Topological Entropy of Quantum Hall States in Rotating Bose Gases

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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

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Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/218863

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.1293
 http://arxiv.org/abs/0808.1293
 Phys. Rev. A 79, 013619 (2009)
 doi:10.1103/PhysRevA.79.013619

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arXiv