ArticleNanomaterials (Basel, Switzerland)2022
Dissipative Phase Transition in Systems with Two-Photon Drive and Nonlinear Dissipation near the Critical Point.
Article in Nanomaterials (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Observation of first- and second-order dissipative phase transitions in a two-photon driven Kerr resonator.Nature communications · 2025Article
- Parametrically driving a quantum oscillator into exceptionality.Scientific reports · 2023Article
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Authors and funding
4 authors.
Funding
Abstract
In this paper, we examine dissipative phase transition (DPT) near the critical point for a system with two-photon driving and nonlinear dissipations. The proposed mean-field theory, which explicitly takes into account quantum fluctuations, allowed us to describe properly the evolutionary dynamics of the system and to demonstrate new effects in its steady-state. We show that the presence of quantum fluctuations leads to a power-law dependence of the anomalous average at the phase transition point, with which the critical exponent is associated. Also, we investigate the effect of the quantum fluctuations on the critical point renormalization and demonstrate the existence of a two-photon pump "threshold". It is noteworthy that the obtained results are in a good agreement with the numerical simulations.
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