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Updated: Aug 9, 2025

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Competition between Two-Photon Driving, Dissipation, and Interactions in Bosonic Lattice Models: An Exact Solution.

David Roberts1,2, A A Clerk1

  • 1Pritzker School of Molecular Engineering, University of Chicago, Chicago, 60637 Illinois, USA.

Physical Review Letters
|February 24, 2023
PubMed
Summary

We provide an exact solution for quantum driven-dissipative bosonic models, revealing phase transitions and stabilizing novel many-body states. This approach surpasses traditional methods in complex quantum systems.

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Area of Science:

  • Quantum optics
  • Many-body physics
  • Condensed matter theory

Background:

  • Quantum systems often exhibit complex dynamics under external driving and dissipation.
  • Understanding steady states is crucial for controlling quantum devices and exploring novel quantum phenomena.
  • Traditional methods like mean-field theory struggle with strong correlations in driven-dissipative systems.

Purpose of the Study:

  • To develop an exact analytical solution for a specific class of quantum driven-dissipative bosonic models.
  • To investigate phenomena such as dissipative phase transitions, mode competition, and symmetry breaking.
  • To explore the stabilization of many-body quantum states, specifically SU(1,1) pair-coherent states.

Main Methods:

  • Derivation of an exact solution for the steady states of quantum driven-dissipative bosonic models.
  • Analysis of models with two-photon driving, single-photon loss, and global Hubbard (Kerr) interactions.
  • Extension of the solution to arbitrary dimensions.

Main Results:

  • Exact solutions reveal the emergence of dissipative phase transitions.
  • Demonstration of nontrivial mode competition and symmetry breaking phenomena.
  • Identification of the stabilization of many-body SU(1,1) pair-coherent states.
  • The exact solutions allow for the description of spatial correlations.

Conclusions:

  • The developed exact solutions are valid in regimes where mean-field and semiclassical approaches fail.
  • This work provides a powerful tool for studying complex quantum phenomena in driven-dissipative systems.
  • The findings open new avenues for designing and controlling quantum systems with tailored properties.