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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.00297 |
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| _version_ | 1866916569105301504 |
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| author | Mylnikov, V. Yu. Potashin, S. O. Sokolovskii, G. S. Averkiev, N. S. |
| author_facet | Mylnikov, V. Yu. Potashin, S. O. Sokolovskii, G. S. Averkiev, N. S. |
| contents | We study the dissipative phase transition in a quantum oscillator with two-photon drive and two-photon dissipation. Using the semi-classical Langevin equation and the Fokker-Plank approach, we construct a theory of non-perturbative quantum fluctuations and go beyond the semi-classical approximation. We demonstrate the mapping of a two-photon quantum dissipative oscillator onto a classical equilibrium model of a nonlinear classical oscillator in a colored-noise environment. Then, we justify the applicability of the Landau theory for a given dissipative phase transition. To do that, we explicitly demonstrate the Boltzmann-like form of stationary distribution function depending on the effective temperature, which is determined by the frequency detuning and the rates of two-photon drive and dissipation. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00297 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Emergent equilibrium and quantum criticality in a two-photon dissipative oscillator Mylnikov, V. Yu. Potashin, S. O. Sokolovskii, G. S. Averkiev, N. S. Quantum Physics We study the dissipative phase transition in a quantum oscillator with two-photon drive and two-photon dissipation. Using the semi-classical Langevin equation and the Fokker-Plank approach, we construct a theory of non-perturbative quantum fluctuations and go beyond the semi-classical approximation. We demonstrate the mapping of a two-photon quantum dissipative oscillator onto a classical equilibrium model of a nonlinear classical oscillator in a colored-noise environment. Then, we justify the applicability of the Landau theory for a given dissipative phase transition. To do that, we explicitly demonstrate the Boltzmann-like form of stationary distribution function depending on the effective temperature, which is determined by the frequency detuning and the rates of two-photon drive and dissipation. 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. |
| title | Emergent equilibrium and quantum criticality in a two-photon dissipative oscillator |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.00297 |