Tensor RG calculations and quantum simulations near criticality

Y. Meurice; A. Bazavov; Shan-Wen Tsai; J. Unmuth-Yockey; Li-Ping Yang; Jin Zhang

doi:10.48550/arXiv.1611.08711

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Tensor RG calculations and quantum simulations near criticality

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Tensor RG calculations and quantum simulations near criticality

Y. Meurice, A. Bazavov, Shan-Wen Tsai, J. Unmuth-Yockey, Li-Ping Yang and Jin Zhang

ArXiv.org

11/26/2016

DOI: 10.48550/arXiv.1611.08711

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Preprint (Author's original) This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

High Energy Physics

Lattice

Details

Title: Subtitle: Tensor RG calculations and quantum simulations near criticality
Creators: Y. Meurice
A. Bazavov
Shan-Wen Tsai
J. Unmuth-Yockey
Li-Ping Yang
Jin 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

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