Quantum Coherence Resonance
arXiv:2006.09203 · doi:10.1088/1367-2630/abf1d7
Abstract
It is shown that coherence resonance, a phenomenon in which regularity of noise-induced oscillations in nonlinear excitable systems is maximized at a certain optimal noise intensity, can be observed in quantum dissipative systems. We analyze a quantum van der Pol system subjected to squeezing, which exhibits bistable excitability in the classical limit, by numerical simulations of the quantum master equation. We first demonstrate that quantum coherence resonance occurs in the semiclassical regime, namely, the regularity of the system's oscillatory response is maximized at an optimal intensity of quantum fluctuations, and interpret this phenomenon by analogy with classical noisy excitable systems using semiclassical stochastic differential equations. This resonance persists under moderately strong quantum fluctuations for which the semiclassical description is invalid. Moreover, we investigate even stronger quantum regimes and demonstrate that the regularity of the system's response can exhibit the second peak as the intensity of the quantum fluctuations is further increased. We show that this second peak of resonance is a strong quantum effect that cannot be interpreted by a semiclassical picture, in which only a few energy states participate in the system dynamics.
12pages, 5 figures
References in corpus (10)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
- Synchronization along quantum trajectories
- Semiclassical Phase Reduction Theory for Quantum Synchronization
- Coherence Resonance and Stochastic Resonance in an Excitable Semiconductor Superlattice
- Noise, not squeezing, boosts synchronization in the deep quantum regime
- Quantum manifestations of homogeneous and inhomogeneous oscillation suppression states
- Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators
- Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
- Noise-induced temporal regularity and signal amplification in an optomechanical system with parametric instability
Cited by in corpus (9)
- Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death
- Quantum synchronization effects induced by strong nonlinearities
- Revival of oscillation and symmetry breaking in coupled quantum oscillators
- Nonequilibrium transition between dissipative time crystals
- Entanglement signatures for quantum synchronization with single-ion phonon laser
- Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
- Quantization of nonlinear non-Hamiltonian systems
- Excitable quantum systems: the bosonic avalanche laser
- Metastable quantum entrainment