Propagation of correlations in quantum lattice systems

Propagation of correlations in quantum lattice systems
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DOI:
10.1007/s10955-006-9143-6
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发表时间:
2006-07-01
影响因子:
1.6
通讯作者:
Sims, Robert
Sims, Robert
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Nachtergaele, Bruno;Ogata, Yoshiko;Sims, Robert

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我们提供了一个简单的证明的Lieb-Robinson界,并使用它来证明存在的多项式衰减的相互作用的动力学。然后,我们用我们的结果来证明,有一个上限的速度,在该速度与分离的支持观测之间的相关性可以积累的动态的结果。
We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrate that there is an upper bound on the rate at which correlations between observables with separated support can accumulate as a consequence of the dynamics.