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Propagation of local excitations through strongly correlated quantum chains

Quantum Physics 2015-05-30 v1 Strongly Correlated Electrons

Abstract

The propagation of an external transverse magnetic signal acting locally on a 1d chain of spins generates a disturbance which runs through the system. This quantum effect can be interpreted as a classical traveling wave which contains a superposition of a large set of frequencies depending on the size of the chain. Its local amplitude fixes the size of the z-component of the spins at any location in the chain. The average and maximum value of the group velocity are determined and compared with the transmission velocity fixed by the Lieb-Robinson upper bound inequality.

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Cite

@article{arxiv.1109.3392,
  title  = {Propagation of local excitations through strongly correlated quantum chains},
  author = {Jean Richert and Tarek Khalil},
  journal= {arXiv preprint arXiv:1109.3392},
  year   = {2015}
}

Comments

18 pages, 6 figures