Abstract
In this paper we consider a system comprising a highly hysteretic, single Josephson weak link SQUID ring (i.e. where 2πL s I c/Φ 0 ≫ 1 for a SQUID ring inductance L s and weak link critical current I c with Φ 0 = h/2e) coupled to an finite quality factor LC parallel resonator (tank circuit), the schematic of which is shown in Fig. 1. The non-linear dynamics of this system has been the subject of a great deal of interest both for the quantum and classical operational regimes (see for example [1–3]). In this paper we confine ourselves to the semi-classical Resistively Shunted Junction plus Capacitance (RSJ+C) model of the SQUID ring [4]. For such a SQUID ring-tank circuit system, where the tank circuit is driven by a current I in, the equations of motion are
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References
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Stiffell, P., Everitt, M., Clark, T., Bulsara, A., Ralph, J. (2006). A SQUID Ring-Resonator Finate State Machine. In: Baglio, S., Bulsara, A. (eds) Device Applications of Nonlinear Dynamics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33878-0_12
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DOI: https://doi.org/10.1007/3-540-33878-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33877-2
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