# Topological entanglement entropy of Z 2 spin liquids and lattice Laughlin states

@article{Zhang2011TopologicalEE,
title={Topological entanglement entropy of Z 2 spin liquids and lattice Laughlin states},
author={Yi Zhang and Tarun Grover and Ashvin Vishwanath},
journal={Physical Review B},
year={2011},
volume={84},
pages={075128}
}
• Published 31 May 2011
• Physics
• Physical Review B
We study entanglement properties of candidate wave functions for SU(2) symmetric gapped spin liquids and Laughlin states. These wave functions are obtained by the Gutzwiller projection technique. Using topological entanglement entropy $\ensuremath{\gamma}$ as a tool, we establish topological order in chiral spin liquid and ${\mathbb{Z}}_{2}$ spin liquid wave functions, as well as a lattice version of the Laughlin state. Our results agree very well with the field theoretic result $\ensuremath… 34 Citations ## Figures and Tables from this paper Lattice effects on Laughlin wave functions and parent Hamiltonians • Physics • 2016 We investigate lattice effects on wave functions that are lattice analogs of bosonic and fermionic Laughlin wave functions with number of particles per flux$\ensuremath{\nu}=1/q$in the Landau Quantum phase diagram and chiral spin liquid in the extended spin- 12 honeycomb XY model • Physics • 2021 The frustrated XY model on the honeycomb lattice has drawn lots of attention because of the potential emergence of chiral spin liquid (CSL) with the increasing of frustrations or competing Entanglement entropy and entanglement spectrum of triplet topological superconductors. • Physics, Medicine Journal of physics. Condensed matter : an Institute of Physics journal • 2014 We analyze the entanglement entropy properties of a 2D p-wave superconductor with Rashba spin-orbit coupling, which displays a rich phase-space that supports non-trivial topological phases, as the Rényi entropies for free field theories • Physics • 2012 A bstractRényi entropies Sq are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with q ≥ 0. For (d + 1)-dimensional Wave Functions for Fractional Chern Insulators on Disk Geometry • Physics • 2015 Recently, fractional Chern insulators (FCIs), also called fractional quantum anomalous Hall (FQAH) states, have been theoretically established in lattice systems with topological flat bands. These Renyi entanglement entropies in quantum dimer models: from criticality to topological order • Mathematics, Physics • 2012 Thanks to Pfaffian techniques, we study the Renyi entanglement entropies and the entanglement spectrum of large subsystems for two-dimensional Rokhsar–Kivelson wavefunctions constructed from a dimer Stability of topological purity under random local unitaries • Physics • 2021 Topological order[1] is a novel kind of quantum order that goes beyond the paradigm of symmetry breaking. Its role is prominent in condensed matter theory as well as in quantum computation. In On holographic entanglement entropy of charged matter • Physics • 2012 A bstractWe study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of$ \mathcal{N}=4 \$
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