Fluxon interaction with the finite-size dipole impurity

Abstract

Interaction of the fluxon with the finite size dipole impurity in the long Josephson junction is investigated. The impurity has polarity and will be referred to as a {\it dipole} impurity because it also has a direction and, consequently, changes its sign under the space inversion transform $x\to -x$. Such a model is used to describe the inductively coupled to the Josephson transmission line qubit and the misaligned Abrikosov vortex that penetrates into the long Josephson junction. We derive the approximate equations of motion for the fluxon center of mass and its velocity. With the help of these equations we demonstrate that pinning and scattering of the fluxon on the impurity differs significantly from the case of the point impurity which is modelled by the derivative of the Dirac's $\delta$-function

arXiv comment7 figures; Phys. Lett. A (in press)

References in corpus (8)

• Rapid Ballistic Readout for Flux Qubits
• Fluxon readout of a superconducting qubit
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• Creation of classical and quantum fluxons by a current dipole in a long Josephson junction
• On norm resolvent convergence of Schrödinger operators with ${\delta }^{\prime }$-like potentials
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Cited by in corpus (1)

• BLUES iteration applied to nonlinear ordinary differential equations for wave propagation and heat transfer