Interacting gases with a synthetic gauge field in the synthetic dimension
Leonardo Mazza (Ecole Normale Supérieure / PSL Research University, CNRS)
Synthetic ladders realized with one-dimensional alkaline-earth(-like) fermionic gases and subject to a gauge field represent a promising environment for the investigation of quantum Hall physics with ultracold atoms. We unveil the existence of a hierarchy of fractional insulating and conducting states by means of both analytical bosonization techniques and numerical methods based on the density-matrix renormalization group algorithm. We show that such states can be exploited for constructing a topological Thouless pump where the charge transported after one cycle is quantized to fractional values and demonstrate this behavior with a full many-body time-dependent calculation.
1 – S. Barbarino, L. Taddia, D. Rossini, L. Mazza, R. Fazio, Nat. Commun. 6, 8134 (2015)
2 – S. Barbarino, L. Taddia, D. Rossini, L. Mazza, R. Fazio, New J. Phys. 18, 035010 (2016)
3 – L. Taddia, E. Cornfeld, D. Rossini, L. Mazza, E. Sela, R. Fazio, in preparation