Department of Physics, Bharathidasan University, Tiruchirapalli 620024, India.
Department of Physics, Presidency University, 86/1 College Street, Kolkata 700073, India.
J Chem Phys. 2017 Jul 28;147(4):044304. doi: 10.1063/1.4994922.
Calculation of the Shannon information entropy (S) and its connection with the order-disorder transition and with inter-particle interaction provide a challenging research area in the field of quantum information. Experimental progress with cold trapped atoms has corroborated this interest. In the present work, S is calculated for the Bose-Einstein condensate (BEC) with dominant dipolar interaction for different dipole strengths, trap aspect ratios, and number of particles (N). Trapped dipolar bosons in an anisotropic trap provide an example of a system where the effective interaction is strongly determined by the trap geometry. The main conclusion of the present calculation is that the anisotropic trap reduces the number of degrees of freedom, resulting in more ordered configurations. Landsberg's order parameter exhibits quick saturation with the increase in scattering length in both prolate and oblate traps. We also define the threshold scattering length which makes the system completely disordered. Unlike non-dipolar BEC in a spherical trap, we do not find a universal linear relation between S and lnN, and we, therefore, introduce a general quintic polynomial fit rather well working for a wide range of particle numbers.
计算香农信息熵 (S) 及其与无序-有序转变和粒子间相互作用的关系，为量子信息领域提供了一个具有挑战性的研究领域。冷囚禁原子的实验进展证实了这一兴趣。在目前的工作中，对于具有主导偶极相互作用的玻色-爱因斯坦凝聚体 (BEC)，我们计算了不同偶极力、阱纵横比和粒子数 (N) 下的 S。各向异性阱中囚禁的偶极玻色子提供了一个有效相互作用强烈取决于阱几何形状的系统示例。目前计算的主要结论是，各向异性阱减少了自由度，导致更有序的构型。兰兹伯格的序参量在拉长和压扁的阱中随着散射长度的增加表现出快速饱和。我们还定义了使系统完全无序的散射长度阈值。与球形阱中的非偶极 BEC 不同，我们没有发现 S 和 lnN 之间存在普遍的线性关系，因此，我们引入了一个通用的五次多项式拟合，该拟合在很宽的粒子数范围内都能很好地工作。
