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Dynamic localization in Glauber-Fock lattices

Quantum Physics 2015-06-16 v1

Abstract

Glauber-Fock lattices refer to a special class of semi-infinite tight-binding lattices with inhomogeneous hopping rates which are found in certain simple solid-state, quantum optics and quantum field theoretical models. Here it is shown that dynamic localization, i.e. suppression of quantum diffusion and periodic quantum self-imaging by an external sinusoidal force [D.H. Dunlap and V.M. Kenkre, Phys. Rev. B {\bf 34}, 3625 (1986)], can be exactly realized in Glauber-Fock lattices, in spite of inhomogeneity of hopping rates and lattice truncation.

Keywords

Cite

@article{arxiv.1306.0683,
  title  = {Dynamic localization in Glauber-Fock lattices},
  author = {S. Longhi and A. Szameit},
  journal= {arXiv preprint arXiv:1306.0683},
  year   = {2015}
}

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R2 v1 2026-06-22T00:27:35.241Z