Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential
Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential
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DOI：
10.1103/physreva.87.053620
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发表时间：
2013-04
影响因子：
2.9
通讯作者：
L. Dell’Anna;G. Mazzarella;V. Penna;L. Salasnich
中科院分区：
文献类型：
--
作者：
L. Dell’Anna;G. Mazzarella;V. Penna;L. Salasnich
本文研究了环形三势阱中相互作用的偶极原子玻色子。该系统被证明是相当于一个三个网站的玻色-哈伯德模型。我们通过改变有效在位相互作用来分析偶极玻色子的基态。这种分析是通过使用合适的相干态表示的基态数值和分析。后者表现出各种形式，从SU（3）相干态的离域制度的宏观猫态与完全本地化的人口，通过共存制度的基态显示混合字符。我们从双分的角度刻画了基态的量子关联。我们计算数值和分析（在以前的相干态表示）的单站点纠缠熵，其中，在各种有趣的属性，表现出对应于从猫的共存制度的过渡的最大值。在后一种情况下，我们表明，基态混合形式对应，半经典，能量表现出两个几乎简并极小
We study interacting dipolar atomic bosons in a triple-well potential within a ring geometry. This system is shown to be equivalent to a three-site Bose-Hubbard model. We analyze the ground state of dipolar bosons by varying the effective on-site interaction. This analysis is performed both numerically and analytically by using suitable coherent-state representations of the ground state. The latter exhibits a variety of forms ranging from the SU(3) coherent state in the delocalization regime to a macroscopic catlike state with fully localized populations, passing for a coexistence regime where the ground state displays a mixed character. We characterize the quantum correlations of the ground state from the bipartition perspective. We calculate both numerically and analytically (within the previous coherent-state representation) the single-site entanglement entropy which, among various interesting properties, exhibits a maximum value in correspondence to the transition from the catlike to the coexistence regime. In the latter case, we show that the ground-state mixed form corresponds, semiclassically, to an energy exhibiting two almost-degenerate minima