A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level

TL;DR

This paper introduces a universal molecular framework to describe the spectra of bosons and fermions in the lowest Landau level, revealing intrinsic symmetries and bridging quantum-fluid and molecular pictures.

Contribution

It presents a novel quantal molecular approach that captures strong correlations and intrinsic symmetries in the LLL spectra for both bosons and fermions.

Findings

Molecular symmetries emerge in finite LLL systems.

The approach applies to both yrast and excited states.

Quantum-fluid models can be reduced to molecular descriptions.

Abstract

Through the introduction of a class of appropriate translationally invariant trial wave functions, we show that the strong correlations in the lowest Landau level (LLL) reflect in finite systems the emergence of intrinsic point-group symmetries associated with rotations and vibrations of molecules formed through particle localization. This quantal molecular description is universal, being valid for both bosons and fermions, for both the yrast and excited states of the LLL spectra, and for both low and high angular momenta. "Quantum-fluid" physical pictures associated with Jastrow-type trial functions are shown to be reducible to the molecular description introduced in this paper.