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双组分玻色-爱因斯坦凝聚体中的双模纠缠

Two-mode entanglement in two-component Bose-Einstein condensates

H. T. Ng, P. T. Leung

摘要:

研究了双势阱中两组分玻色-爱因斯坦凝聚体中双模纠缠的产生。通过应用Holstein-Primakoff变换,我们证明了只要由于原子-原子相互作用引起的激发数保持较低,问题就完全可解。特别地,凝聚体构成对称的高斯系统,从而使得其形成的缠结能够通过两个组成成分的正交中的波动来直接测量[Giedke { \it et al.},物理修订信函{ \bf 91},107901(2003)]。我们发现,当种间相互作用足够强时,凝聚体中会出现显著的双模压缩,从而导致两个组分之间的强纠缠。

英文摘要:

We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. By applying the Holstein-Primakoff transformation, we show that the problem is exactly solvable as long as the number of excitations due to atom-atom interactions remains low. In particular, the condensate constitutes a symmetric Gaussian system, thereby enabling its entanglement of formation to be measured directly by the fluctuations in the quadratures of the two constituent components [Giedke {\it et al.}, Phys. Rev. Lett. {\bf 91}, 107901 (2003)]. We discover that significant two-mode squeezing occurs in the condensate if the interspecies interaction is sufficiently strong, which leads to strong entanglement between the two components.

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