Nondegenerate parametric amplification in superlattice and the limits of strong and weak dissipation

Details Nondegenerate parametric amplification in superlattice and the limits of strong and weak dissipation Nondegenerate parametric amplification in superlattice and the limits of strong and weak dissipation

2008-11-10

arxiv.org/abs/0811.1451v1

Intern J Mod Phys B 23 (2009) 4403-4413

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Submitted to Proceedings of 32nd International Workshop on Condensed Matter Theories (birth centenary of L D Landau), Loughbor

Scientific paper

10.1142/S0217979209063559

We develop a semiclassical theory of the nondegenerate parametric amplification in a single miniband of superlattice. We present the formulas describing absorption and gain of signal and idler fields in superlattice and analyze the limiting cases of strong and weak dissipation. We show how the well-known Manley-Rowe relations arise in the tight-binding lattice in the weak dissipation limit. Our results can be applied to an amplification of THz signals in semiconductor superlattices and a control of nonlinear transport of cold atoms in optical lattices.

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