二元无序晶格中的超冷玻色子
Ultracold bosons in lattices with binary disorder
摘要：
研究了在淬火无序存在下，晶格中具有排斥相互作用的超冷玻色子的量子相位。这种无序被认为是由玻色子与具有大有效质量的杂质原子的相互作用引起的。该系统描述的玻色-哈伯德哈密顿与随机的现场能量具有离散的二进制概率分布。在零温度下的相图计算使用几种方法，如强耦合展开，一个精确的数值对角化，和一个有效的玻色-费米映射的硬核限制。结果表明，莫特绝缘体相存在的任何强度的混乱的情况下，连续的概率分布。我们发现玻色玻璃相的可压缩性在很宽的范围内变化，并且可以非常低。此外，我们评估实验上可获得的量，如动量分布，静态和动态的结构因子，和激发态的密度。同时还讨论了有限温度的影响。
英文摘要：
Quantum phases of ultracold bosons with repulsive interactions in lattices in the presence of quenched disorder are investigated. The disorder is assumed to be caused by the interaction of the bosons with impurity atoms having a large effective mass. The system is described by the Bose-Hubbard Hamiltonian with random on-site energies which have a discrete binary probability distribution. The phase diagram at zero temperature is calculated using several methods like a strong-coupling expansion, an exact numerical diagonalization, and a Bose-Fermi mapping valid in the hard-core limit. It is shown that the Mott-insulator phase exists for any strength of disorder in contrast to the case of continuous probability distribution. We find that the compressibility of the Bose glass phase varies in a wide range and can be extremely low. Furthermore, we evaluate experimentally accessible quantities like the momentum distribution, the static and dynamic structure factors, and the density of excited states. The influence of finite temperature is discussed as well.
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