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

In: Macroscopic Quantum Coherence and Quantum Computing

Author

Listed:
  • 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)

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.

Suggested Citation

  • A. Vourdas & A. Konstadopoulou & J. M. Hollingworth, 2001. "Dual Josephson Phenomena: Interaction of Vortices with Non-Classical Microwaves," Springer Books, in: Dmitri V. Averin & Berardo Ruggiero & Paolo Silvestrini (ed.), Macroscopic Quantum Coherence and Quantum Computing, pages 245-252, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1245-5_25
    DOI: 10.1007/978-1-4615-1245-5_25
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