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Dicke Transition in Open Many-Body Systems Determined by Fluctuation Effects
Alla V Bezvershenko1, Catalin-Mihai Halati2, Ameneh Sheikhan2
1Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany.
Physical Review Letters
|November 5, 2021
Summary
We present a new method to study the Dicke transition in many-particle systems coupled to a cavity. Fluctuations beyond mean-field theory reveal universal properties and the thermal nature of the transition.
Area of Science:
- Quantum optics
- Many-body physics
- Cavity quantum electrodynamics
Background:
- The Dicke transition describes a collective phenomenon in quantum systems.
- Understanding systems strongly coupled to cavities is crucial for quantum technologies.
- Previous models often neglect fluctuations beyond mean-field approximations.
Purpose of the Study:
- To develop a theoretical framework for the Dicke transition in interacting many-particle systems.
- To investigate the role of fluctuations beyond mean-field theory.
- To identify universal properties of self-organized states in driven-dissipative systems.
Main Methods:
- Combining a mean-field approach with a perturbative treatment of fluctuations.
- Analyzing the steady-state properties of the system.
- Utilizing time-dependent matrix-product-state calculations for validation.
Main Results:
- Fluctuations beyond mean-field significantly alter the steady-state nature.
- The transition is shown to be thermal in character.
- Emergent self-organized states exhibit universal properties.
Conclusions:
- The developed approach accurately describes the Dicke transition in strongly coupled systems.
- Fluctuations are essential for understanding the thermal nature and universality of the transition.
- The findings provide insights into the behavior of open quantum systems.
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