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Dissipative Phase Transition in Systems with Two-Photon Drive and Nonlinear Dissipation near the Critical Point
Valentin Yu Mylnikov1,2, Sergey O Potashin1, Grigorii S Sokolovskii1,2
1Ioffe Institute, 194021 St. Petersburg, Russia.
Nanomaterials (Basel, Switzerland)
|July 27, 2022
Summary
This study explores dissipative phase transitions (DPT) in quantum systems. Quantum fluctuations significantly alter critical behavior and introduce a two-photon pump threshold.
Area of Science:
- Quantum Optics
- Nonlinear Dynamics
- Condensed Matter Theory
Background:
- Dissipative phase transitions (DPT) are crucial for understanding open quantum systems.
- Two-photon driving and nonlinear dissipation introduce complex dynamics.
- Quantum fluctuations play a significant role near critical points.
Purpose of the Study:
- To investigate DPT near the critical point in a system with two-photon driving and nonlinear dissipation.
- To analyze the impact of quantum fluctuations on system dynamics and steady-state properties.
- To identify new effects and critical phenomena arising from quantum fluctuations.
Main Methods:
- Development of a mean-field theory incorporating quantum fluctuations.
- Analysis of evolutionary dynamics and steady-state properties.
- Investigation of critical exponent and critical point renormalization.
Main Results:
- Quantum fluctuations lead to a power-law dependence of the anomalous average at the phase transition point.
- A critical exponent is associated with this power-law dependence.
- Quantum fluctuations renormalize the critical point and reveal a two-photon pump threshold.
Conclusions:
- The developed mean-field theory accurately describes system dynamics and steady-state effects.
- Quantum fluctuations are essential for understanding critical phenomena in such systems.
- The findings align well with numerical simulations, validating the theoretical approach.
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