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AIP conference proceedings

Non-linear quantum mechanical ground state SQUID magnetometer dynamics

R. Whiteman, J. Diggins, Volker Schöllmann, Terrence D. Clark, Robert J. Prance, Helen Prance, Jason F. Ralph, M. J. Everitt

Published Jan 1, 1997• 0 citations
Publisher

Abstract

We consider the dynamical behavior of a coupled SQUID ring-tank circuit system when the ring is in its quantum mechanical ground state. As we show, the underlying quantum evolution of the ring generates a non-linear dynamics in the classical tank circuit. In this sense the SQUID ring-tank circuit is a model system for studying the quantum-classical interface.

DOI
10.1063/1.54234

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We consider the dynamical behavior of a coupled SQUID ring-tank circuit system when the ring is in its quantum mechanical ground state. As we show, the underlying quantum evolution of the ring generates a non-linear dynamics in the classical tank circuit. In this sense the SQUID ring-tank circuit is a model system for studying the quantum-classical interface.
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We explore the quantum-classical crossover of two coupled, identical, superconducting quantum interference device (SQUID) rings. We note that the motivation for this work is based on a study of a similar system comprising two coupled Duffing oscillators. In that work we showed that the entanglement characteristics of chaotic and periodic (entrained) solutions differed significantly and that in the classical limit entanglement was preserved only in the chaotic-like solutions. However, Duffing oscillators are a highly idealised toy model. Motivated by a wish to explore more experimentally realisable systems we now extend our work to an analysis of two coupled SQUID rings. We observe some differences in behaviour between the system that is based on SQUID rings rather than on Duffing oscillators. However, we show that the two systems share a common feature. That is, even when the SQUID ring's trajectories appear to follow (semi) classical orbits entanglement persists.