| Topological Entanglement in the Excitation Eigenstates and the Wavefunction-based Renormalization Group |
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| Written by seminaire |
| Friday, 18 November 2011 10:54 |
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There are no translations available. Mercredi 23 novembre
à 16h bibliothèque du LPTHE, couloir 13-14, 4ème étage Zlatko Papic
(Princeton) invité par Julien Vidal and the Wavefunction-based Renormalization Group Résumé: Entanglement in strongly-correlated and topological phases of matter has mainly been investigated through the perspective of their ground-state wavefunctions. In contrast, I will show that the excited states of fractional quantum Hall (FQH) systems also contain information that can be used to identify the system's topological order [1]. This will be demonstrated by calculating the entanglement spectrum of the FQH quasihole excitations; the counting of the entanglement levels is found to exactly match the conformal-field-theory counting in the thermodynamic limit. Moreover, the entanglement spectrum can distinguish between different conformal field theory sectors, depending on the position of the non-Abelian quasihole with respect to the entanglement cut. Moving the non-Abelian quasiholes across the entanglement cut leads to a sector change, which can be viewed as a fingerprint of the underlying non-Abelian statistics. Finally, I will introduce the renormalization group scheme which is based on the ground-state wavefunction, and show that this can be used as a tool to probe the topological order in cases when the entanglement counting is hard to identify. [1] Z. Papic, B. A. Bernevig, and N. Regnault, Phys. Rev. Lett. 106, 056801 (2011). |
| Last Updated on Tuesday, 22 November 2011 10:43 |