Journal article
Estimating the central charge from the Rényi entanglement entropy
Physical review. D, Vol.96(3), 034514
08/2017
DOI: 10.1103/PhysRevD.96.034514
Abstract
We calculate the von Neumann and Rényi bipartite entanglement entropy of the O(2) model with a chemical potential on a 1+1-dimensional Euclidean lattice with open and periodic boundary conditions. We show that the Calabrese-Cardy conformal field theory predictions for the leading logarithmic scaling of these entropies are consistent with a central charge c=1. This scaling survives the time-continuum limit and truncations of the microscopic degrees of freedom, modifications which allow us to connect the Lagrangian formulation to quantum Hamiltonians. At half-filling, the forms of the subleading corrections imposed by conformal field theory allow the determination of the central charge with an accuracy better than 2% for moderately sized lattices. We briefly discuss the possibility of estimating the central charge using quantum simulators.
Details
- Title: Subtitle
- Estimating the central charge from the Rényi entanglement entropy
- Creators
- A Bazavov - University of IowaY Meurice - University of IowaS.-W Tsai - University of California, RiversideJ Unmuth-YockeyLi-Ping YangJin Zhang - University of California, Riverside
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.96(3), 034514
- DOI
- 10.1103/PhysRevD.96.034514
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0010114, DE-FG02-91ER40664; DOI: 10.13039/100000001, name: National Science Foundation, award: DMR-1411345, 11304404; DOI: 10.13039/100000183, name: Army Research Office, award: W911NF-13-1-0119; name: Research Fund for the Central Universities, award: CQDXWL-2012-Z005
- Language
- English
- Date published
- 08/2017
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984200034702771
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