Josephson junctions in a local inhomogeneous magnetic field

Krasnov, Vladimir M.

doi:10.1103/physrevb.101.144507

Cited by 27 publications

(27 citation statements)

References 35 publications

(78 reference statements)

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“…The I c ( H ) distortion uniquely depends on the JPS and can be used for estimation of φ v . 29 , 44 …”

Section: Results and Discussionmentioning

confidence: 99%

“…Figure 1 i shows the I c ( H ) pattern after trapping an antivortex, Figure 1 f. Apparently, the trapped antivortex distorts I c ( H ), in good agreement with the simulation in Figure 1 g (red line), made for the similar geometry. The JPS can be estimated by numerical fitting of experimental I c ( H ) patterns, as described in refs ( 27 , 29 , and 44 ).…”

Section: Results and Discussionmentioning

confidence: 99%

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Reconfigurable Josephson Phase Shifter

et al. 2021

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Phase shifter is one of the key elements of quantum electronics. In order to facilitate operation and avoid decoherence, it has to be reconfigurable, persistent, and nondissipative. In this work, we demonstrate prototypes of such devices in which a Josephson phase shift is generated by coreless superconducting vortices. The smallness of the vortex allows a broad-range tunability by nanoscale manipulation of vortices in a micron-size array of vortex traps. We show that a phase shift in a device containing just a few vortex traps can be reconfigured between a large number of quantized states in a broad [−3π, +3π] range.

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“…The I c ( H ) distortion uniquely depends on the JPS and can be used for estimation of φ v . 29 , 44 …”

Section: Results and Discussionmentioning

confidence: 99%

Section: Results and Discussionmentioning

confidence: 99%

Reconfigurable Josephson Phase Shifter

et al. 2021

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“…In experiments, it often happens that the I – V is asymmetric with different positive and negative critical currents,

. This is typically due to the self-field effect, or junction inhomogeneity [ 20 , 21 ]. In such a case,

(

) in Equations (3) and (5) should be replaced by the mean value

.…”

Section: Results and Discussionmentioning

confidence: 99%

Accurate Determination of the Josephson Critical Current by Lock-In Measurements

et al. 2021

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Operation of Josephson electronics usually requires determination of the Josephson critical current Ic, which is affected both by fluctuations and measurement noise. Lock-in measurements allow obviation of 1/f noise, and therefore, provide a major advantage in terms of noise and accuracy with respect to conventional dc measurements. In this work we show both theoretically and experimentally that the Ic can be accurately extracted using first and third harmonic lock-in measurements of junction resistance. We derived analytical expressions and verified them experimentally on nano-scale Nb–PtNi–Nb and Nb–CuNi–Nb Josephson junctions.

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“…It is particular that the BSM is also reported theoretically in the mKdV-sG system describing few-optical-cycle solitons [11] under some approximation. The kink bounded states by fermions have been found in φ 4 , φ 6 and sG models [4]. Actually, this static multisoliton bound states are just the coherent state, or bounded state for the soliton solutions.…”

Section: Introductionmentioning

confidence: 84%

“…The sine-Gordon (sG) equation first arose in the theory of differential geometry and later is used to describle the charged particles in electromagentic field with characteritics coordinates [2], [3]. Also, sG equation arises widely in many physical systems, such as the kinks bounded by fermions [4], the onedimensional domain wall motion in biaxial ferromagnets [5], the propagtion of magnetic flux in Josephson-junction [6], [7], the problem of observer-based boundary control [8], the quantum field theories [9], etc. Due to its widely applicaitons, the sG equation has attracted great intersets in both physics M. JIA School of Physical Science and Technology, Ningbo University, Ningbo 315211, P. R. China E-mail: jiaman@nbu.edu.cn and mathematics.…”

Section: Introductionmentioning

confidence: 99%

Bounded states for breathers–soliton and breathers of sine–Gordon equation

Jia

2021

Nonlinear Dyn

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The Wronskians solutions to the sine-Gordon (sG) equation that can provide interaction of different kinds of solutions are revisited. A novel expression N-soliton solution with a nonzero background is presented which is used to construct the soliton and breather solutions. Due to the existences of abundant structures of the solitons and breathers, it is possible to search for the coherent structures, or bounded states of solitons and breathers. By introducing the velocity resonant conditions, the sG equation is proved to possess the bounded state for breathers-soliton, or breather-soliton molecules (BSMs) and the bounded state for breathers, or breather molecules (BMs) by different parameters selections. In addition, an approximately bounded state for solitons is demonstrated. The interesting thing is the interactions among the BSMs, BMs and solitons, breathers may be nonelastic by the particular meaning the sizes of the BSMs and BMs change.

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Josephson junctions in a local inhomogeneous magnetic field

Cited by 27 publications

References 35 publications

Reconfigurable Josephson Phase Shifter

Reconfigurable Josephson Phase Shifter

Accurate Determination of the Josephson Critical Current by Lock-In Measurements

Bounded states for breathers–soliton and breathers of sine–Gordon equation

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