Discrete Abelian gauge theories for quantum simulations of QED

Simone Notarnicola, Elisa Ercolessi, Paolo Facchi, Giuseppe Marmo, Saverio Pascazio, Francesco V Pepe
2015 Journal of Physics A: Mathematical and Theoretical  
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 $\mathbb{Z}_n$, 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
more » ... ctive dynamics in physical space.
doi:10.1088/1751-8113/48/30/30ft01 fatcat:nwe23bqnhzcxvkdpyorxguod3y