Quantum chimera states

Viennot, David; Aubourg, Lucile

doi:10.1016/j.physleta.2015.11.022

Cited by 15 publications

(8 citation statements)

References 26 publications

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“…[36] it was shown that pure dephasing is not able to generate synchronization. The formation of Chimera states was discussed in [37] considering an extended spin chain described by a non-Hermitian Hamiltonian. In Ref.…”

Section: Spin Modelsmentioning

confidence: 99%

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Quantum Correlations and Synchronization Measures

Galve¹,

Giorgi²,

Zambrini³

2017

Quantum Science and Technology

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The phenomenon of spontaneous synchronization is universal and only recently advances have been made in the quantum domain. Being synchronization a kind of temporal correlation among systems, it is interesting to understand its connection with other measures of quantum correlations. We review here what is known in the field, putting emphasis on measures and indicators of synchronization which have been proposed in the literature, and comparing their validity for different dynamical systems, highlighting when they give similar insights and when they seem to fail.arXiv:1610.05060v2 [quant-ph]

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Section: Spin Modelsmentioning

confidence: 99%

“…It was put in relation with synchronization of chimera states in Ref. [37] in the case of a closed spin chain.…”

Section: Mutual Information and Other Information-based Correlationsmentioning

confidence: 99%

Quantum Correlations and Synchronization Measures

Galve¹,

Giorgi²,

Zambrini³

2017

Quantum Science and Technology

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“…Issues that were addressed include transient behaviors associated with chimera states [13][14][15], the effects of time delay [7,10,35], phase lags [18], coupling functions [22][23][24], and the impacts of random perturbation and complex topology of coupling [19,25,33,37]. Experimentally, chimera states have been observed in a system of chemical oscillators [20,26,43], in an optical system [21,45], in coupled mechanical oscillators [27], in electrochemical systems [28,32], and even in quantum systems [44,57]. Natural phenomena associated * huangzg@xjtu.edu.cn with chimera states include unihemispheric sleep [58,59], neural spikes [60,61], and possibly ventricular fibrillations [62].…”

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confidence: 99%

Self-adaptation of chimera states

et al. 2019

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Chimera states in spatiotemporal dynamical systems have been investigated in physical, chemical, and biological systems, and have been shown to be robust against random perturbations. How do chimera states achieve their robustness? We uncover a self-adaptation behavior by which, upon a spatially localized perturbation, the coherent component of the chimera state spontaneously drifts to an optimal location as far away from the perturbation as possible, exposing only its incoherent component to the perturbation to minimize the disturbance. A systematic numerical analysis of the evolution of the spatiotemporal pattern of the chimera state towards the optimal stable state reveals an exponential relaxation process independent of the spatial location of the perturbation, implying that its effects can be modeled as restoring and damping forces in a mechanical system and enabling the articulation of a phenomenological model. Not only is the model able to reproduce the numerical results, it can also predict the trajectory of drifting. Our finding is striking as it reveals that, inherently, chimera states possess a kind of "intelligence" in achieving robustness through self adaptation. The behavior can be exploited for controlled generation of chimera states with their coherent component placed in any desired spatial region of the system.

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“…In recent years, many studies on the effect of long-range interactions have been carried out on different approaches [40] , [41] . It has been shown that long-range interactions have effects on calcium-wave propagation [42] or on chimera patterns [43] , [44] . We will also study the difference between the dynamics of coupled oscillators [45] and coupled excitable neurons.…”

Section: Introductionmentioning

confidence: 99%

Long-range interaction effects on coupled excitable nodes: traveling waves and chimera state

Soh

Tchitnga

Woafo

2021

Heliyon

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In this paper, analytical and numerical studies of the influence of the long-range interaction parameter on the excitability threshold in a ring of FitzHugh-Nagumo (FHN) system are investigated. The long-range interaction is introduced to the network to model regulation of the Gap junctions or hemichannels activity at the connexins level, which provides links between pre-synaptic and post-synaptic neurons. Results show that the long-range coupling enhances the range of the threshold parameter. We also investigate the long-range effects on the network dynamics, which induces enlargement of the oscillatory zone before the excitable regime. When considering bidirectional coupling, the long-range interaction induces traveling patterns such as traveling waves, while when considering unidirectional coupling, the long-range interaction induces multi-chimera states. We also studied the difference between the dynamics of coupled oscillators and coupled excitable neurons. We found that, for the coupled system, the oscillation period decreases with the increasing of the coupling parameter. For the same values of the coupling parameter, the oscillation period of the Oscillatory dynamics is greater than the oscillation period of the excitable dynamics. The analytical approximation shows good agreement with the numerical results.

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Quantum chimera states

Cited by 15 publications

References 26 publications

Quantum Correlations and Synchronization Measures

Quantum Correlations and Synchronization Measures

Self-adaptation of chimera states

Long-range interaction effects on coupled excitable nodes: traveling waves and chimera state

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