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Chaotic Dynamical Ferromagnetic Phase Induced by Nonequilibrium Quantum Fluctuations.

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Quantum fluctuations can destabilize dynamical phase transitions, turning critical points into chaotic phases sensitive to initial conditions. This finding applies to systems with broken discrete symmetry, impacting quantum dynamics research.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Statistical Mechanics

Background:

  • Dynamical phase transitions are crucial in understanding non-equilibrium quantum systems.
  • Quantum fluctuations can significantly alter the behavior of these transitions.
  • The quantum Ising model serves as a fundamental framework for studying magnetism and phase transitions.

Purpose of the Study:

  • To investigate the effect of quantum fluctuations on dynamical phase transitions.
  • To analyze the robustness of a dynamical critical point in a quantum system.
  • To explore the emergence of chaotic dynamics under varying quantum fluctuation strengths.

Main Methods:

  • Utilizing analytic time-dependent spin wave theory.
  • Employing numerical methods based on matrix product states (MPS).
  • Studying the fully connected quantum Ising model in one spatial dimension.

Main Results:

  • Increasing quantum fluctuations destabilizes the dynamical critical point.
  • A chaotic dynamical phase emerges, characterized by parameter and initial condition sensitivity.
  • The prethermal state dynamics are significantly impacted by quantum fluctuations.

Conclusions:

  • Dynamical phase transitions are susceptible to quantum fluctuations, leading to chaotic behavior.
  • The observed phenomenon is general for systems with broken discrete symmetries out of equilibrium.
  • Understanding these effects is key for predicting quantum system dynamics.