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Synchronisation in coupled quantum Hamiltonian superconducting oscillator via a control potential

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  • Al-Khawaja, Sameer

Abstract

This paper presents chaos synchronisation in a SQUID device mutually coupled to a resonant LC classical circuit. Via the Hamiltonian of the coupled quantum-classical system and by means of a “control potential” in the form of a double-well, measure synchronisation has been found to exist. A transition from quasi-periodic to chaotically synchronised orbits in the phase space has been observed, as the strength of coupling is increased between both oscillators. The system reaches a non-synchronised state if the choice of the control potential were to render both oscillators non-identical.

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  • Al-Khawaja, Sameer, 2009. "Synchronisation in coupled quantum Hamiltonian superconducting oscillator via a control potential," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1415-1421.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1415-1421
    DOI: 10.1016/j.chaos.2009.03.059
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    References listed on IDEAS

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    1. Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2007. "Chaos synchronization in RCL-shunted Josephson junction via active control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 105-111.
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    Cited by:

    1. Singh, Piyush Pratap & Roy, Binoy Krishna, 2022. "Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Pechen, Alexander N. & Borisenok, Sergey & Fradkov, Alexander L., 2022. "Energy control in a quantum oscillator using coherent control and engineered environment," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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