6–7 Dec 2017
Fermilab - Wilson Hall
US/Central timezone

Quantum Simulating Lattice Gauge Theories with Optical Lattices

7 Dec 2017, 14:30
1h
Curia II (Fermilab - Wilson Hall)

Curia II

Fermilab - Wilson Hall

Fermi National Accelerator Laboratory Batavia, IL

Speaker

Yannick Meurice (U. of Iowa)

Description

Optical lattices have been used successfully to quantum simulate the Bose-Hubbard model. We briefly review recent proposals to use similar procedures for lattice gauge theories. The long term objectives are to deal with sign problems and the real time evolution, which is not possible with classical computations. We introduce a gauge-invariant formulation of the Abelian Higgs model in 1+1 dimensions obtained with the tensor renormalization group method. We propose an approximate realization using cold atoms in an optical lattice with a ladder structure. Recently developed Rydberg’s atom manipulations allow to create nearest neighbor interactions with the desired strength. An experimental proof of principle would be to try first simpler examples: the Ising and O(2) models. We report on recent progress in this direction.

Presentation materials