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Title: Cold-atom quantum simulator for string and hadron dynamics in non-Abelian lattice gauge theory

Abstract

We propose an analog quantum simulator for simulating real-time dynamics of (1+1)-dimensional non-Abelian gauge theory well within the existing capacity of ultracold-atom experiments. The scheme calls for the realization of a two-state ultracold fermionic system in a one-dimensional bipartite lattice, and the observation of subsequent tunneling dynamics. Being based on the loop string hadron formalism of SU(2) lattice gauge theory, this simulation technique is completely SU(2) invariant and simulates accurate dynamics of physical phenomena such as string breaking and/or pair production. The scheme is scalable and particularly effective in simulating the theory in the weak-coupling regime, and also a bulk limit of the theory in the strong-coupling regime up to certain approximations. This paper also presents a numerical benchmark comparison of the exact spectrum and real-time dynamics of lattice gauge theory to that of the atomic Hamiltonian with an experimentally realizable range of parameters.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Calcutta, Kolkata (India)
  2. Univ. of Maryland, College Park, MD (United States). Maryland Center for Fundamental Physics; BITS-Pilani, Zuarinagar (India)
Publication Date:
Research Org.:
US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Advanced Scientific Computing Research (ASCR)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1982748
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 105; Journal Issue: 2; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Optics; Physics; Cold gases in optical lattices; Color confinement; Gauge theories; Many-body techniques; Synthetic gauge fields

Citation Formats

Dasgupta, Raka, and Raychowdhury, Indrakshi. Cold-atom quantum simulator for string and hadron dynamics in non-Abelian lattice gauge theory. United States: N. p., 2022. Web. doi:10.1103/physreva.105.023322.
Dasgupta, Raka, & Raychowdhury, Indrakshi. Cold-atom quantum simulator for string and hadron dynamics in non-Abelian lattice gauge theory. United States. https://doi.org/10.1103/physreva.105.023322
Dasgupta, Raka, and Raychowdhury, Indrakshi. Tue . "Cold-atom quantum simulator for string and hadron dynamics in non-Abelian lattice gauge theory". United States. https://doi.org/10.1103/physreva.105.023322. https://www.osti.gov/servlets/purl/1982748.
@article{osti_1982748,
title = {Cold-atom quantum simulator for string and hadron dynamics in non-Abelian lattice gauge theory},
author = {Dasgupta, Raka and Raychowdhury, Indrakshi},
abstractNote = {We propose an analog quantum simulator for simulating real-time dynamics of (1+1)-dimensional non-Abelian gauge theory well within the existing capacity of ultracold-atom experiments. The scheme calls for the realization of a two-state ultracold fermionic system in a one-dimensional bipartite lattice, and the observation of subsequent tunneling dynamics. Being based on the loop string hadron formalism of SU(2) lattice gauge theory, this simulation technique is completely SU(2) invariant and simulates accurate dynamics of physical phenomena such as string breaking and/or pair production. The scheme is scalable and particularly effective in simulating the theory in the weak-coupling regime, and also a bulk limit of the theory in the strong-coupling regime up to certain approximations. This paper also presents a numerical benchmark comparison of the exact spectrum and real-time dynamics of lattice gauge theory to that of the atomic Hamiltonian with an experimentally realizable range of parameters.},
doi = {10.1103/physreva.105.023322},
journal = {Physical Review A},
number = 2,
volume = 105,
place = {United States},
year = {Tue Feb 22 00:00:00 EST 2022},
month = {Tue Feb 22 00:00:00 EST 2022}
}

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