Nonlinear internal dynamics of the double-sine-Gordon soliton

Burdick, S.; Willis, C. R.; El‐Batanouny, M.

doi:10.1103/physrevb.36.6920

Cited by 11 publications

(3 citation statements)

References 27 publications

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“…However, it is possible to find a topologically stable 2π-kink solution for a range of parameter η, i.e., η > −1/4. For η ≥ 0, the 2π-kink solution can be constructed by a superposition of π-kink solutions when η → ∞, i.e., φ π (x) = 2 tan −1 exp(x) [9,10,11,12], and expressed as…”

Section: Double Sine-gordon Equation For Long Sfs Junctionmentioning

confidence: 99%

“…With a dynamical π-π kink pair, these two energies compete in time, resulting in a new type of dynamics. The π-π kink pair exhibits an internal oscillation related to the relative oscillations of two π kinks around the equilibrium separation [9,10,11,12]. It has been shown that the frequency of the π-π kink oscillation is below the lower edge of the continuum phonon band [10,13].…”

Section: Double Sine-gordon Equation For Long Sfs Junctionmentioning

confidence: 99%

“…It is known that the dynamics of the π-π kink oscillation is well described by a single degree of freedom, namely, the separation between the π kinks, 2R, when the equilibrium separation, R 0 , is sufficiently large [10,11,12]. We assume the solution to DSGE in the form…”

Section: Collective Coordinate For π-π Kink Oscillationmentioning

confidence: 99%

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Mobile fluxon qubits in a long superconductor-ferromagnet-superconductor Josephson junction

Nishida

Fujii

Hatakenaka

2008

J. Phys.: Conf. Ser.

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Abstract. We propose a new type of mobile qubit that utilizes a bound pair of half fluxons in a long superconductor-ferromagnet-superconductor (SFS) Josephson junction. The qubit states are composed of the lowest two levels of the quantized nonlinear internal oscillation of the bound pair. The energy levels are estimated by the numerical quantization based on a collective coordinate method. The qubit operation scheme is discussed, showing an estimate of the interaction strength between a bound pair and a microcircuit. IntroductionA quantum computer is an innovative computer based on the principles of quantum mechanics. The fundamental unit of a quantum computer is a qubit, which is a quantum-mechanical superposition state of a two-state system. As regards solid-state qubits, the precise mechanism providing control of the interaction between an arbitrary pair of qubits remains unresolved. To overcome this problem, we proposed a mobile qubit [1, 2] using breather excitation in a conventional long Josephson junction. However, a breather is fragile with respect to background perturbations. In particular, a breather can disappear through energy loss with dissipation, because it is topologically equivalent to a vacuum. This feature makes it difficult to prepare the initial |0 state needed for quantum computing.Here we propose a new type of mobile qubit that utilizes a bound pair of half fluxons in a long superconductor-ferromagnet-superconductor (SFS) Josephson junction. Transitions between usual (0) and π junction states have been demonstrated in SFS junctions as a function of temperature [3] and barrier thickness [4]. The π junction state is characterized by a ground state at a phase difference of π. In the vicinity of the crossover between the 0 and π states, the second harmonic term in the current-phase relation is expected to dominate [5,6,7,8]. This term would modify the electrodynamics of long SFS junctions, and the propagation of fluxons would be governed by the double sine-Gordon equation (DSGE) instead of the sine-Gordon equation that governs usual long junctions. Since a 2π kink in the double sine-Gordon system splits into two π kinks (half fluxons) and forms a bound pair with nonlinear internal oscillation modes (called π-π kink oscillation), the bound-half-fluxon pair in long SFS junctions can carry

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Section: Double Sine-gordon Equation For Long Sfs Junctionmentioning

confidence: 99%

Section: Double Sine-gordon Equation For Long Sfs Junctionmentioning

confidence: 99%

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Mobile fluxon qubits in a long superconductor-ferromagnet-superconductor Josephson junction

Nishida

Fujii

Hatakenaka

2008

J. Phys.: Conf. Ser.

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Soliton excitations in the classical one‐dimensional antiferromagnet in a staggered field

Cassino

Pires

1992

Physica Status Solidi (b)

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Soliton excitations in an easy-plane classical one-dimensional antiferromagnet in the presence of a staggered magnetic field transverse to the chain direction are studied. The out-of-plane soliton solution is found to have an instability similar to the one found before by Magyari-Thomas-Kumar for the easy-plane ferromagnetic chain in an external magnetic field. Also studied are the soliton stability and the phase shift of spin waves in the presence of the soliton.Soliton-Anregungen in einem klassischen eindimensionalen Antiferromagneten mit leichter Ebene in einem gezackten Magnetfeld senkrecht zur Kettenrichtung werden untersucht. Die nichtebene SolitonLosung weist eine Instabilitat auf, ahnlich der von Magyar-Thomas-Kumar fur eine ferromagnetische Kette mit leichter Ebene im Magnetfeld gefundene. Weiterhin werden die Solitonenstabilitat und die Phasenverschiebung der Spinwellen in Anwensenheit des Soliton betrachtet.

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Dynamics and kinetics of solitons in the driven damped double Sine-Gordon equation

Malomed¹

1989

Physics Letters A

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Nonlinear internal dynamics of the double-sine-Gordon soliton

Cited by 11 publications

References 27 publications

Mobile fluxon qubits in a long superconductor-ferromagnet-superconductor Josephson junction

Mobile fluxon qubits in a long superconductor-ferromagnet-superconductor Josephson junction

Soliton excitations in the classical one‐dimensional antiferromagnet in a staggered field

Dynamics and kinetics of solitons in the driven damped double Sine-Gordon equation

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