Quantum phase transition from magnetic to topological order

ORAL

Abstract

We present a numerical study of the quantum phase transition from the magnetically ordered phase to the topologically ordered phase of a $n$-spins $1/2$ system. We show that the derivative of von Neumann entropy of a plaquette diverges at the critical point, signaling a second order quantum phase transition. Moreover, we compute the finite-size scaling of the Topological Entropy, showing how this quantity detects the passage to the topologically ordered phase.

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Authors

  • Alioscia Hamma

    University of Southern California

  • Wen Zhang

    University of Southern California

  • Stephan Haas

    University of Southern California, Department of Physics and Astronomy, University of Southern California, Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USC Dept. of Physics and Astronomy

  • Daniel Lidar

    University of Southern California