论文标题
非交通性引起的纠缠：非共同空间中的各向异性谐波振荡器
Entanglement Induced by Noncommutativity: Anisotropic Harmonic Oscillator in Noncommutative space
论文作者
论文摘要
针对各向异性谐波振荡器，研究了由空间非交通性引起的量子纠缠。通过执行特定BOPP向非公认自由度的转移，通过规范变量重新表达了模型后，获得了系统的精确解决方案。使用Simon的可分离性标准，我们发现系统的状态被纠缠起来，提供了（质量和频率）参数的独特功能，遵守不等式。还计算了该系统的形成纠缠，并讨论了其与各向异性程度的关系。值得一提的是，即使在非共同空间中，也只有在谐波振荡器是各向异性的情况下才会产生纠缠。有趣的是，形成的纠缠使变形参数$θ$的较高值饱和，该值量量化了空间非交换性。
Quantum entanglement, induced by spatial noncommutativity, is investigated for an anisotropic harmonic oscillator. Exact solutions for the system are obtained after the model is re-expressed in terms of canonical variables, by performing a particular Bopp's shift to the noncommuting degrees of freedom. Employing Simon's separability criterion, we find that the states of the system are entangled provided a unique function of the (mass and frequency) parameters obeys an inequality. Entanglement of Formation for this system is also computed and its relation to the degree of anisotropy is discussed. It is worth mentioning that, even in a noncommutative space, entanglement is generated only if the harmonic oscillator is anisotropic. Interestingly, the Entanglement of Formation saturates for higher values of the deformation parameter $θ$, that quantifies spatial noncommutativity.
