Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
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DOI：
10.1103/physreva.81.053613
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发表时间：
2010-05-01
影响因子：
2.9
通讯作者：
Schmelcher, Peter
中科院分区：
文献类型：
--
作者：
Brouzos, Ioannis;Zollner, Sascha;Schmelcher, Peter
我们研究有限一维多阱阱中的少玻色子系统，涵盖了从非关联粒子到费米子化粒子的全部相互作用交叉。我们的基态性质的治疗是基于数值精确的多组态时间相关的Hartree方法。对于相称的填充，我们跟踪指纹的本地化的相互作用强度的增加，在几个可观的，如约化密度矩阵，波动和动量分布。对于填充因子大于1，我们观察到现场排斥效应的密度和碎片的粒子超出了有效性的玻色-哈伯德模型接近唐克斯-吉拉多极限。考虑到系统的有限尺寸，无公度部分粒子的存在会导致密度分布的不完全定位和空间调制。
We investigate few-boson systems in finite one-dimensional multiwell traps covering the full interaction crossover from uncorrelated to fermionized particles. Our treatment of the ground-state properties is based on the numerically exact multiconfigurational time-dependent Hartree method. For commensurate filling, we trace the fingerprints of localization as the interaction strength increases, in several observables like reduced-density matrices, fluctuations, and momentum distribution. For a filling factor larger than 1 we observe on-site repulsion effects in the densities and fragmentation of particles beyond the validity of the Bose-Hubbard model upon approaching the Tonks-Girardeau limit. The presence of an incommensurate fraction of particles induces incomplete localization and spatial modulations of the density profiles, taking into account the finite size of the system.