Trial wave functions, molecular states, and ro-vibrational spectra in the lowest Landau level: A universal description for bosons and fermions

TL;DR

This paper introduces a universal molecular wave function approach to describe strongly correlated particles in the lowest Landau level, applicable to both bosons and fermions across various states and angular momenta.

Contribution

It presents a new class of translationally invariant trial wave functions that reveal molecular symmetries in the LLL, contrasting with traditional quantum-fluid models.

Findings

Molecular point-group symmetries emerge in finite LLL systems.

The approach is valid for both bosonic and fermionic particles.

Applicable to both low and high angular momentum states.

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 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. This physical picture is fundamentally different from the "quantum-fluid" one associated with Jastrow-type trial functions.