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arXiv 1402.6922cond-mat.quant-gas
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非对称三维光晶格中硬球玻色子的零温phase diagram

Zero-temperature phase diagram of hard sphere bosons in asymmetric three dimensional optical lattices

F. De Soto, C. Carbonell-Coronado, M. C. Gordillo

摘要:

利用扩散蒙特卡罗方法研究了非对称三维光晶格中玻色硬球从超流到莫特绝缘体体的转变。通过对应于每个势阱一个粒子的密度周围的化学势的变化来监测转变的开始。用这种方法,我们能够重现的结果在文献中给出的三维对称晶格和系统的不对称性,使它们相当于一组准一维管。对于类似于一堆准二维晶格的非对称系统,同样的跃迁位置也将给出。我们的结果与玻色-哈伯德模型给出的类似安排进行了检查。

英文摘要:

We studied the superfluid-to-Mott insulator transition for bosonic hard spheres loaded in asymmetric three-dimensional optical lattices by means of diffusion Monte Carlo calculations. The onset of the transition was monitored through the change in the chemical potential around the density corresponding to one particle per potential well. With this method, we were able to reproduce the results given in the literature for three-dimensional symmetric lattices and for systems whose asymmetry makes them equivalent to a set of quasi-one dimensional tubes. The location of the same transition for asymmetric systems akin to a stack of quasi-two dimensional lattices will be also given. Our results were checked against those given by a Bose-Hubbard model for similar arrangements.

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