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7 papers · 1 filter
Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
N. Goldman, A. Kubasiak, A. Bermudez +3
We study the properties of an ultracold Fermi gas loaded in an optical square lattice and subjected to an external and classical non-Abelian gauge field. We show that this system c…
Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
N. Goldman, A. Kubasiak, P. Gaspard +1
Nowadays it is experimentally feasible to create artificial, and in particular, non-Abelian gauge potentials for ultracold atoms trapped in optical lattices. Motivated by this fact…
Characterizing the Hofstadter butterfly's outline with Chern numbers
N. Goldman
In this work, we report original properties inherent to independent particles subjected to a magnetic field by emphasizing the existence of regular structures in the energy spectru…
Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
N. Goldman
In this work we study ultracold Fermions confined in a two-dimensional optical lattice and we explore the Mott-insulator transition with the Fermi-Hubbard model. On the basis of a…
Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
N. Goldman, A. Kubasiak, P. Gaspard +1
Nowadays it is experimentally feasible to create artificial, and in particular, non-Abelian gauge potentials for ultracold atoms trapped in optical lattices. Motivated by this fact…
Spatial patterns in optical lattices submitted to gauge potentials
N. Goldman
We study the vortex formation in optical lattices submitted to artificial gauge potentials. We compute the superfluid density for Abelian and non-Abelian gauge potentials with a me…