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, S., Ercolessi, E., Facchi, P., Marmo, G., Pascazio, S., Pepe, F.V. (2015). Discrete Abelian gauge theories for quantum simulations of QED. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 48(30), 1-12 [10.1088/1751-8113/48/30/30FT01].
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.| File | Dimensione | Formato | |
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