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Metastability in an open quantum Ising model.

Dominic C Rose1,2, Katarzyna Macieszczak1,2,3, Igor Lesanovsky1,2

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

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This study reveals metastability in a quantum Ising model, where systems temporarily inhabit long-lived states before reaching equilibrium. This highlights complex dynamics in open quantum systems near phase transitions.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Open quantum systems exhibit complex dynamics.
  • Dissipative quantum Ising models are crucial for understanding phase transitions and metastability.

Purpose of the Study:

  • To investigate metastability in a one-dimensional dissipative quantum Ising model.
  • To characterize the nature of metastable states and their dynamics.

Main Methods:

  • Application of a new theory for metastability in open quantum systems.
  • Analysis of spectral properties of the quantum master operator.
  • Characterization of metastable states as probability mixtures.

Main Results:

  • Pronounced metastability observed in the finite system dynamics near a transition/crossover point.
  • Identification of a low-dimensional manifold of metastable states.
  • Demonstration of classical stochastic dynamics approximating long-time behavior.

Conclusions:

  • Metastability plays a significant role in the dynamics of this quantum Ising model.
  • The metastable states are mixtures of paramagnetic and ferromagnetic phases.
  • Long-time dynamics can be understood through classical stochastic processes related to quantum trajectories.