TY - GEN
T1 - Laughlin-like states in bosonic and fermionic synthetic ladders
AU - Strinati, Marcello Calvanese
AU - Cornfeld, Eyal
AU - Rossini, Davide
AU - Barbarino, Simone
AU - Dalmonte, Marcello
AU - Fazio, Rosario
AU - Sela, Eran
AU - Mazza, Leonardo
N1 - Publisher Copyright:
© OSA 2017.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85036451173&partnerID=8YFLogxK
U2 - 10.1364/QIM.2017.QT6A.51
DO - 10.1364/QIM.2017.QT6A.51
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AN - SCOPUS:85036451173
SN - 9781943580262
T3 - Optics InfoBase Conference Papers
BT - Quantum Information and Measurement, QIM 2017
PB - Optica Publishing Group (formerly OSA)
T2 - Quantum Information and Measurement, QIM 2017
Y2 - 5 April 2017 through 7 April 2017
ER -