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James, Andrew J. A. and Konik, Robert M.
(2013).
DOI: https://doi.org/10.1103/PhysRevB.87.241103
Abstract
We describe an algorithm for studying the entanglement entropy and spectrum of two-dimensional (2D) systems, as a coupled array of N one-dimensional chains in their continuum limit. Using the algorithm to study the quantum Ising model in 2D (both in its disordered phase and near criticality), we confirm the existence of an area law for the entanglement entropy and show that near criticality there is an additive piece scaling as ceff log(N)/6 with ceff ≈ 1. Studying the entanglement spectrum, we show that entanglement gap scaling can be used to detect the critical point of the 2D model. When short-range (area law) entanglement dominates we find (numerically and perturbatively) that this spectrum reflects the energy spectrum of a single quantum Ising chain.
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About
- Item ORO ID
- 60368
- Item Type
- Journal Item
- ISSN
- 1098-0121
- Project Funding Details
-
Funded Project Name Project ID Funding Body Not Set DE-AC02-98CH10886 US Department of Energy - Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2013 American Physical Society
- Depositing User
- Andrew James