Quantum signatures of Chimera states

Abstract

Chimera states are complex spatiotemporal patterns in networks of identical oscillators, characterized by the coexistence of synchronized and desynchronized dynamics. Here we propose to extend the phenomenon of chimera states to the quantum regime, and uncover intriguing quantum signatures of these states. We calculate the quantum fluctuations about semiclassical trajectories and demonstrate that chimera states in the quantum regime can be characterized by bosonic squeezing, weighted quantum correlations, and measures of mutual information. Our findings reveal the relation of chimera states to quantum information theory, and give promising directions for experimental realization of chimera states in quantum systems.

5 pages, 4 figures, and supplemental material. Comments are welcome

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Cited by in corpus (63)

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• Chimera states in complex networks: interplay of fractal topology and delay
• Connecting the Kuramoto Model and the Chimera State
• Generalized Measure of Quantum synchronization
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• Quantum Synchronisation in Nanoscale Heat Engines
• The changing notion of chimera states, a critical review
• Quantum correlations and synchronization measures
• Synchronization along quantum trajectories
• Non-identical multiplexing promotes chimera states
• Networks of coupled oscillators: from phase to amplitude chimeras
• Relay synchronization in multiplex networks of discrete maps
• Topological synchronization of quantum van der Pol oscillators
• Mechanism for Strong Chimeras
• Quantum effects in amplitude death of coupled anharmonic self-oscillators
• Delay-induced chimeras in neural networks with fractal topology
• Role of Coherence and Degeneracies in Quantum Synchronisation
• Quantum manifestations of homogeneous and inhomogeneous oscillation suppression states
• Noise, not squeezing, boosts synchronization in the deep quantum regime
• Chimera states in networks of logistic maps with hierarchical connectivities
• Dynamics of Many-Body Quantum Synchronisation
• Transitions from chimeras to coherence: An analytical approach by means of the coherent stability function
• Synchronization of micromasers
• Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death
• Enhancement of quantum synchronization via continuous measurement and feedback control
• Chimera Time-Crystalline order in quantum spin networks
• Quantum Coherence Resonance
• Quantum synchronization effects induced by strong nonlinearities
• Machine learning with observers predicts complex spatiotemporal behavior
• Symmetries and Synchronization Blockade
• Genesis of chimera patterns through self-induced stochastic resonance
• Macroscopic quantum synchronization effects
• Time-delayed quantum coherent Pyragas feedback control of photon squeezing in a degenerate parametric oscillator
• Revival of oscillation and symmetry breaking in coupled quantum oscillators
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• Turing instability in quantum activator-inhibitor systems
• Exotic synchronization in continuous time crystals outside the symmetric subspace
• Aging transition in coupled quantum oscillators
• Topological quantum synchronization of fractionalized spins
• Chimeras and clusters in networks of hyperbolic chaotic oscillators
• Quench-induced dynamical phase transitions and $\pi$-synchronization in the Bose-Hubbard Model
• Diverse coherence-resonance chimeras in coupled type-I excitable systems
• Chimera states and the interplay between initial conditions and non-local coupling
• Chimera states in multi-strain epidemic models with temporary immunity
• Characteristic distribution of finite-time Lyapunov exponents for chimera states
• Synchronization-induced violation of thermodynamic uncertainty relations
• Kerr nonlinearity hinders symmetry-breaking states of coupled quantum oscillators
• Asymmetric cluster and chimera dynamics in globally coupled systems
• Synchronization Lower Bounds the Efficiency of Near-Degenerate Thermal Machines
• Predicting the Onset of Quantum Synchronization Using Machine Learning
• Chimeras in digital phase-locked loops
• Chimera states in quantum mechanics
• Quantization of nonlinear non-Hamiltonian systems
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Nonequilibrium thermodynamic signatures of collective dynamical states around chimera in a chemical reaction network
• Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
• Chimera patterns in conservative systems and ultracold atoms with mediated nonlocal hopping
• Observation of synchronization between two quantum van der Pol oscillators in trapped ions
• Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
• Quantum fingerprints of self-organization in spin chains coupled to a Kuramoto model