Preprint
Tensor RG calculations and quantum simulations near criticality
ArXiv.org
11/26/2016
DOI: 10.48550/arXiv.1611.08711
Abstract
We discuss the reformulation of the O(2) model with a chemical potential and the Abelian Higgs model on a 1+1 dimensional space-time lattice using the Tensor Renormalization Group (TRG) method. The TRG allows exact blocking and connects smoothly the classical Lagrangian approach to the quantum Hamiltonian approach. We calculate the entanglement entropy in the superfluid phase of the O(2) model and show that it approximately obeys the logarithmic Calabrese-Cardy scaling obtained from Conformal Field Theory (CFT). We calculate the Polyakov loop in the Abelian Higgs model and discuss the possibility of a deconfinement transition at finite volume. We propose Bose-Hubbard Hamiltonians implementable on optical lattices as quantum simulators for CFT models.
Details
- Title: Subtitle
- Tensor RG calculations and quantum simulations near criticality
- Creators
- Y. MeuriceA. BazavovShan-Wen TsaiJ. Unmuth-YockeyLi-Ping YangJin Zhang
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arXiv.1611.08711
- ISSN
- 2331-8422
- Grant note
- 1411345 / National Science Foundation (nsf_________::NSF)
- Comment
- Talk presented at Lattice 2016 by Y. Meurice
- Language
- English
- Date posted
- 11/26/2016
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428777202771
Metrics
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