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

TL;DR

This paper develops a semiclassical theory for nondegenerate parametric amplification in superlattices, analyzing absorption and gain under different dissipation regimes, with applications to THz signal amplification and cold atom transport.

Contribution

It introduces a new semiclassical framework for understanding parametric amplification in superlattices, including formulas for gain and absorption, and explores the limits of dissipation effects.

Findings

Manley-Rowe relations derived in weak dissipation limit

Formulas for signal and idler gain and absorption in superlattices

Potential applications in THz signal amplification and cold atom control

Abstract

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.