Low-lying bifurcations in cavity quantum electrodynamics
arXiv:quant-ph/0602170 · doi:10.1103/PhysRevA.73.063801
Abstract
The interplay of quantum fluctuations with nonlinear dynamics is a central topic in the study of open quantum systems, connected to fundamental issues (such as decoherence and the quantum-classical transition) and practical applications (such as coherent information processing and the development of mesoscopic sensors/amplifiers). With this context in mind, we here present a computational study of some elementary bifurcations that occur in a driven and damped cavity quantum electrodynamics (cavity QED) model at low intracavity photon number. In particular, we utilize the single-atom cavity QED Master Equation and associated Stochastic Schrodinger Equations to characterize the equilibrium distribution and dynamical behavior of the quantized intracavity optical field in parameter regimes near points in the semiclassical (mean-field, Maxwell-Bloch) bifurcation set. Our numerical results show that the semiclassical limit sets are qualitatively preserved in the quantum stationary states, although quantum fluctuations apparently induce phase diffusion within periodic orbits and stochastic transitions between attractors. We restrict our attention to an experimentally realistic parameter regime.
13 pages, 10 figures, submitted to PRA
References in corpus (11)
- Essential nonlinearities in hearing
- Quantum feedback control and classical control theory
- An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
- Feedback control of quantum state reduction
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Optimal Unravellings for Feedback Control in Linear Quantum Systems
- Robust quantum parameter estimation: coherent magnetometry with feedback
- The Quantum Emergence of Chaos
- Quantum projection filter for a highly nonlinear model in cavity QED
- Retroactive quantum jumps in a strongly-coupled atom-field system
- Extracting and Stabilizing the Unstable State of Hysteresis Loop
Cited by in corpus (49)
- Quantum feedback: theory, experiments, and applications
- Collective quantum jumps of Rydberg atoms
- Mode Coupling and Cavity-Quantum-Dot Interactions in a Fiber-Coupled Microdisk Cavity
- Optical nonlinearity for few-photon pulses on a quantum dot-pillar cavity device
- Gradient-based optimal control of open quantum systems using quantum trajectories and automatic differentiation
- Collective phases of strongly interacting cavity photons
- Non-equilibrium many-body effects in driven nonlinear resonator arrays
- Dissipative phase transitions: Independent versus collective decay and spin squeezing
- Nonlinear Temporal Dynamics of Strongly Coupled Quantum Dot-Cavity System
- Semi-classical dynamics of nano-electromechanical systems
- Coherent-feedback control strategy to suppress spontaneous switching in ultra-low power optical bistability
- Quantum-classical transition of correlations of two coupled cavities
- Remnants of semiclassical bistability in the few-photon regime of cavity QED
- Spin-based single-photon transistor, dynamic random access memory, diodes and routers in semiconductors
- Phases of driven two-level systems with nonlocal dissipation
- Quantum interference between independent reservoirs in open quantum systems
- Population trapping due to cavity losses
- Purification of a single photon nonlinearity
- Spontaneous dressed-state polarization in the strong driving regime of cavity QED
- Extended linear regime of cavity-QED enhanced optical circular birefringence induced by a charged quantum dot
- Femtojoule-scale all-optical latching and modulation via cavity nonlinear optics
- Quantum filter reduction for measurement-feedback control via unsupervised manifold learning
- Optical bistability in strong-coupling cavity QED with a few atoms
- Feedback-Induced Steady-State Light Bunching Above the Lasing Threshold
- Quantum versus classical switching dynamics of driven-dissipative Kerr resonators
- Derivation of Maxwell-Bloch-type equations by projection of quantum models
- Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition
- Dynamical instabilities of a resonator driven by a superconducting single-electron transistor
- Few-mode geometric description of a driven-dissipative phase transition in an open quantum system
- Quantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Down
- Optical Devices based on Limit Cycles and Amplification in Semiconductor Optical Cavities
- Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles
- Transition from weak to strong measurements by nonlinear quantum feedback control
- Bistability and chaos at low-level of quanta
- Bistable Spin Currents from Quantum Dots Embedded in a Microcavity
- Bistability effect in the extreme strong coupling regime of the Jaynes-Cummings model
- Quantum Dynamics of Mesoscopic Driven Duffing Oscillators
- Dynamic Quantum Tunneling in Mesoscopic Driven Duffing Oscillators
- Tunable bandwidth and nonlinearities in an atom-photon interface with subradiant states
- Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
- Time-resolved observation of a dynamical phase transition of atoms in a cavity
- Fighting decoherence in a continuous two-qubit odd or even parity measurement with a closed-loop setup
- Extended polarized semiclassical model for quantum-dot cavity QED and its application to single-photon sources
- Bifurcations and bistability in cavity assisted photoassociation of Bose-Einstein condensed molecules
- Quantum bistability and spin current shot noise of a single quantum dot coupled to an optical microcavity
- Multiphoton resonances in nitrogen-vacancy defects in diamond
- Quantization of nonlinear non-Hamiltonian systems
- Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics
- Supercritical Poincaré-Andronov-Hopf bifurcation in a mean field quantum laser equation