Effective non-sinusoidal current-phase dependence in conventional d.c. SQUIDs

Romeo, Francesco; Luca, R. De

doi:10.1016/j.physleta.2004.06.061

Cited by 27 publications

(14 citation statements)

References 5 publications

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“…In the Josephson junction case, this role is played by an externally applied normalized magnetic flux Ψ ex , which appears as a second forcing term besides the bias current i B . In this way, in the case of a d. c. SQUID, where the two Josephson junctions are coupled by an interaction having analogous expression as in the case of the two pendulums studied, the resulting effective dynamical equation is written as follows [3] dφ dτ + cos (πΨ ex ) sin φ+…”

Section: Resultsmentioning

confidence: 99%

Strongly coupled overdamped pendulums

Luca¹

2008

Rev. Bras. Ensino Fís.

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Section: Resultsmentioning

confidence: 99%

Strongly coupled overdamped pendulums

Luca¹

2008

Rev. Bras. Ensino Fís.

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“…As far as d. c. SQUIDs are concerned, these systems can be analytically described by means of a single-junction model [6]. The elementary version of the single-junction model for a d. c. SQUID takes the inductance L of a single branch of the device to be negligible, so that β = LI J /Φ 0 ≈ 0, where Φ 0 is the elementary flux quantum and I J is the average value of the maximum Josephson currents of the junctions.…”

Section: Introductionmentioning

confidence: 99%

Equivalent Single-Junction Model of Superconducting Quantum Interference Devices in the Presence of Time-Varying Fields

Luca

2011

ISRN Condensed Matter Physics

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The reduced dynamical model of a two-junction quantum interference device is generalized to the case of time-varying externally applied fluxes with a d. c. component and an oscillating addendum whose frequency is comparable with the inverse of the characteristic time for flux dynamics within the superconducting system. From the resulting effective single-junction model for null inductance of the superconducting loop, it can be seen that the critical current of the device shows a dependence on the frequency and amplitude of the oscillating part of the applied flux. It can therefore be argued that the latter quantities can be considered as control parameters in the voltage versus applied flux curves of superconducting quantum interference devices.

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“…Following the same type of approach, by means of a perturbation analysis, taking β as the perturbation parameter, it can be shown that, to first order in β , the equivalent single junction model can be written as follows for a symmetric SQUID with identical junctions [6]:…”

Section: Introductionmentioning

confidence: 99%

Persistent currents in superconducting quantum interference devices

Romeo

Luca

2009

Physics Letters A

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Starting from the reduced dynamical model of a two-junction quantum interference device, a quantum analog of the system has been exhibited, in order to extend the well known properties of this device to the quantum regime. By finding eigenvalues of the corresponding Hamiltonian operator, the persistent currents flowing in the ring have been obtained. The resulting quantum analog of the overdamped two-junction quantum interference device can be seen as a supercurrent qubit operating in the limit of negligible capacitance and finite inductance. PACS: 74.50.+r, 85.25.Dq

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Effective non-sinusoidal current-phase dependence in conventional d.c. SQUIDs

Cited by 27 publications

References 5 publications

Strongly coupled overdamped pendulums

Strongly coupled overdamped pendulums

Equivalent Single-Junction Model of Superconducting Quantum Interference Devices in the Presence of Time-Varying Fields

Persistent currents in superconducting quantum interference devices

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