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Title: Local gauge symmetry on optical lattices?

Abstract

The versatile technology of cold atoms confined in optical lattices allows the creation of a vast number of lattice geometries and interactions, providing a promising platform for emulating various lattice models. This opens the possibility of letting nature take care of sign problems and real time evolution in carefully prepared situations. Up to now, experimentalists have succeeded to implement several types of Hubbard models considered by condensed matter theorists. In this proceeding, we discuss the possibility of extending this effort to lattice gauge theory. We report recent efforts to establish the strong coupling equivalence between the Fermi Hubbard model and SU(2) pure gauge theory in 2+1 dimensions by standard determinantal methods developed by Robert Sugar and collaborators. We discuss the possibility of using dipolar molecules and external fields to build models where the equivalence holds beyond the leading order in the strong coupling expansion.

Authors:
 [1];  [1];  [2]
  1. Iowa U.
  2. UC, Riverside
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1406476
Report Number(s):
FERMILAB-CONF-12-853-T; arXiv:1211.4126
1203138
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Conference
Journal Name:
PoS
Additional Journal Information:
Journal Volume: LATTICE2012; Conference: 30th International Symposium on Lattice Field Theory, Cairns, Australia, 06/24-06/29/2012
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Liu, Yuzhi, Meurice, Yannick, and Tsai, Shan-Wen. Local gauge symmetry on optical lattices?. United States: N. p., 2012. Web.
Liu, Yuzhi, Meurice, Yannick, & Tsai, Shan-Wen. Local gauge symmetry on optical lattices?. United States.
Liu, Yuzhi, Meurice, Yannick, and Tsai, Shan-Wen. Thu . "Local gauge symmetry on optical lattices?". United States. https://www.osti.gov/servlets/purl/1406476.
@article{osti_1406476,
title = {Local gauge symmetry on optical lattices?},
author = {Liu, Yuzhi and Meurice, Yannick and Tsai, Shan-Wen},
abstractNote = {The versatile technology of cold atoms confined in optical lattices allows the creation of a vast number of lattice geometries and interactions, providing a promising platform for emulating various lattice models. This opens the possibility of letting nature take care of sign problems and real time evolution in carefully prepared situations. Up to now, experimentalists have succeeded to implement several types of Hubbard models considered by condensed matter theorists. In this proceeding, we discuss the possibility of extending this effort to lattice gauge theory. We report recent efforts to establish the strong coupling equivalence between the Fermi Hubbard model and SU(2) pure gauge theory in 2+1 dimensions by standard determinantal methods developed by Robert Sugar and collaborators. We discuss the possibility of using dipolar molecules and external fields to build models where the equivalence holds beyond the leading order in the strong coupling expansion.},
doi = {},
journal = {PoS},
number = ,
volume = LATTICE2012,
place = {United States},
year = {2012},
month = {11}
}

Conference:
Other availability
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