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Multicritical behavior in dissipative Ising models.

Vincent R Overbeck1, Mohammad F Maghrebi2, Alexey V Gorshkov2

  • 1Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany.

Physical Review. A
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Summary
This summary is machine-generated.

We explored the dissipative Ising model, finding its phase diagram differs significantly from equilibrium states. This work introduces a new field theory and suggests experimental realization with ultracold Rydberg gases.

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Area of Science:

  • Quantum physics
  • Many-body systems
  • Statistical mechanics

Background:

  • The Ising model is a fundamental model in statistical mechanics, typically studied in equilibrium.
  • Dissipative quantum systems exhibit unique phenomena not present in closed systems.
  • Understanding non-equilibrium dynamics is crucial for quantum technologies.

Purpose of the Study:

  • To theoretically analyze the many-body dynamics of a dissipative Ising model in a transverse field.
  • To investigate modifications to the steady-state phase diagram compared to equilibrium.
  • To develop a field-theoretical framework and explore experimental possibilities.

Main Methods:

  • Variational approach for analyzing many-body dynamics.
  • Development of a dissipative Ginzburg-Landau theory.
  • Calculation of the upper critical dimension.

Main Results:

  • The steady-state phase diagram is significantly altered from the equilibrium Ising model.
  • A multicritical point from a different universality class emerges.
  • A field-theoretical treatment and the upper critical dimension are computed.

Conclusions:

  • Dissipation fundamentally changes the phase diagram and critical behavior of the Ising model.
  • The developed field theory provides a powerful tool for studying such systems.
  • Ultracold Rydberg gases offer a promising platform for experimental realization.