Topological Entropy of Quantum Hall States in Rotating Bose Gases

Abstract

Through exact numerical diagonalization, the von Neumann entropy is calculated for the Laughlin and Pfaffian quantum Hall states in rotating interacting Bose gases at zero temperature in the lowest Landau level limit. The particles comprising the states are indistinguishable, so the required spatial bipartitioning is effected by tracing over a subset of single-particle orbitals. The topological entropy is then extracted through a finite-size scaling analysis. The results for the Laughlin and the Pfaffian states agree with the expected values of $\ln \sqrt{2}$ and $\ln \sqrt{4}$, respectively.

4 pages, 4 figures

References in corpus (5)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Topological Quantum Compiling
• Topological Entanglement Entropy from the Holographic Partition Function
• Entropy and Exact Matrix Product Representation of the Laughlin Wave Function