Quantum Simulation of the Universal Features of the Polyakov Loop

Jin Zhang; J Unmuth-Yockey; J Zeiher; A Bazavov; S-W Tsai; Y Meurice

doi:10.1103/PhysRevLett.121.223201

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Quantum Simulation of the Universal Features of the Polyakov Loop

Journal article

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Peer reviewed

Quantum Simulation of the Universal Features of the Polyakov Loop

Jin Zhang, J Unmuth-Yockey, J Zeiher, A Bazavov, S-W Tsai and Y Meurice

Physical review letters, Vol.121(22), pp.223201-223201

11/30/2018

DOI: 10.1103/PhysRevLett.121.223201

PMID: 30547605

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Abstract

Lattice gauge theories are fundamental to our understanding of high-energy physics. Nevertheless, the search for suitable platforms for their quantum simulation has proven difficult. We show that the Abelian Higgs model in 1+1 dimensions is a prime candidate for an experimental quantum simulation of a lattice gauge theory. To this end, we use a discrete tensor reformulation to smoothly connect the space-time isotropic version used in most numerical lattice simulations to the continuous-time limit corresponding to the Hamiltonian formulation. The eigenstates of the Hamiltonian are neutral for periodic boundary conditions, but we probe the nonzero charge sectors by introducing either a Polyakov loop or an external electric field. In both cases we obtain universal functions relating the mass gap, the gauge coupling, and the spatial size, which are invariant under the deformation of the temporal lattice spacing. We propose to use a physical multileg ladder of atoms trapped in optical lattices and interacting with Rydberg-dressed interactions to quantum simulate the model and check the universal features. Our results provide a path to the analog quantum simulation of lattice gauge theories with atoms in optical lattices.

Details

Title: Subtitle: Quantum Simulation of the Universal Features of the Polyakov Loop
Creators: Jin Zhang - University of California, Riverside
J Unmuth-Yockey - Syracuse University
J Zeiher - Max Planck Society
A Bazavov - Michigan State University
S-W Tsai - University of California, Riverside
Y Meurice - University of Iowa
Resource Type: Journal article
Publication Details: Physical review letters, Vol.121(22), pp.223201-223201
DOI: 10.1103/PhysRevLett.121.223201
PMID: 30547605
NLM abbreviation: Phys Rev Lett
ISSN: 0031-9007
eISSN: 1079-7114
Grant note: DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0010113, DE-SC0019139, DE-SC0009998; DOI: 10.13039/100000001, name: National Science Foundation, award: DMR-1411345; DOI: 10.13039/501100004189, name: Max-Planck-Gesellschaft; DOI: 10.13039/501100000780, name: European Commission
Language: English
Date published: 11/30/2018
Academic Unit: Physics and Astronomy
Record Identifier: 9984199702502771

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