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arXiv · 1503.04340

Discrete Abelian Gauge Theories for Quantum Simulations of QED

Simone Notarnicola·Elisa Ercolessi·Paolo Facchi·Giuseppe Marmo·Saverio Pascazio·Francesco V. Pepe
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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 $\mathbb{Z}_n$, 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 physical space.

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Simone Notarnicola, Elisa Ercolessi, Paolo Facchi, Giuseppe Marmo, Saverio Pascazio, Francesco V. Pepe. 2015-03-14. Discrete Abelian Gauge Theories for Quantum Simulations of QED. https://doi.org/10.1088/1751-8113/48/30/30ft01

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