Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
arXiv:2104.11669 · doi:10.3390/nano12152543
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.
arXiv comment7 pages, 4 figures
References in corpus (49)
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Bidirectional and efficient conversion between microwave and optical light
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Keldysh Field Theory for Driven Open Quantum Systems
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Introduction to Nonequilibrium Quantum Field Theory
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- Spectral theory of Liouvillians for dissipative phase transitions
- Dissipative production of a maximally entangled steady state
- Dissipative Phase Transition in Central Spin Systems
- Dynamical phase transition in the open Dicke model
- A Schrodinger Cat Living in Two Boxes
- Black-box superconducting circuit quantization
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Quantum simulations and many-body physics with light
- Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
- Critical Quantum metrology with a finite-component quantum phase transition
- Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
- Cavity-assisted quantum bath engineering
- Probing a dissipative phase transition via dynamical optical hysteresis
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- Bias-preserving gates with stabilized cat qubits
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Realization of the Dicke model using cavity-assisted Raman transitions
- Schrodinger cats and their power for quantum information processing
- Protecting a Bosonic Qubit with Autonomous Quantum Error Correction
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Emergent equilibrium in many-body optical bistability
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Tuneable hopping and nonlinear cross-Kerr interactions in a high-coherence superconducting circuit
- Symmetry breaking and error correction in open quantum systems
- Light-mediated cascaded locking of multiple nano-optomechanical oscillators
- Power-laws in the dynamic hysteresis of quantum nonlinear photonic resonators
- A quantum transducer using a parametric driven-dissipative phase transition
- Exact results for Schrödinger cats in driven-dissipative systems and their feedback control
- Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
- Ultracold atoms and the Functional Renormalization Group
- Driven-dissipative phase transition in a Kerr oscillator: From semiclassical symmetry to quantum fluctuations
- Unconditional preparation of nonclassical states via linear-and-quadratic optomechanics
- Homodyne versus photon-counting quantum trajectories for dissipative Kerr resonators with two-photon driving
- Dynamics of transient cat-states in degenerate parametric oscillation with and without nonlinear Kerr interactions
- Non-perturbative predictions for cold atom Bose gases with tunable interactions
- Applications of the Fokker-Planck equation in circuit quantum electrodynamics
- Auxiliary field approach to dilute Bose gases with tunable interactions
- Theory of interactions between cavity photons induced by a mesoscopic circuit
- Stabilizing arrays of photonic cat states via spontaneous symmetry breaking
- 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