Increasing of entanglement entropy from pure to random quantum critical chains

DOI10.1088/1742-5468/2006/06/L06002zbMath1244.82015arXivcond-mat/0602527OpenAlexW3101278485MaRDI QIDQ2903738

Raoul Santachiara

Publication date: 12 August 2012

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0602527

zbMATH Keywords

entanglement entropy

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical thermodynamics (82B30)

Related Items

Strong disorder RG approach -- a short review of recent developments ⋮ Entanglement between random and clean quantum spin chains ⋮ Entanglement in the quantum Ising model ⋮ Entanglement entropy scaling of the XXZ chain ⋮ Surface and bulk entanglement in free-fermion chains ⋮ Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices ⋮ Entanglement entropy of the long-range Dyson hierarchical model ⋮ Colloquium: Area laws for the entanglement entropy ⋮ Entanglement in spin chains with gradients ⋮ Entanglement entropy in aperiodic singlet phases ⋮ Unusual area-law violation in random inhomogeneous systems

Cites Work

• Geometric and renormalized entropy in conformal field theory
• Information and computation: Classical and quantum aspects
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Entanglement entropy and quantum field theory
• Models WD\(_n\) in the presence of disorder and the coupled models