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Engineering Z_2 lattice gauge theories with a strongly interacting atomic mixture

Luca BARBIERO (Université Libre de Bruxelles, Belgique)
When Nov 21, 2019
from 01:30 PM to 02:30 PM
Where Amphithèâtre E
Attendees Luca BARBIERO
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Jeudi 21 Novembre

 

Title:  Engineering Z_2 lattice gauge theories with a strongly interacting atomic mixture

Luca BARBIERO (Université Libre de Bruxelles, Belgique)

 

Abstract:  

In this talk I will show how quantized dynamical gauge fields can be created in mixtures of strongly interacting ultracold atoms in optical lattices. Specifically, I will discuss a protocol by which atoms of one species carry a magnetic flux felt by an other species, hence realizing an instance of flux-attachment. This is obtained by combining coherent lattice modulation techniques with strong Hubbard interactions. I will show that this protocol has been experimentally implemented in a double-well potential thus realizing a first building block of a true Z_2 lattice gauge theory. Moreover I will discuss how this setting can be arranged so as to implement lattice models displaying a Z2 gauge symmetry, both in one and two dimensions. Finally I will also present a detailed analysis of a ladder toy model, which features a global Z_2 symmetry, and revealing the phase transitions that occur both in the matter and gauge sectors. Mastering flux-attachment in optical lattices envisages a new route towards the realization of strongly-correlated systems with properties dictated by an interplay of dynamical matter and gauge fields.