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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
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Quantum trajectory phase transitions in the micromaser.

Juan P Garrahan1, Andrew D Armour, Igor Lesanovsky

  • 1School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2011
PubMed
Summary
This summary is machine-generated.

The study reveals that single-atom maser dynamics exhibit multiple space-time phase transitions, observable in quantum jump trajectories. These transitions, influenced by standard and nonequilibrium parameters, offer new insights into micromaser behavior.

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Area of Science:

  • Quantum Optics
  • Thermodynamics
  • Statistical Mechanics

Background:

  • The single-atom maser (or micromaser) is a fundamental quantum optical system.
  • Understanding its complex dynamics is crucial for quantum technologies.
  • Previous studies focused mainly on stationary-state properties.

Purpose of the Study:

  • To investigate the non-equilibrium dynamics of the micromaser.
  • To explore phase transitions within quantum jump trajectories.
  • To connect dynamical behavior to stationary-state properties.

Main Methods:

  • Application of the thermodynamics of quantum jump trajectories.
  • Classification of trajectories using dynamical observables (e.g., atom state changes).
  • Analysis of phase transitions in trajectory ensembles.

Main Results:

  • Discovery of multiple space-time phase transitions in micromaser dynamics.
  • Identification of first-order and continuous phase transitions.
  • Demonstration that transitions are controlled by standard and nonequilibrium counting fields.

Conclusions:

  • The micromaser exhibits a rich dynamical phase structure beyond stationary-state analysis.
  • Quantum jump trajectory thermodynamics provides a powerful tool for studying non-equilibrium quantum systems.
  • Dynamical phase behavior offers a new perspective on micromaser physics.