Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels

TL;DR

This paper investigates a quantum dot with spin-orbit interaction in a noncommutative phase space, revealing an equivalence in energy spectrum to a quantum dot in a magnetic field, which could inform quantum computing and condensed matter physics.

Contribution

It introduces a model of a quantum dot with Rashba spin-orbit interaction in noncommutative space and demonstrates spectral equivalence to a magnetic field scenario.

Findings

Energy spectrum matches that of a quantum dot with magnetic field under certain conditions.

Noncommutative phase space alters the energy levels of the quantum dot.

The model provides insights into spin-orbit effects in noncommutative geometries.

Abstract

We have studied a quantum dot with Rashba spin orbit interaction on a plane where the position and momentum coordinates are considered to be noncommutative. The energy spectrum of the system is found to be equivalent to that of a quantum dot with Rashba spin-orbit interaction in a magnetic field under certain conditions.