Enhanced Quantum Synchronization via Quantum Machine Learning

Cárdenas-López, F. A.; Sanz, Mikel; Retamal, J. C.; Solano, E.

doi:10.1002/qute.201800076

Cited by 12 publications

(6 citation statements)

References 82 publications

(115 reference statements)

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“…Some representative theories from classical synchronization, such as the analysis based on the Kuramoto model [2,3], carry over to the mean-field dynamics of quantum systems [4][5][6][7]. On this basis, synchronization phenomena have been predicted theoretically or observed experimentally in various microscopic systems, such as van der Pol (VdP) oscillators [6][7][8][9][10], atomic ensembles [11][12][13], cavity/circuit electrodynamics systems [14,15] and optomechanical systems (OMSs) [4,[16][17][18][19][20][21][22][23]. On the other hand, quantum effects may be responsible for some differentiation between classical and quantum synchronization.…”

Section: Introductionmentioning

confidence: 99%

Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field

Piergentili

et al. 2020

Phys. Rev. A

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We study synchronization of a room temperature optomechanical system formed by two resonators coupled via radiation pressure to the same driven optical cavity mode. By using stochastic Langevin equations and effective slowly-varying amplitude equations, we explore the long-time dynamics of the system. We see that thermal noise can induce significant non-Gaussian dynamical properties, including the coexistence of multi-stable synchronized limit cycles and phase diffusion. Synchronization in this optomechanical system is very robust with respect to thermal noise: in fact, even though each oscillator phase progressively diffuses over the whole limit cycle, their phase difference is locked, and such a phase correlation remains strong in the presence of thermal noise.

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Section: Introductionmentioning

confidence: 99%

Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field

Piergentili

et al. 2020

Phys. Rev. A

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“…This has been shown to allow, for instance, for cryptography and communications based on chaotic signals [7]. Furthermore SS can arise also in the transient evolution of dynamical systems, during relaxation towards equilibrium [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In particular SS is recognized as a universal phenomenon in non-linear sciences [1] but it can also occur in linear systems [9,11,13].…”

Section: Introductionmentioning

confidence: 99%

Transient synchronization in open quantum systems

Giorgi¹,

Cabot²,

Zambrini³

2019

Preprint

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The phenomenon of spontaneous synchronization arises in a broad range of systems when the mutual interaction strength among components overcomes the effect of detuning. Recently it has been studied also in the quantum regime with a variety of approaches and in different dynamical contexts. We review here transient synchronization arising during the relaxation of open quantum systems, describing the common enabling mechanism in presence of either local or global dissipation. We address both networks of harmonic oscillators and spins and compare different synchronization measures.

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“…Appealing examples with interesting applications comprise synchronization between hearth cardiac pacemaker cells [2], chaotic laser signals [3] or micromechanical oscillators [4][5][6].In the last decade, the interest on this paradigmatic phenomenon has been extended to the quantum realm, see e.g. [14][15][16][17][18][19][20][21][22][23]. Quantum mechanics plays a crucial role when exploring this phenomenon beyond the classical regime [24] and in relation to the degree of synchronization that systems can reach [11].…”

mentioning

confidence: 99%

Synchronization along quantum trajectories

Es'haqi-Sani

Manzano

Zambrini

et al. 2020

Phys. Rev. Research

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We employ a quantum trajectory approach to characterize synchronization and phase-locking between open quantum systems in nonequilibrium steady states. We exemplify our proposal for the paradigmatic case of two quantum Van der Pol oscillators interacting through dissipative coupling. We show the deep impact of synchronization on the statistics of phase-locking indicators and other correlation measures defined for single trajectories. Our results shed new light on fundamental issues regarding quantum synchronization providing new methods for its precise quantification. PACS numbers: 05.30.-d 03.67.-a 42.50.DvSynchronization is one of the most universal manifestations of emergent cooperative behavior, observed in a broad range of physical, chemical and biological systems [1,2]. It can be defined as the progressive adjustment of rhythms between oscillatory units due to their weak interaction and despite their different natural frequencies. Appealing examples with interesting applications comprise synchronization between hearth cardiac pacemaker cells [2], chaotic laser signals [3] or micromechanical oscillators [4][5][6].In the last decade, the interest on this paradigmatic phenomenon has been extended to the quantum realm, see e.g. [14][15][16][17][18][19][20][21][22][23]. Quantum mechanics plays a crucial role when exploring this phenomenon beyond the classical regime [24] and in relation to the degree of synchronization that systems can reach [11]. Quantum synchronization can be characterized with different outcomes [25] using local or global indicators in the system observables [24]. It has been shown that the emergence of this phenomenon is often connected to the generation of quantum correlations such as discord [9,10,[26][27][28] or entanglement [7,10,29,[31][32][33]. However, a universal relation between quantum correlations and synchronization is not expected in general, and thus whether quantum synchronization may be used for witnessing quantum correlations is still an open question. In addition, quantum synchronization may also find applications for probing spectral densities in natural or engineered environments [34,35].In classical systems, spontaneous synchronization is usually characterized through the trajectories in phasespace [2]. In contrast, measuring synchronization in open quantum systems becomes more challenging and different avenues have been explored. For instance, temporal correlations in local observables can be quantified by using the Pearson correlation coefficient [9] or global quantum correlations can be addressed through the synchronization error [11]. Quantitative measures of phase-locking based on the expectation values of different non-local correlators [11,16,18,36] have been proposed, but they are often not indicative of the underlying processes [37]. Finally, information measures of correlations like the mutual information [38] or have also been also employed. In all these approaches, synchronization is computed through the expectation values of different (local or global) obse...

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Enhanced Quantum Synchronization via Quantum Machine Learning

Cited by 12 publications

References 82 publications

Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field

Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field

Transient synchronization in open quantum systems

Synchronization along quantum trajectories

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