Microscopic and mean-field dynamics of cold atoms in optical lattices

A. Kolovsky, J. Brand, A. Ponomarev, A. Buchleitner
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Abstract

The Bloch dynamics of degenerate cold atoms in optical lattices is a paradigmatic problem of quantum transport theory, arid under virtually perfect experimental control. If a Bose-Einstein condensate (BEC) is loaded into truly 1D lattices, and for sufficiently small filling factors, the problem can be treated within the Bose-Hubbard model. The nonlinearity can stabilise the BEC against dispersion whilst moving across the lattice, giving rise to soliton-like solutions
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光学晶格中冷原子的微观和平均场动力学
光学晶格中简并冷原子的布洛赫动力学是量子输运理论的一个典型问题,在几乎完美的实验控制下。如果将玻色-爱因斯坦凝聚体(BEC)加载到真正的一维晶格中,并且填充因子足够小,则可以在玻色-哈伯德模型中处理该问题。非线性可以使BEC在穿过晶格时稳定色散,从而产生类孤子解
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