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arXiv · 1306.0683

Dynamic localization in Glauber-Fock lattices

S. Longhi·A. Szameit
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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.

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S. Longhi, A. Szameit. 2013-06-04. Dynamic localization in Glauber-Fock lattices. https://doi.org/10.1088/0953-8984%2F25%2F3%2F035603

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