Measurement theory and interference of spinor Bose-Einstein condensates
Measurement theory and interference of spinor Bose-Einstein condensates
复制标题
DOI：
10.1103/physreva.65.023604
复制
发表时间：
2002-01
影响因子：
2.9
通讯作者：
S. Ashhab;A. Leggett
中科院分区：
文献类型：
--
作者：
S. Ashhab;A. Leggett
我们研究了$F=1$原子的自旋玻色-爱因斯坦凝聚体的测量理论的两个方面：获得一定测量结果的概率和由于测量而引起的凝聚体状态的演化。我们还研究了两种旋量凝聚体空间重叠所产生的干涉图样。我们证明了对少量逃逸原子的测量和干涉实验都不能区分反铁磁相干态凝聚态，即所有原子沿先验未知方向具有${S}_{z}=0$的凝聚态和自旋单线态凝聚态，即${S}_{\ maththrm {total}}=0的凝聚态。我们还表明，由于测量的结果，单重态凝聚演变成相干态。
We study two aspects of measurement theory in spinor Bose-Einstein condensates of $F=1$ atoms: the probability of obtaining a certain outcome of the measurement and the evolution of the state of the condensate due to the measurement. We also study the interference patterns arising from the spatial overlap of two spinor condensates. We show that neither a measurement on a small number of escaping atoms nor an interference experiment can distinguish between an antiferromagnetic coherent state condensate, i.e., a condensate in which all the atoms have ${S}_{z}=0$ along an a priori unknown direction, and a spin-singlet condensate, i.e., a condensate with ${S}_{\mathrm{total}}=0.$ We also show that a singlet-state condensate evolves into a coherent state as a result of the measurement.