Rényi entanglement entropies in quantum dimer models: from criticality to topological order

DOI10.1088/1742-5468/2012/02/P02003zbMath1456.82191arXiv1108.1699OpenAlexW2048682962MaRDI QIDQ3301331

Jean-Marie Stéphan, Grégoire Misguich, Vincent Pasquier

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1699

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (5)

Rényi entropies for free field theories ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Scaling of entanglement in 2 + 1-dimensional scale-invariant field theories ⋮ Two-cylinder entanglement entropy under a twist ⋮ Entanglement entropy in generalised quantum Lifshitz models

Cites Work

• Topological order and conformal quantum critical points
• Fault-tolerant quantum computation by anyons
• Geometric and renormalized entropy in conformal field theory
• Ground state entanglement and geometric entropy in the Kitaev model
• The statistics of dimers on a lattice
• Entanglement Entropy in Fermionic Laughlin States
• Entanglement entropy and quantum field theory
• Universal behavior of entanglement in 2D quantum critical dimer models
• Dimer problem in statistical mechanics-an exact result
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers
• Unnamed Item

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