Control of a qubit state by a soliton propagating through a Heisenberg
spin chain
- URL: http://arxiv.org/abs/2204.01111v1
- Date: Sun, 3 Apr 2022 16:41:11 GMT
- Title: Control of a qubit state by a soliton propagating through a Heisenberg
spin chain
- Authors: S. Varbev, I. Boradjiev, R. Kamburova, and H. Chamati
- Abstract summary: nonlinear magnetic solitary excitations (solitons) traveling through a Heisenberg spin chain may be used as a robust tool.
We show that under certain conditions the generic Hamiltonian may be mapped on that of a qubit two-level system.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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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