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Exceptional Stationary State in a Dephasing Many-Body Open Quantum System.

Alice Marché1, Gianluca Morettini1, Leonardo Mazza1,2

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This summary is machine-generated.

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.

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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.