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arXiv 1409.1983cond-mat.quant-gas
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准无序环境中的晶格玻色子:超晶格势对单粒子和多粒子性质的影响

Lattice bosons in a quasi-disordered environment: The effects of a superlattice potential on single particle and many particle properties

R. Ramakumar, A. N. Das, S. Sil

摘要:

本文从理论上研究了在一维Aubry-Andre无序势晶格中超晶格势对非相互作用玻色子性质的影响。在第一部分中,我们研究了单粒子局域化性质。我们发现一个重入局域化-离域过渡和发展的多个流动性边缘的范围内的超晶格势强度。在第二部分中,我们研究了具有附加简谐囚禁势的玻色-爱因斯坦凝聚。我们发现,在超晶格势的增加导致在低温极限的冷凝物的耗尽增加。

英文摘要:

In this paper we present a theoretical investigation of the effect of a superlattice potential on some properties of non-interacting bosons in one dimensional lattices with Aubry-Andŕe disorder potential. In the first part, we investigate the single particle localization properties. We find a re-entrant localization-delocalization transition and the development of multiple mobility edges for a range of superlattice potential strengths. In the second part, we study the Bose-Einstein condensation with an additional harmonic trapping potential. We find that an increase in the superlattice potential leads to an increase in the depletion of the condensate in the low temperature limit.

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