Micropillar resonator in a magnetic field: Zero and Finite temperature cases

TL;DR

This paper provides a theoretical analysis of a quantum dot-microcavity system with a magnetic field, exploring ground-state energy, photon control, and temperature scaling at zero and finite temperatures.

Contribution

It introduces a selfconsistent method to study magnetic field effects on quantum dot-microcavity systems at different temperatures, highlighting magnetic control of photon number.

Findings

Magnetic field influences the ground-state energy and photon number.

The magnetic field can be used to control the photon number in the system.

Critical temperature scales with the number of polaritons.

Abstract

In this work, we present a theoretical study of a quantum dot-microcavity system which includes a constant magnetic field in the growth direction of the micropillar. First, we study the zero temperature case by means of a selfconsistent procedure with a trial function composed by a coherent photon field and a BCS function for the electron-hole pairs. The dependence of the ground-state energy on the magnetic field and the number of polaritons is found. We show that the magnetic field can be used as a control parameter of the photon number, and we make explicit the scaling of the total energy with the number of polaritons. Next, we study this problem at finite temperatures and obtain the scaling of the critical temperature with the number of polaritons.