Dual Josephson Phenomena: Interaction of Vortices with Non-Classical Microwaves

A. Vourdas (), A. Konstadopoulou () and J. M. Hollingworth ()
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A. Vourdas: The University of Liverpool, Department of Electrical Engineering and Electronics
A. Konstadopoulou: The University of Liverpool, Department of Electrical Engineering and Electronics
J. M. Hollingworth: The University of Liverpool, Department of Electrical Engineering and Electronics

A chapter in Macroscopic Quantum Coherence and Quantum Computing, 2001, pp 245-252 from Springer

Abstract: Abstract A ring made from a Josephson array in the insulating phase and a weak link (eg a constriction) is considered. The center of the ring is fed by a current I(t) and contains a time-dependent charge Q(t). Vortices circulate the ring and tunnel through the weak link. At frequencies where ħω > > K B T the quantum nature of the electromagnetic field is taken into account. A two-mode Hamiltonian is studied which describes quantum mechanically both the ring and the electromagnetic field. The sinusoidal non-linearity in this Hamiltonian leads to interesting quantum phenomena like entanglement between the ring and the electromagnetic field, squeezing of the elctromagnetic field, etc. The use of such non- linear devices as amplifiers and frequency converters of non-classical microwaves is discussed.

Keywords: vortices; Josephson arrays; sinusoidal non-linearity; non-classical microwaves (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4615-1245-5_25

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