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arXiv 1507.05705quant-phcond-mat.stat-mech
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d维晶格中的量子输运

Quantum transport in d-dimensional lattices

Daniel Manzano, Chern Chuang, Jianshu Cao

摘要:

我们证明了解析的费米和玻色子均匀d维晶格可以减少到一组独立的一维模式。这一减少导致的结论是,在均匀的费米和玻色子晶格的动力学总是弹道。通过使用乔丹-维格纳变换,我们扩展我们的分析自旋晶格,证明存在的弹道和非弹道子空间在任何维度和任何系统的大小。然后,我们与运输的性质与自旋晶格中的激发的数量,表明一个单一的激发总是弹道传播和均匀的自旋晶格的非弹道行为是不同的激发之间的相互作用的结果。

英文摘要:

We prove analytically that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional modes. This reduction leads to the conclusion that the dynamics in uniform fermionic and bosonic lattices is always ballistic. By the use of the Jordan-Wigner transformation we extend our analysis to spin lattices, proving the existence of both ballistic and non-ballistic subspaces in any dimension and for any system size. We then relate the nature of transport with the number of excitations in the spin lattice, indicating that a single excitation propagates always ballistically and that the non-ballistic behavior of uniform spin lattices is a consequence of the interaction between different excitations.

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