Two atoms in a double well: Exact solution with a Bethe ansatz

Two atoms in a double well: Exact solution with a Bethe ansatz
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双井中的两个原子:Bethe ansatz 的精确解

DOI:
10.1103/physreva.91.053610
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发表时间:
2014-11
期刊:
影响因子:
2.9
通讯作者:
Yunbo Zhang
Yunbo Zhang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Yanxia Liu;Yunbo Zhang

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我们提出在实验上实现双阱中两个原子的奇宇称本征态$\left\vert B\right\rangle $。该态的占据几率对相互作用有明显的依赖性,与海德堡实验中采用的双模模型的结果不同。基于Bethe近似波函数的假设,从精确求解的$\delta $-势垒分裂双阱模型出发,导出了两个原子从NOON$态开始的无限势垒高度的隧穿动力学.我们发现单粒子隧穿转移了每个阱的双占据和单占据之间的几率。
We propose to experimentally realize an odd parity eigenstate $\left\vert b\right\rangle $ of two atoms in the double well. The occupation probability of this state shows evident dependence on the interaction, distinct from the result of two-mode model adopted in the Heidelberg experiment. The tunneling dynamics of two atoms starting from the $NOON$ state with infinite barrier height can be derived from the exactly solved model of $\delta $-barrier split double well based on a Bethe ansatz type hypothesis of the wave functions. We find that the single particle tunneling transfer the probabilities between double occupancy and single occupancy of each well.
DOI: 10.1017/cbo9780511524332.005
发表时间: 1999
期刊: --
影响因子: --
作者:
Minoru Takahashi
通讯作者: Minoru Takahashi