Speaker
Davide Rossini
(P)
Description
Cold atomic gases endowed with a synthetic dimension are emerging as an ideal platform to address the interplay between interactions and static gauge fields. A fundamental question is whether these setups can give access to pristine two-dimensional phenomena, such as the fractional quantum Hall effect, and how. We show that unambiguous signatures of Laughlin-like states can be observed and characterized in synthetic ladders, thus being related to an unconventional fractional quantum Hall effect in the thin-torus limit. In particular we demonstrate the existence of a hierarchy of fractional insulating and conducting states, showing that the gapped states are characterized by density and magnetic order, whereas the gapless phases can support helical modes. Our analysis provides a guideline towards the observability and understanding of strongly correlated states of matter in synthetic ladders.
Primary author
Davide Rossini
(P)
Co-authors
Dr
Leonardo Mazza
(ENS, Paris)
Mr
Marcello Calvanese Strinati
(Scuola Normale Superiore)
Dr
Marcello Dalmonte
(ICTP, Trieste)
Prof.
Rosario Fazio
(ICTP, Trieste)
Dr
Simone Barbarino
(SISSA, Trieste)