
  • The findings are relevant to nuclear and high-energy physics research.