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

Abstract

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 into account quantum fluctuations, allowed us to describe properly the evolution dynamics of the system and to demonstrate the new effects in the 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.

7 pages, 4 figures

References in corpus (16)

• Confining the state of light to a quantum manifold by engineered two-photon loss
• Dynamical phase transition in the open Dicke model
• Dissipative Phase Transition in Central Spin Systems
• Black-box superconducting circuit quantization
• Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Protecting a Bosonic Qubit with Autonomous Quantum Error Correction
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Symmetry breaking and error correction in open quantum systems
• Light-mediated cascaded locking of multiple nano-optomechanical oscillators
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Ultracold atoms and the Functional Renormalization Group
• Driven-dissipative phase transition in a Kerr oscillator: From semiclassical $\mathcal{P}\mathcal{T}$ symmetry to quantum fluctuations
• Non-perturbative predictions for cold atom Bose gases with tunable interactions
• Continuous Generation and Stabilization of Mesoscopic Field Superposition States in a Quantum Circuit

Cited by in corpus (4)

• One hundred second bit-flip time in a two-photon dissipative oscillator
• Observation of first- and second-order dissipative phase transitions in a two-photon driven Kerr resonator
• Parametrically driving a quantum oscillator into exceptionality
• Emergent equilibrium and quantum criticality in a two-photon dissipative oscillator