The signal synchronization transmission among uncertain discrete networks with different nodes

Lü, Ling; Li, Chengren; Liu, Shuo; Wang, Zhouyang; Tian, Jing; Gu, Jiajia

doi:10.1007/s11071-015-2030-4

Cited by 16 publications

(4 citation statements)

References 21 publications

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“…The real parts of above eigenvalues are also known as the Lyapunov exponents of this nonlinear dynamical system 37 38 39 . Whether the system is stable or not can be judged by comparing the largest Lyapunov exponent with zero 38 40 . Equation (5) implies that if J > ( κ + γ )/4, the second terms in λ 3,4,5,6 will be pure imaginary numbers.…”

Section: Resultsmentioning

confidence: 99%

Parity-time-symmetry enhanced optomechanically-induced-transparency

Jiang

et al. 2016

Sci Rep

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We propose and analyze a scheme to enhance optomechanically-induced-transparency (OMIT) based on parity-time-symmetric optomechanical system. Our results predict that an OMIT window which does not exist originally can appear in weak optomechanical coupling and driving system via coupling an auxiliary active cavity with optical gain. This phenomenon is quite different from these reported in previous works in which the gain is considered just to damage OMIT phenomenon even leads to electromagnetically induced absorption or inverted-OMIT. Such enhanced OMIT effects are ascribed to the additional gain which can increase photon number in cavity without reducing effective decay. We also discuss the scheme feasibility by analyzing recent experiment parameters. Our work provide a promising platform for the coherent manipulation and slow light operation, which has potential applications for quantum information processing and quantum optical device.

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Section: Resultsmentioning

confidence: 99%

Parity-time-symmetry enhanced optomechanically-induced-transparency

Jiang

et al. 2016

Sci Rep

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“…A large corpus of linear and non-linear system dynamics theory is based on the evaluation of an error figure, as as in tracking systems, where the error measures the discrepancy between the actual system state and its predicted value [18,33], in leader/follower system synchronization, where the error measures the deviation between the state of the leader and the state of the follower [19,20], in system state observation, where the error quantifies the m Figure 1. A mass-spring-damper system disagreement between the actual state of the observed system and the estimated state by an observer [10,17,30], and in system control/regulation, where the error measures the incongruity between the actual state of a system and its desired value (or set point) and provides a feedback information to the controller.…”

Section: Motivation Of the Present Researchmentioning

confidence: 99%

Error-based control systems on Riemannian state manifolds: Properties of the principal pushforward map associated to parallel transport

Fiori¹

2021

Mathematical Control &Amp; Related Fields

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The objective of the paper is to contribute to the theory of errorbased control systems on Riemannian manifolds. The present study focuses on system where the control field influences the covariant derivative of a control path. In order to define error terms in such systems, it is necessary to compare tangent vectors at different points using parallel transport and to understand how the covariant derivative of a vector field along a path changes after such field gets parallely transported to a different curve. It turns out that such analysis relies on a specific map, termed principal pushforward map. The present paper aims at contributing to the algebraic theory of the principal pushforward map and of its relationship with the curvature endomorphism of a state manifold.

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“…1 In the last decade, synchronization idea has been widely applied in the fields of control and communication, [2][3][4][5] which urges people to search for similar phenomena in quantum regime. Among them, a pioneering and significant progress is that Mari et al 6 extended the concept of complete synchronization into continuous variable (CV) quantum system and characterized it by a quantitative measure.…”

Section: Introductionmentioning

confidence: 99%

“…Synchronization is one of the most intriguing and valuable phenomena in classical physics and its history can be traced back to the observation of two pendulum clocks by Huygens in the 17th century. 1 In the last decade, synchronization idea has been widely applied in the fields of control and communication, [2][3][4][5] which urges people to search for similar phenomena in quantum regime. Among them, a pioneering and significant progress is that Mari et al 6 extended the concept of complete synchronization into continuous variable (CV) quantum system and characterized it by a quantitative measure.…”

Section: Introductionmentioning

confidence: 99%

Quantum synchronization and quantum state sharing in an irregular complex network

Song

2017

Phys. Rev. E

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We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the topology is varying. Considering a channel constructed by quantum correlation, we show that quantum synchronization can sustain and maintain high levels in Markovian dissipation for a long time. We analyze state sharing process between two typical complex networks, that is, a small-world network corresponding to linear motif state sharing and a scale-free network corresponding to whole network sharing, respectively. Our results predict that linked nodes can be directly synchronized in small-world network, but the whole network will be synchronized only if some specific synchronization conditions are satisfied. Furthermore, we give the synchronization conditions analytically through analyzing network dynamics. This proposal paves the way for studying multi-interaction synchronization and achieving an effective quantum information processing in complex network.

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The signal synchronization transmission among uncertain discrete networks with different nodes

Cited by 16 publications

References 21 publications

Parity-time-symmetry enhanced optomechanically-induced-transparency

Parity-time-symmetry enhanced optomechanically-induced-transparency

Error-based control systems on Riemannian state manifolds: Properties of the principal pushforward map associated to parallel transport

Quantum synchronization and quantum state sharing in an irregular complex network

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