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Intermittency and dynamical Lee-Yang zeros of open quantum systems.

James M Hickey1, Christian Flindt2, Juan P Garrahan1

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High-order cumulants reveal phase transitions in open quantum systems by analyzing dynamical free energies. This study identifies critical points linked to intermittency and phase coexistence in quantum trajectories.

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Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Complex systems

Background:

  • Open quantum systems exhibit complex dynamics, including phase transitions.
  • Dynamical observables in these systems can display large-deviation behavior at long times.

Purpose of the Study:

  • Investigate phase transitions in open quantum systems using Lee-Yang zeros.
  • Analyze the behavior of dynamical free energies and their singularities.
  • Understand dynamical intermittency and phase coexistence in quantum trajectories.

Main Methods:

  • Utilized high-order cumulants to study Lee-Yang zeros of generating functions.
  • Analyzed the long-time large-deviation form of generating functions.
  • Examined driven three-level systems and the dissipative Ising model.
  • Investigated short-time behavior of dynamical Lee-Yang zeros.

Main Results:

  • Identified singularities in cumulant generating functions as phase transitions in dynamical trajectory ensembles.
  • Observed dynamical intermittency in quantum jump statistics for both models.
  • Determined critical counting field values associated with intermittency and phase coexistence.
  • Constructed a trajectory phase diagram for the dissipative Ising model.

Conclusions:

  • Dynamical free energy singularities signal phase transitions in open quantum systems.
  • Short-time analysis of Lee-Yang zeros provides insights into critical phenomena.
  • The dissipative Ising model transitions from ferromagnetic to paramagnetic states at a specific transverse field value.