Session J11: Fractional Quantum Hall Effect I
11:15 AM–2:03 PM, Tuesday, March 22, 2011
Room: D222
Sponsoring Unit:
FIAP
Chair: Nikolai Zhitenev, National Institute of Standards and Technology
Abstract ID: BAPS.2011.MAR.J11.1
Abstract: J11.00001 : The Real-Space Entanglement Spectra of Fractional Quantum Hall States
11:15 AM–11:27 AM
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Authors:
A. Chandran
(Princeton University)
Parsa Bonderson
(Microsoft Research, Station Q)
Nicolas Regnault
(Laboratoire Pierre Aigrain, ENS and CNRS)
Andrei Bernevig
(Princeton University)
We investigate the entanglement spectra arising from a sharp real-space cut on the topologically ordered fractional quantum hall (FQH) ground states. We find that the counting of the real-space entanglement spectra (the number of edge excitations of the liquid) is identical to the number of bulk quasihole excitations, in accordance with the bulk-boundary correspondence. The spectra of cuts with two edges display the shape and counting of counter-propagating non-interacting modes as well. Initial estimates of the topological entanglement entropy seem to be in agreement with theory. The real-space entanglement spectra also allows us to distinguish between particle-hole conjugate states, providing us with a new probe to interacting edge modes.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.J11.1