Quantum correlations and mutual synchronization

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical mechanism that forces the system to oscillate at a single frequency with a predictable and tunable phase difference. Finally, the scheme is generalized to the case of N oscillators and M (< N ) two-level systems.

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“…Beyond the Kuramoto model, studies of synchronization in quantum systems have been developed [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Synchronizing quantum harmonic oscillators through two-level systems

Nakazato

Napoli

2017

Phys. Rev. A

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“…There have been important first attempts to address this problem theoretically, from communities as diverse as trapped atomic ensembles, Josephson junctions, and nanomechanical systems [6][7][8][9][10][11][12][13][14][15][16]. Optomechanical systems [17] appear to offer a particularly promising approach.…”

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confidence: 99%

Quantum Synchronization of a Driven Self-Sustained Oscillator

2014

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Synchronization is a universal phenomenon that is important both in fundamental studies and in technical applications. Here we investigate synchronization in the simplest quantum-mechanical scenario possible, i.e., a quantum-mechanical self-sustained oscillator coupled to an external harmonic drive. Using the power spectrum we analyze synchronization in terms of frequency entrainment and frequency locking in close analogy to the classical case. We show that there is a step-like crossover to a synchronized state as a function of the driving strength. In contrast to the classical case, there is a finite threshold value in driving. Quantum noise reduces the synchronized region and leads to a deviation from strict frequency locking. PACS numbers: 05.45.Xt, Synchronization is an intriguing phenomenon exhibited by a wide range of physical, chemical, and biological systems [1]. The basic setting consists of coupled self-oscillating systems synchronizing their motion; examples include such different phenomena as orbital resonances in planetary motion or the rhythm of muscle cells in mammal hearts. A paradigmatic and widely studied model of synchronization is the Kuramoto model of coupled limit-cycle oscillators [2,3].The most fundamental scenario of classical synchronization is the frequency locking of a self-sustained oscillator which is externally driven by a harmonic force [1,4]. A self-sustained oscillator takes energy from a source, e.g. by negative damping, and can therefore maintain stable oscillatory motion and an undetermined phase in the presence of dissipation. If the oscillator is additionally driven by a harmonic force, there is a finite range of detuning for which the oscillator is frequencylocked to the drive, and noise can reduce or destroy this range of synchronization [1]. There are also regimes of frequency entrainment in which the oscillator frequency is pulled towards the drive frequency, but does not reach it. In this case, the frequency of the driven oscillator, the observed frequency ω obs , differs from both the natural frequency of the oscillator and the drive frequency. The simplest model exhibiting these effects is the van der Pol oscillator [1] which allows the analysis of the complex phenomenology of synchronization.Recently, the question if synchronization exists in quantum systems has attracted a lot of interest. There have been important first attempts to address this problem theoretically, from communities as diverse as trapped atomic ensembles, Josephson junctions, and nanomechanical systems [6][7][8][9][10][11][12][13][14][15][16]. Optomechanical systems [17] appear to offer a particularly promising approach. Recent experiments have reported classical synchronization of nanomechanical oscillators [18,19], the quantum many-body dynamics of an array of identical optomechanical cells has been predicted to show synchronized behavior [9], and quantitative measures for quantum synchronization based on the Heisenberg uncertainty principle have been applied to two and many coupled optomechani...

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“…It has been thoroughly studied in classical nonlinear dynamical systems [5], and extended to chaotic ones [6]. Only recently synchronization has been studied in quantum systems, e.g., two coupled quantum harmonic oscillators [7], a qubit coupled to a quantum dissipative driven oscillator [8], two dissipative spins [9], and two coupled cavities [10]. Last year, connections between quantum entanglement and synchronization have been discussed in continuous variable systems [11,12].…”

Section: Introductionmentioning

confidence: 99%

Measure synchronization in quantum many-body systems

et al. 2014

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The concept of measure synchronization between two coupled quantum many-body systems is presented. In general terms we consider two quantum many-body systems whose dynamics gets coupled through the contact particle-particle interaction. This coupling is shown to produce measure synchronization, a generalization of synchrony to a large class of systems which takes place in absence of dissipation. We find that in quantum measure synchronization, the many-body quantum properties for the two subsystems, e.g., condensed fractions and particle fluctuations, behave in a coordinated way. To illustrate the concept we consider a simple case of two species of bosons occupying two distinct quantum states. Measure synchronization can be readily explored with state-of-the-art techniques in ultracold atomic gases and, if properly controlled, be employed to build targeted quantum correlations in a sympathetic way.

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Quantum correlations and mutual synchronization

Cited by 130 publications

References 33 publications

Synchronizing quantum harmonic oscillators through two-level systems

Synchronizing quantum harmonic oscillators through two-level systems

Quantum Synchronization of a Driven Self-Sustained Oscillator

Measure synchronization in quantum many-body systems

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