论文标题

简单谐波振荡器中的香农熵纠缠标准

Shannon Entropic Entanglement Criterion in the Simple Harmonic Oscillator

论文作者

Blado, Gardo, Johnson, Amanda, Gadea, Otto, Herrera, Francisco

论文摘要

我们应用Walborn [Walborn S P,Taketani B G,Salles A,Toscano F和De Matos filho R L L L 2009熵纠缠标准连续变量物理。莱特牧师。 103 160505] Shannon熵纠缠标准(SEEC),简单的谐波振荡器,该系统通常在本科量子力学课程中讨论。特别是,我们研究了耦合谐波振荡器系统的纠缠。就其相互作用而言,一种简单的纠缠标准形式。结果表明,一对相互作用的基态耦合振荡器更有可能因较弱的耦合强度而被纠缠在一起,而激发态在较高耦合强度的激发状态中耦合的振荡器。随着相互作用的增加,相互作用的振荡器更有可能被纠缠。

We apply the Walborn [Walborn S P, Taketani B G, Salles A, Toscano F and de Matos Filho R L 2009 Entropic Entanglement Criteria for Continuous Variables Phys. Rev. Lett. 103 160505] Shannon Entropic Entanglement Criterion (SEEC), to simple harmonic oscillators, a system typically discussed in undergraduate quantum mechanics courses. In particular, we investigate the entanglement of a system of coupled harmonic oscillators. A simple form of entanglement criterion in terms of their interaction is found. It is shown that a pair of interacting ground state coupled oscillators are more likely to be entangled for weaker coupling strengths while coupled oscillators in excited states entangle at higher coupling strengths. Interacting oscillators are more likely to be entangled as their interaction increases.

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