Noise, not squeezing, boosts synchronization in the deep quantum regime
arXiv:2002.07488 · doi:10.1103/PhysRevResearch.2.033422
Abstract
Synchronization occurs ubiquitously in nature. The van der Pol oscillator has been a favorite model to investigate synchronization. Here we study the oscillator in the deep quantum regime, where nonclassical effects dominate the dynamics. Our results show: (i) squeezed driving loses its effect, (ii) noise boosts synchronization, (iii) synchronization is bounded, and (iv) the limit-cycle is insensitive to strong driving. We propose a synchronization measure and analytically calculate it. These results reflect intrinsic differences between synchronization in the quantum and deep quantum regimes.
References in corpus (30)
- Collective dynamics in optomechanical arrays
- Quantum synchronization of quantum van der Pol oscillators with trapped ions
- Quantum many-body dynamics in optomechanical arrays
- Quantum synchronization of a driven self-sustained oscillator
- Photonic Cavity Synchronization of Nanomechanical Oscillators
- Entanglement tongue and quantum synchronization of disordered oscillators
- Quantum synchronization of two Van der Pol oscillators
- Quantum synchronization and entanglement generation
- Mutual information as an order parameter for quantum synchronization
- Squeezing Enhances Quantum Synchronization
- Synchronizing the Smallest Possible System
- Quantum Synchronization Blockade: Energy Quantization hinders Synchronization of Identical Oscillators
- Quantum signatures of Chimera states
- Noise-Induced Transitions in Optomechanical Synchronization
- Observation of quantum phase synchronization in spin-1 atoms
- Genuine quantum signatures in synchronization of anharmonic self-oscillators
- Quantum Synchronization on the IBM Q System
- Critical Response of a Quantum van der Pol Oscillator
- Synchronization of an optomechanical system to an external drive
- Quantum Synchronisation in Nanoscale Heat Engines
- Quantum-coherent phase oscillations in synchronization
- Synchronization along quantum trajectories
- Oscillation collapse in coupled quantum van der Pol oscillators
- Optimal synchronization deep in the quantum regime: resource and fundamental limit
- Semiclassical Phase Reduction Theory for Quantum Synchronization
- Synchronization in two-level quantum systems
- Non-degenerate parametric resonance in tunable superconducting cavity
- Injection locking and parametric locking in a superconducting circuit
- Bridging between Lab and Rotating Frame Master Equations for Open Quantum Systems
- Phase diffusion and the small-noise approximation in linear amplifiers: Limitations and beyond
Cited by in corpus (26)
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Quantum limit-cycles and the Rayleigh and van der Pol oscillators
- Observing Quantum Synchronization of a Single Trapped-Ion Qubit
- Quantum manifestations of homogeneous and inhomogeneous oscillation suppression states
- Quantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Down
- Enhancement of quantum synchronization via continuous measurement and feedback control
- Quantum Coherence Resonance
- Quantum synchronization effects induced by strong nonlinearities
- Quantum associative memory with a single driven-dissipative nonlinear oscillator
- Revival of oscillation and symmetry breaking in coupled quantum oscillators
- Nonequilibrium transition between dissipative time crystals
- Topological quantum synchronization of fractionalized spins
- Shortcut to synchronization in classical and quantum systems
- Quantum asymptotic phase reveals signatures of quantum synchronization
- Enhancing quantum synchronization through homodyne measurement, noise and squeezing
- Fisher information as general metrics of quantum synchronization
- A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint
- Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
- Transient dynamics of the quantum Stuart-Landau oscillator
- Quantization of nonlinear non-Hamiltonian systems
- Observation of synchronization between two quantum van der Pol oscillators in trapped ions
- Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
- Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation
- Quantum limit cycles and synchronization from a measurement perspective
- Auxiliary-state facilitated phase synchronization phenomena in isolated spin systems
- Metastable quantum entrainment