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20212026
most citedDissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point

8 citations · 11 across the 5 of their papers we have counts for

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quant-ph2026

Large Fluctuations in Open Quantum Systems

V. Yu. Mylnikov, S. O. Potashin, A. Kamenev

We study statistics of atypical measurement outcomes in the steady states of driven open quantum systems. In equilibrium, the probability distribution over the phase space, as enco…

quant-ph2025

Qubit decoherence in dissipative two-photon resonator: real-time instantons and Wigner function

V. Yu. Mylnikov, S. O. Potashin, Alex Kamenev

We study the quantum dynamics of a single bosonic cavity subject to two-photon driving and two-photon dissipation in the presence of finite detuning. Exploiting a hidden time-rever…

quant-ph2025

Switching rates in Kerr resonator with two-photon dissipation and driving

V. Yu. Mylnikov, S. O. Potashin, M. S. Ukhtary +1

We analytically investigate the switching rate in a two-photon driven Kerr oscillator with finite detuning and two-photon dissipation. This system exhibits quantum bistability and…

quant-ph2023★ 3 cited

Emergent equilibrium and quantum criticality in a two-photon dissipative oscillator

V. Yu. Mylnikov, S. O. Potashin, G. S. Sokolovskii +1

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…

quant-ph2021★ 8 cited

Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point

V. Yu. Mylnikov, S. O. Potashin, G. S. Sokolovskii +1

We study dissipative phase transition near the critical point for a system with two-photon driving and nonlinear dissipation. The proposed mean-field theory, which explicitly takes…