#ENTANGLEMENT ENTROPY CODE#

'Topological entanglement entropy in the quantum dimer model on the triangular lattice'.

Furukawa, Shunsuke Misguich, Grégoire (5 June 2007).

'Entanglement Entropy in Fermionic Laughlin States'.

Haque, Masudul Zozulya, Oleksandr Schoutens, Kareljan (6 February 2007).

S2CID 206329868.Ĭalculations for specific topologically ordered states logD, log D, where D D is the total quantum dimension of the medium, given by. SL L +, S L L +, where is the topological entanglement entropy. 'Detecting Topological Order in a Ground State Wave Function'. In 2D the entanglement entropy of a simply connected region goes like. ^ Levin, Michael Wen, Xiao-Gang (24 March 2006).^ Kitaev, Alexei Preskill, John (24 March 2006).'Ground state entanglement and geometric entropy in the Kitaev model'. ^ Hamma, Alioscia Ionicioiu, Radu Zanardi, Paolo (2005).

#ENTANGLEMENT ENTROPY CODE#

Z 2 spin-liquid, quantum dimer models on non-bipartite lattices, and Kitaev's toric code state, are characterized γ = log(2). The Z 2 fractionalized states, such as topologically ordered states of The topological entanglement entropy is equal to the logarithm of the total quantum dimension of the quasiparticle excitations of the state.įor example, the simplest fractional quantum Hall states, the Laughlin states at filling fraction 1/ m, have γ = ½log( m). In this work, we describe an approach to compute the von Neumann entanglement entropy of ground states without relying on probing wave functions, that (i) is applicable in any dimension, and to a broad class of physical phenomena, including quantum critical and topological matter and (ii) it is amenable to simulations based on Quantum Monte Car. The topological entanglement entropy or topological entropy, usually denoted by γ is the topological entanglement entropy. For the mathematical concept in ergodic theory, see topological entropy.

Entanglement entropy