Laughlin-like states in bosonic and fermionic synthetic ladders

Marcello Calvanese Strinati, Eyal Cornfeld, Davide Rossini, Simone Barbarino, Marcello Dalmonte, Rosario Fazio, Eran Sela, Leonardo Mazza

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Laughlin-like states appear in ladder models which describe one-dimensional ultra-cold gases with a synthetic dimension: we show it explicitly both bosons and for fermions by studying several interacting microscopic models. For the bosonic case, we present explicit numerical results obtained with matrix-product states in the limit of weak tunneling in the synthetic direction. The fermionic case is instead addressed with an exactly-solvable model which describes Rydberg-dressed gases. We present extensive evidence that Laughlin-like physics can be diagnosed by focusing on the chiral current flowing in the ladder, on the central charge of the low-energy theory and on the properties of the entanglement entropy. The behavior of these observables is characterized with several analytical tools based on non-interacting models and bosonization; our predictions coincide with the numerical observations. Our work opens a novel route to the quantum simulation of the fractional quantum Hall effect with synthetic dimensions.

Original languageEnglish
Title of host publicationQuantum Information and Measurement, QIM 2017
PublisherOptica Publishing Group (formerly OSA)
ISBN (Print)9781943580262
StatePublished - 2017
EventQuantum Information and Measurement, QIM 2017 - Paris, France
Duration: 5 Apr 20177 Apr 2017

Publication series

NameOptics InfoBase Conference Papers
VolumePart F73-QIM 2017
ISSN (Electronic)2162-2701


ConferenceQuantum Information and Measurement, QIM 2017


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