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Exact Solution of the Infinite-Range Dissipative Transverse-Field Ising Model.

David Roberts1,2, A A Clerk1

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|November 24, 2023
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Summary
This summary is machine-generated.

We solved the infinite-range Ising model with dissipation and inhomogeneous fields, revealing new quantum phase transitions and a "spin blockade" effect. This work offers insights into open quantum systems and quantum simulation.

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Area of Science:

  • Quantum Many-Body Physics
  • Open Quantum Systems
  • Quantum Simulation

Background:

  • The transverse-field Ising model is crucial for studying driven-dissipative quantum phase transitions.
  • It serves as a model for experimental platforms in atomic physics and quantum simulation.

Purpose of the Study:

  • To present an exact solution for the steady state of the dissipative Ising model with infinite-range interactions, local dissipation, and inhomogeneous transverse fields.
  • To investigate dissipative phase transitions, driven-dissipative criticality, and emergent phenomena like spin blockade.

Main Methods:

  • Exact solution for the steady state of the transverse-field Ising model.
  • Analysis in the limit of infinite-range interactions with local dissipation and inhomogeneous fields.
  • The solution is valid without collective spin or permutation symmetry.

Main Results:

  • An exact solution for the steady state was derived, applicable even without symmetry.
  • The study identified first- and second-order dissipative phase transitions and driven-dissipative criticality.
  • A novel phenomenon termed
  • spin blockade
  • was observed.

Conclusions:

  • The exact solution provides a new analytical tool for studying disordered open quantum systems.
  • This approach is valuable for regimes intractable by numerical methods.
  • The findings advance the understanding of quantum phase transitions in open systems.