English

Discrete Abelian Gauge Theories for Quantum Simulations of QED

Quantum Physics 2015-07-20 v3

Abstract

We study a lattice gauge theory in Wilson's Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a discrete gauge symmetry Zn\mathbb{Z}_n, approximating the U(1)U(1) theory for large nn. We analyze the role of the finiteness of the gauge fields and the properties of physical states, that satisfy a generalized Gauss's law. We finally discuss a possible implementation strategy, that involves an effective dynamics in physical space.

Keywords

Cite

@article{arxiv.1503.04340,
  title  = {Discrete Abelian Gauge Theories for Quantum Simulations of QED},
  author = {Simone Notarnicola and Elisa Ercolessi and Paolo Facchi and Giuseppe Marmo and Saverio Pascazio and Francesco V. Pepe},
  journal= {arXiv preprint arXiv:1503.04340},
  year   = {2015}
}

Comments

13 pages, 3 figures