Session L29: Quantum Entanglement

2:30 PM–5:30 PM, Tuesday, March 22, 2011
Room: C148

Sponsoring Unit: GQI
Chair: Lana Sheridan, National University of Singapore

Abstract ID: BAPS.2011.MAR.L29.3

Abstract: L29.00003 : Quantum Monte Carlo Calculation of the Topological Entanglement Entropy in a Kagome Spin Liquid

2:54 PM–3:06 PM

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  Roger Melko

  Sergei Isakov
    (ETH Zurich)

  Ann Kallin

  Matthew Hastings
    (Microsoft Research and Duke)

We develop a quantum Monte Carlo procedure to compute the Renyi entanglement entropy of interacting quantum many-body systems at nonzero temperature. We illustrate the method by calculating the topological entanglement entropy in a featureless Mott Insulating phase of a Bose-Hubbard model on the kagome lattice. The topological entanglement entropy displays a characteristic finite-temperature crossover behavior discussed previously in the context of the toric code. At zero-temperature it becomes the log of the quantum dimension of the topological order, confirming the existence of a Z2 spin liquid phase in the groundstate of this model.

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