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Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
Haoyu Guo1, Rohit Mukherjee1, Debanjan Chowdhury1
1Cornell University, Department of Physics, Ithaca, New York 14853, USA.
Physical Review Letters
|June 23, 2025
Summary
Strongly interacting quantum systems with a Floquet drive can exhibit emergent conservation laws. This study shows universal freezing behavior in a solvable model, demonstrating long-lived coherence and approximate emergent conservation laws.
Area of Science:
- Quantum physics
- Condensed matter theory
- Statistical mechanics
Background:
- Generic interacting models' late-time behavior is governed by hydrodynamic equations of conserved quantities.
- Nonintegrable systems typically thermalize to infinite-temperature states under external drives.
- Floquet drives can induce emergent conservation laws in strongly interacting systems.
Purpose of the Study:
- Investigate dynamically generated freezing in a solvable model of coupled quantum dots.
- Analyze the emergence of approximate conservation laws under a Floquet drive.
- Characterize the long-time behavior of interacting quantum systems.
Main Methods:
- Exact diagonalization of a solvable model of two coupled chaotic quantum dots.
- Field-theoretic analysis in the limit of many electronic orbitals.
- Computation of many-body chaos and entanglement entropy growth.
Main Results:
- The model exhibits universal freezing behavior, independent of disorder averaging.
- Long-lived coherence is observed in interacting degrees of freedom at dynamically frozen points.
- A slow timescale controlling relaxation from freezing was computed via high-frequency expansion.
Conclusions:
- Dynamically generated freezing represents a stable, long-lived state in strongly interacting systems under Floquet drives.
- Emergent conservation laws can arise even in the presence of interactions and disorder.
- The findings provide insights into non-equilibrium quantum dynamics and potential pathways to control quantum states.
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