多体系统中电子对的纠缠
Entanglement of electron pairs extracted from a many-body system
摘要:
通过投影到双电子子空间上,分析了从多电子混合态中提取的两个电子的自旋纠缠。对于总自旋投影的平方定义明确的状态,并发公式以紧凑的形式表示。作为一个例子,解析地给出了在非均匀磁场中具有各向异性海森堡和Dzyaloshinskiii-Moriya相互作用的量子比特对的热纠缠.值得注意的是,一对具有反平行自旋并处于离域轨道状态的电子的并发由该状态与其自旋翻转状态的标量积给出,而不是与时间反转状态的标量积。
英文摘要:
Entanglement of spins is analyzed for two electrons extracted from a mixed many electron state by projecting onto the two-electron subspace. The concurrence formulae are expressed in a compact form for states with a well defined square of the total spin projection. As an example, the thermal entanglement for a qubit pair with an anisotropic Heisenberg and the Dzyaloshinskii-Moriya interactions in an inhomogeneous magnetic field is given analytically. Remarkably, the concurrence of a pair of electrons with antiparallel spins and in a delocalised orbital state is given by the scalar product of the state with its spin-flipped state and not with the time-reversed state.
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