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Louis Garbe1,2, Peregrine Wade3, Fabrizio Minganti4

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We investigated the two-photon Dicke model with dissipation, revealing a rich phase diagram. Dissipation introduces stable, bistable, and unstable phases, impacting superradiance and spectral collapse.

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Area of Science:

  • Quantum Optics
  • Quantum Simulation
  • Condensed Matter Physics

Background:

  • The Dicke model describes light-matter interactions in quantum systems.
  • Superradiance emerges from collective light-matter interactions.
  • Experimental platforms now enable complex models like the two-photon Dicke model.

Purpose of the Study:

  • To investigate the effects of qubit and photon dissipation on the two-photon Dicke model.
  • To analyze the impact of dissipation on the superradiant phase transition and spectral collapse instability.

Main Methods:

  • Utilized reservoir engineering and analogue quantum simulation techniques.
  • Employed a mean-field decoupling approximation for analytical solutions.
  • Analyzed steady-state expectation values and performed stability analysis.

Main Results:

  • Identified a first-order phase transition from the normal to the superradiant phase.
  • The system exhibits a rich phase diagram with stable, bistable, and unstable phases.
  • Dissipation significantly influences the superradiant phase transition and spectral collapse.

Conclusions:

  • Dissipation plays a crucial role in shaping the quantum phase diagram of the two-photon Dicke model.
  • The study provides analytical insights into the complex interplay between dissipation and quantum criticality.
  • Findings are relevant for understanding and controlling quantum phenomena in dissipative systems.