KIP publications

year 2020
author(s) Valentin Kasper and Juzeliūnas, Gediminas and Maciej Lewenstein and Fred Jendrzejewski and Erez Zohar
title From the Jaynes–Cummings model to non-abelian gauge theories: a guided tour for the quantum engineer
KIP-Nummer HD-KIP 20-88
KIP-Gruppe(n) F17,F21,P1
document type Paper
source New Journal of Physics 22 (2020) 103027
doi 10.1088/1367-2630/abb961
Abstract (en)

The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are a particular important class of quantum systems with an extensive number of local constraints and play a central role in high energy physics, condensed matter and quantum information. Whereas recent experimental progress points towards the feasibility of large-scale quantum simulation of Abelian gauge theories, the quantum simulation of non-Abelian gauge theories appears still elusive. In this paper we present minimal non-Abelian lattice gauge theories, whereby we introduce the necessary formalism in well-known Abelian gauge theories, such as the Jaynes-Cumming model. In particular, we show that certain minimal non-Abelian lattice gauge theories can be mapped to three or four level systems, for which the design of a quantum simulator is standard with current technologies. Further we give an upper bound for the Hilbert space dimension of a one dimensional SU(2) lattice gauge theory, and argue that the implementation with current digital quantum computer appears feasible.

  author   = {Kasper, Valentin and Juzeliūnas, Gediminas and Lewenstein, Maciej and Jendrzejewski, Fred and Zohar, Erez},
  title    = {{From the Jaynes–Cummings model to non-abelian gauge theories: a guided tour for the quantum engineer}},
  journal  = {New Journal of Physics},
  year     = {2020},
  volume   = {22},
  number   = {10},
  pages    = {103027},
  month    = {oct},
  doi      = {10.1088/1367-2630/abb961},
  url      = {}
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URL Kasper2020
Datei pdf
URL New Journal of Physics
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