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- Topological_entropy_in_physics abstract "The topological entanglement entropy , usually denoted by γ, is a number characterizing many-body states that possess topological order. The short form topological entropy is often used, although the same name in ergodic theory refers to an unrelated mathematical concept (see topological entropy).A non-zero topological entanglement entropy reflects the presence of long range quantum entanglements in a many-body quantum state. So the topological entanglement entropy links topological order with pattern of long range quantum entanglements.Given a topologically ordered state, the topological entropy can be extracted from the asymptotic behavior of the Von Neumann entropy measuring the quantum entanglement between a spatial block and the rest of the system. The entanglement entropy of a simply connected region of boundary length L, within an infinite two-dimensional topologically ordered state, has the following form for large L:-γ is the topological entanglement entropy.The topological entanglement entropy is equal to the logarithm of the total quantum dimension of the quasiparticle excitations of the state. For example, the simplest fractional quantum Hall states, the Laughlin states at filling fraction 1/m, have γ = ½log(m). The Z2 fractionalized states, such as topologically ordered states of Z2 spin-liquid, quantum dimer models on non-bipartite lattices, and Kitaev's toric code state, are characterized γ = log(2).".
- Topological_entropy_in_physics wikiPageExternalLink e110404.
- Topological_entropy_in_physics wikiPageExternalLink e110405.
- Topological_entropy_in_physics wikiPageID "12545981".
- Topological_entropy_in_physics wikiPageRevisionID "551433527".
- Topological_entropy_in_physics hasPhotoCollection Topological_entropy_in_physics.
- Topological_entropy_in_physics subject Category:Condensed_matter_physics.
- Topological_entropy_in_physics subject Category:Statistical_mechanics.
- Topological_entropy_in_physics comment "The topological entanglement entropy , usually denoted by γ, is a number characterizing many-body states that possess topological order. The short form topological entropy is often used, although the same name in ergodic theory refers to an unrelated mathematical concept (see topological entropy).A non-zero topological entanglement entropy reflects the presence of long range quantum entanglements in a many-body quantum state.".
- Topological_entropy_in_physics label "Entropía topológica en física".
- Topological_entropy_in_physics label "Topological entropy in physics".
- Topological_entropy_in_physics sameAs Entropía_topológica_en_física.
- Topological_entropy_in_physics sameAs m.02wcj_p.
- Topological_entropy_in_physics sameAs Q11681505.
- Topological_entropy_in_physics sameAs Q11681505.
- Topological_entropy_in_physics wasDerivedFrom Topological_entropy_in_physics?oldid=551433527.
- Topological_entropy_in_physics isPrimaryTopicOf Topological_entropy_in_physics.