Many-anyon trial states

TL;DR

This paper investigates upper bounds on the ground-state energy of many-anyon systems by analyzing correlation functions of specific clustering states, linking statistical parameters with energy estimates.

Contribution

It introduces a method to bound many-anyon ground-state energies using correlation functions of Moore-Read and Read-Rezayi states, connecting statistics and energy bounds.

Findings

Bounding ground-state energy depends on correlation functions of clustering states.

Correlation functions of Moore-Read and Read-Rezayi states are key to energy estimates.

Provides a framework matching lower bound dependencies on statistics parameter.

Abstract

The problem of bounding the (abelian) many-anyon ground-state energy from above, with a dependence on the statistics parameter which matches that of currently available lower bounds, is reduced to studying the correlation functions of Moore-Read (Pfaffian) and Read-Rezayi type clustering states.