Optical Abelian Lattice Gauge Theories

By Luca Tagliacozzo, Alessio Celi, A. Zamora, Maciej Lewenstein. 2012

184 citations recorded by the source corpus.

We discuss a general framework for the realization of a family of abelian lattice gauge theories, i.e., link models or gauge magnets, in optical lattices. We analyze the properties of these models that make them suitable to quantum simulations. Within this class, we study in detail the phases of a U(1)-invariant lattice gauge theory in 2+1 dimensions originally proposed by Orland. By using exact diagonalization, we extract the low-energy states for small lattices, up to 4x4. We confirm that the model has two phases, with the confined entangled one characterized by strings wrapping around the whole lattice. We explain how to study larger lattices by using either tensor network techniques or digital quantum simulations with Rydberg atoms loaded in optical lattices where we discuss in detail a protocol for the preparation of the ground state. We also comment on the relation between standard compact U(1) LGT and the model considered.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e50575cac3391115d24655135d1b7eb9b110bdc3

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions (2013, background): “In the context of ultracold neutral atoms, several proposals for the quantum simulation of lattice gauge theories have been made recently [32–41], but the realization of gauge symmetries in alternative atomic or optical systems is currently unexplored [42].”
Floquet approach to ℤ2 lattice gauge theories with ultracold atoms in optical lattices (2019, background): “[18] Luca Tagliacozzo, Alessio Celi, Alejandro Zamora, and Maciej Lewenstein, “Optical abelian lattice gauge theories,” Ann.”
Lattice gauge theory simulations in the quantum information era (2016, methodology): “Several proposals have been outlined in literature, including both Abelian [113,114] and non-Abelian theories [26,32], and can be applied in an almost platform independent way.”