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Field-induced barrier transparency of Bloch waves in tight-binding lattices

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arxiv 1102.0387 v1 pith:IEDPQLUE submitted 2011-02-02 cond-mat.other

Field-induced barrier transparency of Bloch waves in tight-binding lattices

classification cond-mat.other
keywords barriertransparencyblochfield-inducedparticletight-bindingfreely-movingphenomenon
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A rectangular potential barrier for a Bloch particle in a tight-binding lattice is shown to become fully transparent by the application of a strong ac field with appropriate amplitude and frequency. Such a curious phenomenon bears some connection with the field-induced barrier transparency effect known for freely-moving particles scattered by an ac-driven rectangular barrier; however, for a Bloch particle transparency is not related to a resonant tunnneling process across the cycle-averaged oscillating potential barrier, as for the freely-moving quantum particle. The phenomenon of field-induced transparency is specifically discussed here for photonic transport in waveguide arrays and demonstrated by full numerical simulations of the paraxial (Schr\"{o}dinger) wave equation beyond the tight-binding approximation.

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