Quantum synchronization of two Van der Pol oscillators

DOI10.1002/ANDP.201400144zbMath1312.81148arXiv1406.7134OpenAlexW3124131036WikidataQ59442952 ScholiaQ59442952MaRDI QIDQ5249070

Christoph Bruder, Andreas Nunnenkamp, Stefan Walter

Publication date: 29 April 2015

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7134

zbMATH Keywords

cavity optomechanicsquantum synchronizationlimit-cycle oscillators

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (14)

Quantum synchronization of chaotic oscillator behaviors among coupled BEC-optomechanical systems ⋮ Uniform stability and emergent dynamics of particle and kinetic Lohe matrix models ⋮ Quantum asymptotic phases reveal signatures of quantum synchronization ⋮ Criterion of quantum phase synchronization in continuous variable systems by local measurement ⋮ Entanglement boosts quantum synchronization between two oscillators in an optomechanical setup ⋮ State-Dependent Dynamics of the Lohe Matrix Ensemble on the Unitary Group under the Gradient Flow ⋮ Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system ⋮ Oscillation and synchronization of two quantum self-sustained oscillators ⋮ Polaritons and excitons: Hamiltonian design for enhanced coherence ⋮ Quantum synchronization in a star-type cavity QED network ⋮ Emergent behavior of a second-order Lohe matrix model on the unitary group ⋮ Emergence of synchronous behaviors for the Schrödinger–Lohe model with frustration ⋮ Revival of oscillation and symmetry breaking in coupled quantum oscillators ⋮ Noise-induced transitions in optomechanical synchronization

Cites Work

• Unnamed Item
• Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues

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