Universal behavior of entanglement in 2D quantum critical dimer models

DOI10.1088/1742-5468/2010/09/P09004zbMath1456.81386arXiv1006.1361MaRDI QIDQ3301187

Benjamin Hsu, Eduardo Fradkin

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/1006.1361

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

Rényi entanglement entropies in quantum dimer models: from criticality to topological order ⋮ Scaling of entanglement in 2 + 1-dimensional scale-invariant field theories ⋮ Entanglement entropy and mutual information of circular entangling surfaces in the 2  +  1-dimensional quantum Lifshitz model ⋮ Two-cylinder entanglement entropy under a twist ⋮ Logarithmic negativity in quantum Lifshitz theories ⋮ Entanglement entropy in generalised quantum Lifshitz models ⋮ Entanglement entropy of excited states in the quantum Lifshitz model

Cites Work

• Unnamed Item
• Unnamed Item
• Conformal field theory
• Path integral approach to quantum Brownian motion
• Conformal invariants for determinants of Laplacians on Riemann surfaces
• Relaxation time for a dimer covering with height representation
• Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line
• Magnetic fields and fractional statistics in boundary conformal field theory
• Phase diagram of the dissipative Hofstadter model
• A class of \(P,T\)-invariant topological phases of interacting electrons
• Topological order and conformal quantum critical points
• Geometric and renormalized entropy in conformal field theory
• From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the ``stochastic matrix form decomposition
• Topological order from quantum loops and nets
• Entanglement in many-body systems
• Quantum source of entropy for black holes
• Entanglement entropy and quantum field theory
• Loop models and their critical points
• Criticality and entanglement in random quantum systems
• Scaling of entanglement entropy at 2D quantum Lifshitz fixed points and topological fluids
• Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
• Entropy and area
• SCALING OF VON NEUMANN ENTROPY AT THE ANDERSON TRANSITION
• Can One Hear the Shape of a Drum?