Emergent equilibrium and quantum criticality in a two-photon dissipative oscillator
We study the dissipative phase transition (DPT) in a quantum oscillator with two-photon drive and two-photon dissipation. Using the semiclassical Langevin equation and the truncated Wigner approximation, we construct a theory of nonperturbative quantum fluctuations and go beyond the semiclassical ap...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013061 |
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| Summary: | We study the dissipative phase transition (DPT) in a quantum oscillator with two-photon drive and two-photon dissipation. Using the semiclassical Langevin equation and the truncated Wigner approximation, we construct a theory of nonperturbative quantum fluctuations and go beyond the semiclassical approximation. We demonstrate the mapping of a two-photon quantum dissipative oscillator onto a classical equilibrium model of a nonlinear classical oscillator in a white-noise environment. Then we justify the applicability of the Boltzmann-Gibbs theory for a given DPT. To do that, we explicitly demonstrate the Boltzmann-Gibbs-like form of the stationary distribution function depending on the effective temperature, which is determined by the two-photon pump rate. In addition, we provide a description of the quantum critical region and obtain critical exponents that appear to be in very good agreement with numerical simulations. |
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| ISSN: | 2643-1564 |