Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
arXiv:1910.00574 · doi:10.1103/PhysRevX.10.021022
Abstract
We present a new approach for deriving exact, closed-form solutions for the steady state of a wide class of driven-dissipative nonlinear resonators that is distinct from more common positive- function methods. Our method generalizes the coherent quantum absorber approach of Stannigel et al. to include nonlinear driving and dissipation, and relies crucially on exploiting the Segal-Bargmann representation of Fock space. Our solutions and method reveal a wealth of previously unexplored observable phenomena in these systems, including new generalized photon-blockade and anti-blockade effects, and an infinite number of new parameter choices that yield quantum-bistability.
18 pages main text + 8 pages of appendices, 10 figures, version as accepted by PRX
References in corpus (12)
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Single photons from coupled quantum modes
- On the origin of strong photon antibunching in weakly nonlinear photonic molecules
- Spectral theory of Liouvillians for dissipative phase transitions
- Dissipative Phase Transition in Central Spin Systems
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Antibunching and unconventional photon blockade with Gaussian squeezed states
- Switching via quantum activation: A parametrically modulated oscillator
- Kerr-free three-wave mixing in superconducting quantum circuits
- Critical exponents in metastable decay via quantum activation
- Period multiplication in a parametrically driven superconducting resonator
- Quantum state preparation for coupled period tripling oscillators
Cited by in corpus (50)
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Symmetry breaking and error correction in open quantum systems
- Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
- Quantum interactions with pulses of radiation
- Driven-dissipative phase transition in a Kerr oscillator: From semiclassical symmetry to quantum fluctuations
- Exact solutions of interacting dissipative systems via weak symmetries
- Enhancing Dispersive Readout of Superconducting Qubits Through Dynamic Control of the Dispersive Shift: Experiment and Theory
- The squeezed Kerr oscillator: spectral kissing and phase-flip robustness
- Exact description of quantum stochastic models as quantum resistors
- Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
- Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
- Dissipative phase transitions in -photon driven quantum nonlinear resonators
- Many-Body Open Quantum Systems
- Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
- Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
- Wigner negativity in the steady-state output of a Kerr parametric oscillator
- Diverging current fluctuations in critical Kerr resonators
- Multi-Photon Resonances in Josephson Junction-Cavity Circuits
- Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
- Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
- Driving superconducting qubits into chaos
- Symmetries of the squeeze-driven Kerr oscillator
- On the static effective Lindbladian of the squeezed Kerr oscillator
- Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution
- Feedback-stabilized dynamical steady states in the Bose-Hubbard model
- Qubit Decoherence and Symmetry Restoration through Real-Time Instantons
- Finesse and four-wave mixing in microresonators
- Analytical approach to higher-order correlation functions in U(1) symmetric systems
- Neural Quantum Propagators for Driven-Dissipative Quantum Dynamics
- Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
- Universal Control in Bosonic Systems with Weak Kerr Nonlinearities
- Fluctuation-Induced Bistability of Fermionic Atoms Coupled to a Dissipative Cavity
- Entropy production dynamics in quench protocols of a driven-dissipative critical system
- Universal Time-Entanglement Trade-off in Open Quantum Systems
- Fast elementary gates for universal quantum computation with Kerr parametric oscillator qubits
- Echoes in a Single Quantum Kerr-nonlinear Oscillator
- Floquet expansion by counting pump photons
- Quantum Onsager relations
- Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
- Quantum reversal: a general theory of coherent quantum absorbers
- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
- Conformal symmetry in quasi-free Markovian open quantum systems
- A new method for driven-dissipative problems: Keldysh-Heisenberg equations
- Quantum transient heat transport in the hyper-parametric oscillator
- Nonreciprocal Photon Blockade in an Asymmetric Cavity
- Waiting time statistics for a double quantum dot coupled with an optical cavity
- Josephson Photonics with Simultaneous Resonances
- Game-environment feedback dynamics in growing population: Effect of finite carrying capacity
- Gaussian approximation and its corrections for driven dissipative Kerr model
- Non-perturbative switching rates in bistable open quantum systems: from driven Kerr oscillators to dissipative cat qubits