2016
DOI: 10.1016/j.physleta.2015.06.055
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Quantum parameter identification for a chaotic atom ensemble system

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Cited by 11 publications
(4 citation statements)
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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%
“…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%
“…And the real parts of the eigenvalues are known as the Lyapunov exponents [42], if the maximal Lyapunov exponent is negative, the system is stable. Contrarily, the maximal Lyapunov exponent is positive indicates the system is unstable [43,44].…”
Section: Stability Of Systemmentioning
confidence: 99%
“…The majority of previous works considered such kind of synchronization of only expectation value in quantum system and the quantum fluctuation is neglected or regarded as disturbance in their schemes. 8,[15][16][17] Intuitively, an appropriate application of quantum synchronization is to provide an effective quantum correlation for quantum information processing (QIP). 18 Different from the applications of synchronization in other fields, quantum characteristics play the important role in QIP.…”
Section: Introductionmentioning
confidence: 99%
“…Up to now, quantum synchronization has been paid extensive attention in many physical systems, [7][8][9][10][11][12][13][14] but few works proposed it as a tool in view of applications. Recently, some effective attempts are presented to apply quantum synchronization in signal transmission, 15 parameter identification 16 and atomic clock. 8,17 Owing to Heisenberg uncertainty, 1 however, quantum effect appears to just take place a negative influence on synchronization behavior due to quantum fluctuation.…”
Section: Introductionmentioning
confidence: 99%