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Chaotic Dynamical Ferromagnetic Phase Induced by Nonequilibrium Quantum Fluctuations
Alessio Lerose1,2, Jamir Marino3, Bojan Žunkovič4
1SISSA-International School for Advanced Studies, via Bonomea 265, I-34136 Trieste, Italy.
Physical Review Letters
|April 26, 2018
Summary
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.
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.
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