arXiv 0912.46032009-12quant-ph

有质量耦合振子中的纠缠

Entanglement in Massive Coupled Oscillators

N. L. Harshman, W. F. Flynn

备注：: 23 pages, 7 figures; v4 minor changes and corrections from v3, accepted in QIC
发表信息：: Quantum Information and Computation, 11 (2011) 278-299

摘要：

本文研究了大质量耦合振子运动态的纠缠。在一维的理想化的双原子分子的具体实现被认为是，但开发的技术适用于任何大质量的粒子与两个自由度和二次哈密顿量。我们提出了两种方法，一种是解析的，一种是近似的，计算高斯和非高斯纯态的原子间纠缠度的约化密度矩阵的纯度来衡量。自由和捕获的分子和异质和homopolysaccharides分子的情况下治疗。一般情况下，当陷阱频率与分子频率相差很大，原子质量相等时，原子对分子相干态和数态都是高度纠缠的。令人惊讶的是，虽然原子间的纠缠可以是相当大的，即使是分子相干态，原子的位置和动量观测值的协方差可以完全解释一个经典模型与适当选择的统计不确定性。

英文摘要：

This article investigates entanglement of the motional states of massive coupled oscillators. The specific realization of an idealized diatomic molecule in one-dimension is considered, but the techniques developed apply to any massive particles with two degrees of freedom and a quadratic Hamiltonian. We present two methods, one analytic and one approximate, to calculate the interatomic entanglement for Gaussian and non-Gaussian pure states as measured by the purity of the reduced density matrix. The cases of free and trapped molecules and hetero- and homonuclear molecules are treated. In general, when the trap frequency and the molecular frequency are very different, and when the atomic masses are equal, the atoms are highly-entangled for molecular coherent states and number states. Surprisingly, while the interatomic entanglement can be quite large even for molecular coherent states, the covariance of atomic position and momentum observables can be entirely explained by a classical model with appropriately chosen statistical uncertainty.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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