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 / Notarnicola, Simone; Ercolessi, Elisa; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio; Pepe, Francesco V.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - STAMPA. - 48:30(2015), pp. 30FT01.1-30FT01.12. [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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