Collective Josephson vortex dynamics in long Josephson junction stacks

Kim, Ju H.; Pokharel, J.

doi:10.1016/s0921-4534(02)02015-4

Cited by 29 publications

(8 citation statements)

References 53 publications

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“…The electrodynamics of layered superconductors is described by nonlinear coupled sine-Gordon equations 1,[6][7][8][9][10] . This nonlinearity originates from the nonlinear relation J ∝ sin ϕ between the Josephson interlayer current J and the gauge-invariant interlayer phase difference ϕ of the order parameter.…”

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confidence: 99%

Self-induced tunable transparency in layered superconductors

et al. 2010

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We predict a novel nonlinear electromagnetic phenomenon in layered superconducting slabs irradiated from one side by an electromagnetic plane wave. We show that the reflectance and transmittance of the slab can vary over a wide range, from nearly zero to one, when changing the incident wave amplitude. Thus changing the amplitude of the incident wave can induce either the total transmission or reflection of the incident wave. In addition, the dependence of the superconductor transmittance on the incident wave amplitude has an unusual hysteretic behavior with jumps. This remarkable nonlinear effect (self-induced transparency) can be observed even at small amplitudes, when the wave frequency ω is close to the Josephson plasma frequency ωJ .

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confidence: 99%

Self-induced tunable transparency in layered superconductors

et al. 2010

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“…Since both Josephson plasma waves and Josephson vortices have a common nature and can be described by the same set of equations, called coupled sine-Gordon equations [37,[47][48][49][50][51][52][53][54], the Josephson vortex motion strongly couples to the plasma waves. As a result, Josephson plasma waves can be excited by the motion of Josephson vortices.…”

Section: A Cherenkov Radiation From Moving Josephson Vorticesmentioning

confidence: 99%

Terahertz Josephson plasma waves in layered superconductors: spectrum, generation, nonlinear and quantum phenomena

et al. 2010

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The recent growing interest in terahertz (THz) and sub-THz science and technology is due to its many important applications in physics, astronomy, chemistry, biology, and medicine, including THz imaging, spectroscopy, tomography, medical diagnosis, health monitoring, environmental control, as well as chemical and biological identification. We review the problem of linear and nonlinear THz and sub-THz Josephson plasma waves in layered superconductors and their excitations produced by moving Josephson vortices. We start by discussing the coupled sine-Gordon equations for the gauge-invariant phase difference of the order parameter in the junctions, taking into account the effect of breaking the charge neutrality, and deriving the spectrum of Josephson plasma waves.We also review surface and waveguide Josephson plasma waves. The spectrum of these waves is presented, and their excitation is discussed. We review the propagation of weakly nonlinear Josephson plasma waves below the plasma frequency, ω J , which is very unusual for plasma-like excitations.In close analogy to nonlinear optics, these waves exhibit numerous remarkable features, including a self-focusing effect, and the pumping of weaker waves by a stronger one. In addition, an unusual stop-light phenomenon, when ∂ω/∂k ≈ 0, caused by both nonlinearity and dissipation, can be observed in the Josephson plasma waves. At frequencies above ω J , the current-phase nonlinearity can be used for transforming continuous sub-THz radiation into short, strongly amplified, pulses.We also present quantum effects in layered superconductors, specifically, the problem of quantum MQT -macroscopic quantum tunnelling.z-axis is directed across the layers; y-axis is directed along the magnetic field.4

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“…The effects of resonant cavity on the fluxon dynamics in LJJ stacks [15][16][17] have been studied both experimentally 18,19 and theoretically. [20][21][22] These studies show that when the coupling between LJJ and resonant cavity is spatially uniform, no force is exerted on the fluxon by the cavity, but its dynamics may become modified.…”

Section: Introductionmentioning

confidence: 99%

“…Earlier studies on the effects of resonant cavity indicate 12,13 that both electric and magnetic fields of the cavity couple to the Josephson junction since the cavity electromagnetic (EM) mode behaves similar to a phonon mode 14 which interacts with the fluxon. The effects of resonant cavity on the fluxon dynamics in LJJ stacks [15][16][17] have been studied both experimentally 18,19 and theoretically. [20][21][22] These studies show that when the coupling between LJJ and resonant cavity is spatially uniform, no force is exerted on the fluxon by the cavity, but its dynamics may become modified.…”

Section: Introductionmentioning

confidence: 99%

Effects of a resonant cavity on macroscopic quantum tunneling of fluxons in long Josephson junctions

Kim

Dhungana

2011

Phys. Rev. B

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We investigate the effects of high-Qc resonant cavity on macroscopic quantum tunneling (MQT) of fluxon both from a metastable state to continuum and from one degenerate ground-state of a double-well potential to the other. By using a set of two coupled perturbed sine-Gordon equations, we describe the tunneling processes in linear long Josephson junctions (LJJs) and find that MQT in the resonant cavity increases due to potential renomalization, induced by the interaction between the fluxon and cavity. Enhancement of the MQT rate in the weak-coupling regime is estimated by using the experimantally accessible range of the model parameters. The tunneling rate from the metastable state is found to increase weakly with increasing junction-cavity interaction strength. However, the energy splitting between the two degenerate ground-states of the double-well potential increases significantly with increasing both the interaction strength and frequency of the resonant cavity mode. Finally, we discuss how the resonant cavity may be used to tune the property of Josephson vortex quantum bits.

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Collective Josephson vortex dynamics in long Josephson junction stacks

Cited by 29 publications

References 53 publications

Self-induced tunable transparency in layered superconductors

Self-induced tunable transparency in layered superconductors

Terahertz Josephson plasma waves in layered superconductors: spectrum, generation, nonlinear and quantum phenomena

Effects of a resonant cavity on macroscopic quantum tunneling of fluxons in long Josephson junctions

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