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 n, approx- imating 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.

Discrete Abelian gauge theories for quantum simulations of QED

ERCOLESSI, ELISA;
2015

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 n, approx- imating 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.
Notarnicola, Simone; Ercolessi, Elisa; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio; Pepe, Francesco V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/520848
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