论文标题
通过一个通过海森堡自旋链传播的孤子来控制量子状态
Control of a qubit state by a soliton propagating through a Heisenberg spin chain
论文作者
论文摘要
我们证明,通过海森堡自旋链传播的非线性磁性孤立激发(孤子)可以用作能够连贯控制量子状态的强大工具。物理问题是通过涉及孤子和量子之间相互作用的哈密顿量来描述的。我们表明,在某些条件下,通用哈密顿量可以根据孤子参数映射具有矩阵元素的量子两级系统的量子。我们考虑了明亮和深色孤子的作用,具体取决于驱动非线性波函数。我们认为局部相互作用限制了链中最接近量子的自旋。我们计算了所有情况的物理量的表达,并在某些特殊限制中分析了它们的行为。
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.