Observation of Soliton Fusion in a Josephson Array

Pfeiffer, J.; Schuster, Matthias; Abdumalikov, A. A.; Ustinov, A. V.

doi:10.1103/physrevlett.96.034103

Cited by 46 publications

(37 citation statements)

References 21 publications

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“…Here we show evidence that, for this type of array in the strong coupling regime, stable single and multiple flux-quanta propagation exists over broad bias current ranges. Our experiments also confirm predictions of the theoretical modeling of the complex dynamics of 2π kinks in the Frenkel-Kontorova model [9,[12][13][14][15][16][17]. Figure 1(a) displays a photo of a portion of the real device showing the open-ended [13] parallel array of small junctions.…”

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confidence: 80%

Experimental Study of Spectral Properties of a Frenkel-Kontorova System

et al. 2015

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We report on microwave emission from linear parallel arrays of underdamped Josephson junctions, which are described by the Frenkel-Kontorova (FK) model. Electromagnetic radiation is detected from the arrays when biased on current singularities (steps) appearing at voltages V n ¼ Φ 0 ðnc=LÞ, where Φ 0 ¼ 2.07 × 10 −15 Wb is the magnetic flux quantum, andc, L, and n are, respectively, the speed of light in the transmission line embedding the array, L its physical length, and n an integer. The radiation, detected at fundamental frequencyc=2L when biased on different singularities, indicates shuttling of bunched 2π kinks (magnetic flux quanta). Resonance of flux-quanta motion with the small-amplitude oscillations induced in the arrays gives rise to fine structures in the radiation spectrum, which are interpreted on the basis of the FK model describing the resonance. The impact of our results on design and performances of new digital circuit families is discussed. The physics of single flux quanta, or fluxons, (corresponding to 2π kinks of the superconducting phase difference φ) in spatially extended Josephson junctions structures has attracted the attention of the scientific community since the early stages of the research on weak superconductivity [1,2]. Fluxon dynamics served as a relevant experimental test bench for soliton perturbation theory and nonlinear physics [3]. The features of topological kinks in the discrete, nonintegrable, FrenkelKontorova model [4,5], implemented by a chain of pointlike Josephson junctions connected by inductors to form a one-dimensional (1D) array, has also attracted attention due to the interest for the dynamics of solitons in condensed matter physics [6]. On the practical side, the storage and manipulation of flux quanta in Josephson transmission lines (JTLs) [7] is the physical phenomenon underlying the principles of a successful logic family operating at unprecedented clock frequencies [8].Recently, new low-dissipative logic families, still relying on Josephson flux quanta as carriers of bits of information [9][10][11], have been proposed. One of the new logic families [9] relies on moving flux quanta along 1D underdamped arrays in which the Josephson junctions are strongly coupled by inductors along the flux-quanta propagation direction. Here we show evidence that, for this type of array in the strong coupling regime, stable single and multiple flux-quanta propagation exists over broad bias current ranges. Our experiments also confirm predictions of the theoretical modeling of the complex dynamics of 2π kinks in the Frenkel-Kontorova model [9,[12][13][14][15][16][17]. Figure 1(a) displays a photo of a portion of the real device showing the open-ended [13] parallel array of small junctions. The electrodes forming the array of junctions are part of the central conductor of a coplanar waveguide allowing radiation detection. The junctions were windowlike fabricated using the standard Nb-AlO x -Nb trilayer technology [18,19] and had a current density of 110 A=cm 2 . The measurements ...

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Experimental Study of Spectral Properties of a Frenkel-Kontorova System

et al. 2015

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“…Solitons (or solitary waves) are present in a wide range of physics such as optics [1,2], superconducting Josephson junction arrays [3,4,5], particle and nuclear physics [6,7], condensed matter physics [8,9,10,11,12,13,14,15], and many others [16,17,18,19]. They are robust with respect to small perturbations, they can travel long distances maintaining their shape, and survive collisions with each other.…”

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confidence: 99%

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

2018

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Abstract. In our recent study the maximal values of kinetic and potential energy densities that can be achieved in the collisions of N slow kinks in the sine-Gordon model were calculated analytically (for N = 1, 2, and 3) and numerically (for 4 ≤ N ≤ 7). However, for many physical applications it is important to know not only the total potential energy density but also its two components (the on-site potential energy density and the elastic strain energy density) as well as the extreme values of the elastic strain, tensile (positive) and compressive (negative). In the present study we give (i) the two components of the potential energy density and (ii) the extreme values of elastic strain. Our results suggest that in multisoliton collisions the main contribution to the potential energy density comes from the elastic strain, but not from the on-site potential. It is also found that tensile strain is usually larger than compressive strain in the core of multi-soliton collision.PACS. 05.45.Yv Solitons -11.10.Lm Nonlinear or nonlocal theories and models -45.50.Tn Collisions

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“…It has been demonstrated both theoretically [8,12,14,35] and experimentally [37] that the radiationless motion of the coupled state of several solitons is possible for the selected set of their velocities. This phenomenon has been treated analytically in the quasi-continuum approximation in Refs.…”

Section: Discussionmentioning

confidence: 99%

Embedded soliton dynamics in the asymmetric array of Josephson junctions

Starodub

Zolotaryuk

2017

Low Temperature Physics

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The dc-biased annular array of three-junction asymmetric superconducting quantum interference devices (SQUIDs) is investigated. The existence of embedded solitons (solitons that exist despite the resonance with the linear waves) is demonstrated both in the unbiased Hamiltonian limit and in the dc-biased and damped case on the current-voltage characteristics (CVCs) of the array. The existence diagram on the parameter plane is constructed. The signatures of the embedded solitons manifest themselves as inaccessible voltage intervals on the CVCs. The upper boundary of these intervals is proportional to the embedded soliton velocity.

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Observation of Soliton Fusion in a Josephson Array

Cited by 46 publications

References 21 publications

Experimental Study of Spectral Properties of a Frenkel-Kontorova System

Experimental Study of Spectral Properties of a Frenkel-Kontorova System

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Embedded soliton dynamics in the asymmetric array of Josephson junctions

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