Parametric amplification of magnetoplasmons in semiconductor quantum dots

TL;DR

This paper demonstrates that magnetoplasmon modes in semiconductor quantum dots can be parametrically amplified through magnetic field modulation, showing potential for controlling collective excitations in many-body fermionic systems.

Contribution

It introduces a method to amplify magnetoplasmon modes in quantum dots via periodic magnetic field modulation, advancing understanding of collective mode control in low-dimensional systems.

Findings

Simultaneous excitation and amplification of two magnetoplasmon modes.

Exponential growth of bosonic excitations in the system.

Damping and anharmonicities lead to saturation of amplification.

Abstract

We show that the magnetoplasmon collective modes in quasi-two-dimensional semiconductor quantum dots can be parametrically amplified by periodically modulating the magnetic field perpendicular to the nanostructure. The two magnetoplasmon modes are excited and amplified simultaneously, leading to an exponential growth of the number of bosonic excitations in the system. We further demonstrate that damping mechanisms as well as anharmonicities in the confinement of the quantum dot lead to a saturation of the parametric amplification. This work constitutes a first step towards parametric amplification of collective modes in many-body fermionic systems beyond one dimension.