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Exceptional Stationary State in a Dephasing Many-Body Open Quantum System
Alice Marché1, Gianluca Morettini1, Leonardo Mazza1,2
1LPTMS, Université Paris-Saclay, CNRS, 91405, Orsay, France.
Physical Review Letters
|July 31, 2025
Summary
This study reveals an exceptional dark state in open quantum systems that preserves initial conditions, unlike the typical infinite-temperature state. This finding offers new insights into quantum many-body scars in open systems.
Area of Science:
- Quantum Mechanics
- Many-Body Physics
- Open Quantum Systems
Background:
- Open quantum systems often evolve towards a thermal equilibrium state, losing initial information.
- Non-equilibrium dynamics in quantum systems can lead to exotic stationary states.
Purpose of the Study:
- Investigate a dephasing many-body open quantum system with an additional stationary state.
- Characterize the properties of this exceptional dark state and its distinction from the infinite-temperature state.
- Explore the system's approach to stationarity and the behavior of interfaces between states.
Main Methods:
- Analysis of a dephasing many-body open quantum system.
- Development of a membrane-based model for effective large-scale theory.
- Investigation of timescales for reaching stationary properties and the Lindbladian gap.
Main Results:
- Identified a pure dark state associated with nonextensive strong symmetry, distinct from the infinite-temperature state.
- This dark state retains memory of the initial condition, unlike orthogonal states.
- Developed an effective large-scale theory without extensive conserved quantities, revealing slow stationarity despite a finite Lindbladian gap.
Conclusions:
- The exceptional stationary states in this open system framework exhibit properties consistent with quantum many-body scars.
- The system's dynamics challenge conventional hydrodynamic descriptions due to the absence of conserved quantities.
- These findings highlight the potential for memory retention in open quantum systems beyond thermalization.
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