K. Osterloh, M. Baig, L. Santos, P. Zoller, and M. Lewenstein, Cold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory, Physical Review Letters, vol.95, issue.1, 2005.

J. Ruseckas, G. Juzeli?nas, P. Öhberg, and M. Fleischhauer, Non-Abelian Gauge Potentials for Ultracold Atoms with Degenerate Dark States, Physical Review Letters, vol.95, issue.1, p.16, 2005.

Y. Lin, K. Jiménez-garcía, and I. B. Spielman, Spin?orbit-coupled Bose?Einstein condensates, Nature, vol.471, issue.7336, pp.83-86, 2011.

M. Piraud, Z. Cai, I. P. Mcculloch, and U. Schollwöck, Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: A density-matrix renormalization-group study, Physical Review A, vol.89, issue.6, pp.63618-205, 2014.

M. Piraud, F. Heidrich-meisner, I. P. Mcculloch, S. Greschner, T. Vekua et al., Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder, Physical Review B, vol.91, issue.14, p.206, 2015.

M. Piraud, F. Heidrich-meisner, I. P. Mcculloch, S. Greschner, T. Vekua et al., Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder, Physical Review B, vol.91, issue.14, p.19, 2015.

E. Orignac, R. Citro, M. D. Dio, S. D. Palo, and M. L. Chiofalo, Incommensurate phases of a bosonic two-leg ladder under a flux, New Journal of Physics, vol.18, issue.5, p.055017, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01322889

T. Giamarchi, Quantum Physics in One Dimension, 2003.