Many-body effects in Landau levels: Non-commutative geometry and squeezed correlated states

TL;DR

This paper explores the effects of many-body interactions in Landau levels, focusing on non-commutative geometry and squeezed states, using algebraic methods to analyze Coulomb correlations.

Contribution

It introduces an operator approach with canonical transformations and SU(1,1) algebra to study Coulomb correlations in Landau levels, highlighting symmetry-driven squeezing.

Findings

Development of an algebraic framework for Landau level correlations

Identification of symmetry-driven squeezing and coherent states

Enhanced understanding of many-body effects in magnetic systems

Abstract

We discuss symmetry-driven squeezing and coherent states of few-particle systems in magnetic fields. An operator approach using canonical transformations and the SU(1,1) algebras is developed for considering Coulomb correlations in the lowest Landau levels.