Measures of quantum synchronization in continuous variable systems

Abstract

We introduce and characterize two different measures which quantify the level of synchronization of interacting continuous variable quantum systems. The two measures allow to extend to the quantum domain the notions of complete and phase synchronization. The Heisenberg principle sets a universal bound to complete synchronization. The measure of phase synchronization is in principle unbounded, however in the absence of quantum resources (e.g. squeezing) the synchronization level is bounded below a certain threshold. We elucidate some interesting connections between entanglement and synchronization and, finally, discuss an application based on quantum opto-mechanical systems.

5+1 pages, 2 figures

References in corpus (23)

• Quantum information with continuous variables
• Gaussian Quantum Information
• Optomechanical Crystals
• Quantum versus classical correlations in Gaussian states
• Synchronization of Micromechanical Oscillators Using Light
• Collective dynamics in optomechanical arrays
• Dynamical multistability in high-finesse micromechanical optical cavities
• Gently modulating opto-mechanical systems
• Quantum many-body dynamics in optomechanical arrays
• Slowing and stopping light using an optomechanical crystal array
• Coherent mixing of mechanical excitations in nano-optomechanical structures
• Gaussian states in continuous variable quantum information
• The optomechanical instability in the quantum regime
• Synchronization, quantum correlations and entanglement in oscillator networks
• Quantum correlations and mutual synchronization
• Enhancing Quantum Effects via Periodic Modulations in Optomechanical Systems
• Quantum Stochastic Synchronization
• Synchronization and bistability of qubit coupled to a driven dissipative oscillator
• Reservoir engineering and dynamical phase transitions in optomechanical arrays
• Universal occurrence of mixed-synchronization in counter-rotating nonlinear coupled oscillators
• Quantum synchronization
• Quantum-classical transition of correlations of two coupled cavities
• Conveyor belt clock synchronization

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