Extracting Excitations From Model State Entanglement

TL;DR

This paper introduces a novel entanglement spectrum based on particle bipartition, revealing bulk quasihole excitations in Fractional Quantum Hall states, even without explicit local Hamiltonians, demonstrated on various model wavefunctions.

Contribution

It extends entanglement spectrum analysis to particle bipartitions, enabling extraction of quasihole excitations directly from model wavefunctions without known Hamiltonians.

Findings

Particle bipartite entanglement spectrum reveals quasihole physics.

Quasiholes encoded in wavefunctions without explicit Hamiltonians.

Method applied successfully to Jain's composite fermion and Jack polynomial states.

Abstract

We extend the concept of entanglement spectrum from the geometrical to the particle bipartite partition. We apply this to several Fractional Quantum Hall (FQH) wavefunctions on both sphere and torus geometries to show that this new type of entanglement spectra completely reveals the physics of bulk quasihole excitations. While this is easily understood when a local Hamiltonian for the model state exists, we show that the quasiholes wavefunctions are encoded within the model state even when such a Hamiltonian is not known. As a nontrivial example, we look at Jain's composite fermion states and obtain their quasiholes directly from the model state wavefunction. We reach similar conclusions for wavefunctions described by Jack polynomials.