Solitons in Josephson junctions

doi:10.1016/S0167-2789(98)00131-6

Physica D: Nonlinear Phenomena

Volume 123, Issues 1–4, 15 November 1998, Pages 315-329

This paper is dedicated to the memory of Bob Parmentier

https://doi.org/10.1016/S0167-2789(98)00131-6 Get rights and content

Abstract

Magnetic flux quanta in Josephson junctions, often called fluxons, in many cases behave as solitons. A review of recent experiments and modelling of fluxon dynamics in Josephson circuits is presented. Classic quasi-one-dimensional junctions, stacked junctions (Josephson superlattices), and discrete Josephson transmission lines (JTLs) are discussed. Applications of fluxon devices as high-frequency oscillators and digital circuits are also addressed.

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Citation Excerpt :
This nonlinear hyperbolic partial differential equation appears in a wide range of research fields [2–6], and it is typically regarded as one of the three fundamental soliton equations, the others being the Korteweg–de Vries equation and the nonlinear Schrödinger equation [7,8]. As a result, the LJJ has become a prototypal solid-state device for the exploration of soliton dynamics [9,10]. More precisely, perturbative correction terms to the pure SG equation arise when the effects of dissipation, an external current source, and thermal fluctuations are included to properly model the response of a realistic junction.
The emergence of traveling sine-Gordon breathers due to the nonlinear supratransmission effect is theoretically studied in a long Josephson junction driven by suitable magnetic pulses, taking into account the presence of dissipation, a current bias, and a thermal noise source. The simulations clearly indicate that, depending on the pulse’s shape and the values of the main system parameters, such a configuration can effectively yield breather excitations only. Furthermore, a nonmonotonic behavior of the breather-only generation probability is observed as a function of the noise intensity. Finally, the dynamics of the supratransmission-induced breathers is characterized by looking at quantities such as their radiative decay lifetime and the medium’s energy.

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Solitons in Josephson junctions

Abstract

Sol. St. Commun.

Phys. Lett. A

Phys. Lett. A

Phys. Rev. B

J. Appl. Phys.

Phys. Rev. B.

Phys. Rev. A

Supercond. Sci. Technol.

Phys. Rev. Lett.

Phys. Rev. B

IEEE Trans. Appl. Supercond.

Phys. Rev. B

J. Appl. Phys.

IEEE Trans. Appl. Supercond.

Phys. Rev. Lett.

Phys. Rev. Lett.

J. Appl. Phys.

Phys. Rev. B

Phys. Rev. B

J. Appl. Physics

Pis'ma Zh. Eksp. Teor. Fiz.

Sov. Phys. JETP Lett.

Appl. Phys. Lett.

Phys. Rev. Lett.

Phys. Rev. B

Physica B

Phys. Rev. B

J. Appl. Phys.

Phys. Rev. B

Sov. Phys. JETP

Phys. Rev. B

J. Low Temp. Phys.

Phys. Scripta

Phys. Rev. Lett.

J. Appl. Phys.

J. Appl. Phys.

J. Appl. Phys.

J. Appl. Phys.

IEEE Trans. Appl. Supercond.

Appl. Phys. Lett.

Phys. Rev. B

Phys. Rev. B

Phys. Rev. Lett.

Phys. Rev. B

Phys. Rev. B

Phys. Rev. Lett.

J. Appl. Phys.

Phys. Rev. B

Phys. Rev. B