Quantum circuit analog of the dynamical Casimir effect

Toshiyuki Fujii, Shigemasa Matsuo, Noriyuki Hatakenaka, Susumu Kurihara, Anton Zeilinger

    Research output: Contribution to journalArticle

    40 Citations (Scopus)

    Abstract

    We investigate a quantum-circuit analog of the dynamical Casimir effect discussed in cavity quantum electrodynamics (QED). A double superconducting quantum interference device (SQUID), consisting of a superconducting loop interrupted by a dc-SQUID, is regarded as a harmonic oscillator with a time-dependent frequency imitating the nonadiabatic boundaries in a cavity QED. Squeezing occurs due to parametric processes inherent in the system. We reformulate squeezing based on the Bogoliubov transformation between eigenstates at different times and derive the analytic formula for quantum-state evolutions of the system. The squeezing parameter clearly reveals the relationship between squeezing and nonadiabatic nature of the system. Thus, the squeezing parameter serves as a measure for the dynamical Casimir effect. We demonstrate squeezing for two types of frequency modulation and propose a method for measuring squeezing by using a circuit QED technique under coherent oscillations between an artificial atom and an LC circuit in the presence of dissipation. These observations suggest that a quantum circuit with a Josephson junction is a promising candidate for detecting the dynamical Casimir effect.

    Original languageEnglish
    Article number174521
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume84
    Issue number17
    DOIs
    Publication statusPublished - 2011 Nov 23

    Fingerprint

    analog circuits
    compressing
    Electrodynamics
    Networks (circuits)
    SQUIDs
    quantum electrodynamics
    Frequency modulation
    LC circuits
    interference
    cavities
    Atoms
    Josephson junctions
    frequency modulation
    harmonic oscillators
    eigenvectors
    dissipation
    oscillations
    atoms

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Electronic, Optical and Magnetic Materials

    Cite this

    Quantum circuit analog of the dynamical Casimir effect. / Fujii, Toshiyuki; Matsuo, Shigemasa; Hatakenaka, Noriyuki; Kurihara, Susumu; Zeilinger, Anton.

    In: Physical Review B - Condensed Matter and Materials Physics, Vol. 84, No. 17, 174521, 23.11.2011.

    Research output: Contribution to journalArticle

    Fujii, Toshiyuki ; Matsuo, Shigemasa ; Hatakenaka, Noriyuki ; Kurihara, Susumu ; Zeilinger, Anton. / Quantum circuit analog of the dynamical Casimir effect. In: Physical Review B - Condensed Matter and Materials Physics. 2011 ; Vol. 84, No. 17.
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    AU - Zeilinger, Anton

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