Quantum Simulation of the Universal Features of the Polyakov Loop
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.
- Authors:
- Publication Date:
- Research Org.:
- Syracuse Univ., NY (United States); Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1483729
- Alternate Identifier(s):
- OSTI ID: 1611300
- Grant/Contract Number:
- SC0010113; SC0019139; SC0009998; DMR-1411345
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 22; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Cold gases in optical lattices; Lattice gauge theory; Quantum simulation; Finite-size scaling
Citation Formats
Zhang, Jin, Unmuth-Yockey, J., Zeiher, J., Bazavov, A., Tsai, S. -W., and Meurice, Y. Quantum Simulation of the Universal Features of the Polyakov Loop. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.121.223201.
Zhang, Jin, Unmuth-Yockey, J., Zeiher, J., Bazavov, A., Tsai, S. -W., & Meurice, Y. Quantum Simulation of the Universal Features of the Polyakov Loop. United States. https://doi.org/10.1103/PhysRevLett.121.223201
Zhang, Jin, Unmuth-Yockey, J., Zeiher, J., Bazavov, A., Tsai, S. -W., and Meurice, Y. Wed .
"Quantum Simulation of the Universal Features of the Polyakov Loop". United States. https://doi.org/10.1103/PhysRevLett.121.223201.
@article{osti_1483729,
title = {Quantum Simulation of the Universal Features of the Polyakov Loop},
author = {Zhang, Jin and Unmuth-Yockey, J. and Zeiher, J. and Bazavov, A. and Tsai, S. -W. and Meurice, Y.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.121.223201},
journal = {Physical Review Letters},
number = 22,
volume = 121,
place = {United States},
year = {Wed Nov 28 00:00:00 EST 2018},
month = {Wed Nov 28 00:00:00 EST 2018}
}
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https://doi.org/10.1103/PhysRevLett.121.223201
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Cited by: 43 works
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