Discrete Abelian gauge theories for quantum simulations of QED. (6th July 2015)

• Record Type: Journal Article
• Authors: Notarnicola, Simone; Ercolessi, Elisa; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio; Pepe, Francesco V
• Is Part Of: Journal of physics. Volume 48:Number 30(2015)
• Publication Date: 2015-07-06
• Subjects: quantum simulators -- ultracold gases -- lattice gauge theories; 37.10.Jk -- 11.15.Ha -- 67.85.-d -- 42.50.Ex; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/30/30FT01
• Languages: English
• ISSNs: 1751-8113

Abstract

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, approximating the U (1) theory for large n . 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.