Few-particle systems: An analysis of some strongly correlated states

TL;DR

This paper investigates the quantum Hall response of small ultracold bosonic systems to identify strongly correlated states, revealing Pfaffian and /3 filling factor states through resistivity analysis.

Contribution

It introduces a method to analyze strongly correlated states in few-particle systems via Hall resistivity variation, identifying specific quantum Hall states in the low Landau-level regime.

Findings

Identification of Pfaffian state in small bosonic systems

Detection of /3 filling factor state

Establishment of conditions for observability

Abstract

The analysis of the quantum Hall response of a small system of ultracold bosonic atoms through the variation of its Hall resistivity against the applied gauge magnetic field, provides a powerful method to unmask its strongly correlated states in a quite eshaustive way. Within a fixed range of values of the magnetic field in the lowest Landau-level regime, where the resistivity displays two successive plateaux, we identify the implied states as the Pfaffian and the state with filling factor \nu=2/3 in the thermodynamic limit. We fix the conditions to have good observability.