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arXiv quant-ph/0602127quant-ph
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低维半导体系统中电子-电子散射的纠缠动力学

Entanglement dynamics of electron-electron scattering in low-dimensional semiconductor systems

Fabrizio Buscemi, Paolo Bordone, Andrea Bertoni

摘要:

我们对一维和二维半导体纳米结构中两个通过库仑势相互作用的非易失性电子之间的散射事件中的纠缠动力学进行了定量评估。我们应用一个标准的基础上的冯诺伊曼熵和施密特分解的整体状态矢量适用于系统的相同的粒子。从散射载流子的两粒子波函数的含时数值解,我们计算了不同自旋配置的纠缠演化:两个电子具有相同的自旋,具有不同的自旋,单重态和三重态自旋状态。该程序允许评估的机制,管理纠缠创建和它们的连接与系统的特征物理参数和初始条件。的情况下,纠缠的演变是相似的可区分的粒子得到的。

英文摘要:

We perform the quantitative evaluation of the entanglement dynamics in scattering events between two insistinguishable electrons interacting via Coulomb potential in 1D and 2D semiconductor nanostructures. We apply a criterion based on the von Neumann entropy and the Schmidt decomposition of the global state vector suitable for systems of identical particles. From the timedependent numerical solution of the two-particle wavefunction of the scattering carriers we compute their entanglement evolution for different spin configurations: two electrons with the same spin, with different spin, singlet, and triplet spin state. The procedure allows to evaluate the mechanisms that govern entanglement creation and their connection with the characteristic physical parameters and initial conditions of the system. The cases in which the evolution of entanglement is similar to the one obtained for distinguishable particles are discussed.

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