The correlation function of a two-dimensional electron gas with anharmonic potential and Rashba coupling

TL;DR

This paper investigates the correlation functions in a 2D electron gas with Rashba coupling and anharmonic potential, connecting the Hamiltonian to the Jaynes-Cummings model and analyzing photon emission and absorption behaviors.

Contribution

It introduces a novel analysis of a 2D electron gas with Rashba coupling using the Jaynes-Cummings model framework and studies photon correlation functions under different coupling regimes.

Findings

Correlation functions vary with coupling strength

Hamiltonian can be decomposed into Jaynes-Cummings form

Photon emission and absorption behaviors are characterized

Abstract

In this paper, we study a two-dimensional gas of electrons with Rashba spin-orbit coupling with anharmonic potential. The splitting of the Hamiltonian in two parts can be recovering the Jaynes-Cummings model, which describes a system with two states. The dynamics of the rising Pauli operator and the creation operators are studied. Finally, we examined the behavior of the correlation function of emission and absorption photons for the strong and weak coupling.