标题： 自旋-轨道耦合超冷原子中的类似纠缠特性及贝尔不等式类似违反 显示英文标题

标题： Entanglement like properties in Spin-Orbit Coupled Ultra Cold Atom and violation of Bell like Inequality

摘要： 我们证明了最近实验上创建的合成自旋轨道耦合超冷玻色原子凝聚体的一般量子态（Y. J. Lin{\it 等}，Nature，{\bf 471}，83，（2011）），其运动自由度（动量）和内部自由度（超精细自旋）之间表现出纠缠。 我们展示了此类态对类似贝尔不等式（CHSH）的违反，这为验证如量子非定域性等基本原理提供了独特的机会，这些原理适用于不处于空间分离的可交换观测量。 我们详细分析了此类原子-激光系统执行的拉比振荡，以及它如何影响纠缠熵、类似贝尔不等式的违反等量。 我们还讨论了我们的结果在通过宏观量子物体如超冷原子的玻色-爱因斯坦凝聚体测试量子非定域性和贝尔不等式违反中的意义。 显示英文摘要

摘要： We show that the general quantum state of synthetically spin-orbit coupled ultra cold bosonic atom whose condensate was experimentally created recently ( Y. J. Lin {\it et al.}, Nature, {\bf 471}, 83, (2011)), shows entanglement between motional degrees of freedom ( momentum) and internal degrees of freedom (hyperfine spin). We demonstrate the violation of Bell-like inequality (CHSH) for such states that provides a unique opportunity to verify fundamental principle like quantum non-contextuality for commutating observables which are not spatially separated. We analyze in detail the Rabi oscillation executed by such atom-laser system and how that influneces quantities like entanglement entropy, violation of Bell like Inequality etc. We also discuss the implication of our result in testing the quantum non-contextuality and Bell's Inequality vioaltion by macroscopic quantum object like Bose-Einstein Condensate of ultra cold atoms.