Dark solitons in ferromagnetic chains with first- and second-neighbor interactions

Primatarowa, M. T.; Kamburova, R. S.

doi:10.2478/s11534-012-0118-8

Cited by 2 publications

(1 citation statement)

References 24 publications

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“…Solitons are collective excitations that emerge in a variety of nonlinear systems spanning all branches of physics, such as optical fibers, cold atoms, fluids, magnets and so on. The study of nonlinear spin dynamics in magnetic materials related to different phenomena in condensed matter physics has been the subject of considerable interest for decades and a series of theoretical investigations [15][16][17][18][19][20][21][22][23][24][25][26][27][28] has concentrated on unveiling the underlying mechanism of soliton formation in the framework of different magnetic models (for reviews the interested reader may consult Refs. [29][30][31][32] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Control of a qubit state by a soliton propagating through a Heisenberg spin chain

Varbev,

Boradjiev,

Kamburova

et al. 2022

Preprint

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We demonstrate that nonlinear magnetic solitary excitations -solitons -traveling through a Heisenberg spin chain may be used as a robust tool capable of coherent control of the qubit's state. The physical problem is described by a Hamiltonian involving the interaction between the soliton and the qubit. We show that under certain conditions the generic Hamiltonian may be mapped on that of a qubit two-level system with matrix elements depending on the soliton parameters. We considered the action of a bright and a dark solitons depending on the driving nonlinear wave function. We considered a local interaction restricted the closest to the qubit spin in the chain. We computed the expressions of the physical quantities of interest for all cases and analyzed their behavior in some special limits.

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