Quantum correlations and mutual synchronization

Abstract

We consider the phenomenon of mutual synchronization in a fundamental quantum system of two detuned quantum harmonic oscillators dissipating into the environment. We identify the conditions leading to this spontaneous phenomenon showing that the ability of the system to synchronize is related to the existence of disparate decay rates and is accompanied by robust quantum discord and mutual information between the oscillators, preventing the leak of information from the system.

References in corpus (14)

• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• Collective dynamics in optomechanical arrays
• Dynamics of the entanglement between two oscillators in the same environment
• Coupled quantized mechanical oscillators
• Markovian Master Equations: A Critical Study
• Trapped-ion antennae for the transmission of quantum information
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments
• Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
• Quantum Stochastic Synchronization
• Synchronization and bistability of qubit coupled to a driven dissipative oscillator
• Maximally discordant mixed states of two qubits
• Robustness of different indicators of quantumness in the presence of dissipation

Cited by in corpus (79)

• The classical-quantum boundary for correlations: discord and related measures
• Quantum many-body dynamics in optomechanical arrays
• Measures of quantum synchronization in continuous variable systems
• Quantum synchronization of a driven self-sustained oscillator
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Synchronization, quantum correlations and entanglement in oscillator networks
• Mutual information as an order parameter for quantum synchronization
• Squeezing Enhances Quantum Synchronization
• Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
• Spontaneous synchronization and quantum correlation dynamics of open spin systems
• Noise-Induced Transitions in Optomechanical Synchronization
• Synchronization of Interacting Quantum Dipoles
• Quantum Synchronisation Enabled by Dynamical Symmetries and Dissipation
• Synchronization dynamics of two nanomechanical membranes within a Fabry-Perot cavity
• Quantum synchronization as a local signature of super- and subradiance
• Quantum synchronization in dimer atomic lattices
• Synchronization of an optomechanical system to an external drive
• Probing the spectral density of a dissipative qubit via quantum synchronization
• Noise-induced quantum synchronization
• Quantum correlations and synchronization measures
• Boosting the performance of small autonomous refrigerators via common environmental effects
• Synchronization along quantum trajectories
• Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field
• Quantum synchronization in a collision model
• Quantum synchronization of few-body systems under collective dissipation
• Synchronization in two-level quantum systems
• Synchronization in a semiclassical Kuramoto model
• Avoiding dissipation in a system of three quantum harmonic oscillators
• Pattern phase diagram for 2D arrays of coupled limit-cycle oscillators
• Synchronization and Non-Markovianity in open quantum systems
• Measure synchronization in quantum many-body systems
• Bath-induced collective phenomena on superconducting qubits: synchronization, subradiance, and entanglement generation
• General linearized theory of quantum fluctuations around arbitrary limit cycles
• Estimating the degree of non-Markovianity using machine learning
• Non-Gaussian quantum discord for Gaussian states
• Quantum $\phi$-synchronization in coupled optomechanical system with periodic modulation
• Minimal model for spontaneous quantum synchronization
• A self-contained quantum harmonic engine
• Degree of Quantumness in Quantum Synchronization
• Transient Synchronisation and Quantum Coherence in a Bio-Inspired Vibronic Dimer
• Synchronizing Quantum Harmonic Oscillators through Two-Level Systems
• Synchronisation phase as an indicator of persistent quantum correlations between subsystems
• Synchronization and coalescence in a dissipative two-qubit system
• Hybrid synchronization in coupled ultracold atomic gases
• Enhanced Quantum Synchronization via Quantum Machine Learning
• Macroscopic quantum synchronization effects
• Dynamical and quantum effects of collective dissipation in optomechanical systems
• Synchronization by Magnetostriction
• Synchronization of persistent oscillations in spin systems with non-local dissipations
• Quantum counterpart of Measure synchronization: A study on a pair of Harper systems
• Measurement-Induced Quantum Synchronization and Multiplexing
• Dissipation-induced collective advantage of a quantum thermal machine
• Exceptional point induced quantum phase synchronization and entanglement dynamics in mechanically coupled gain-loss oscillators
• Quantum synchronisation and clustering in chiral networks
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model
• Shortcut to synchronization in classical and quantum systems
• Environment-induced synchronization of two quantum oscillators
• Machine learning applied to quantum synchronization-assisted probing
• A mean-field limit of the Lohe matrix model and emergent dynamics
• Synchronization-induced violation of thermodynamic uncertainty relations
• Perfect quantum-state synchronization
• Predicting the Onset of Quantum Synchronization Using Machine Learning
• Lie Algebraic Quantum Phase Reduction
• Geometric Phase in Quantum Synchronization
• Entanglement signatures for quantum synchronization with single-ion phonon laser
• Quantum Synchronization of Twin Limit-Cycle Oscillators
• Robustness of different indicators of quantumness in the presence of dissipation
• Genuine correlations in finite-size spin systems
• Quantum synchronization in one-dimensional topological systems
• Detecting Two Qubit Both-Way Positive Discord States
• Star network synchronization led by strong coupling-induced frequency squeezing
• Neural networks with quantum states of light
• Metastable quantum entrainment
• Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
• Synchronizing two superconducting qubits through a dissipating resonator
• Synchronization of thermodynamically consistent stochastic phase oscillators
• Synchronized Aharonov-Bohm Motifs via Engineered Dissipation
• The Wigner-Lohe model for quantum synchronization and its emergent dynamics
• The classical and quantum synchronization between two scattering modes in Bose-Einstein condensates generated by the standing-wave laser beams