Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers

Year: 2020

Authors: Baroni C., Gori G., Chiofalo ML., Trombettoni A.

Autors Affiliation: Austrian Acad Sci, Inst Quantenopt & Quanteninformat IQOQI, A-6020 Innsbruck, Austria; Univ Innsbruck, Inst Experimentalphys, A-6020 Innsbruck, Austria; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; Univ Pisa, Dipartimento Fis Enrico Fermi, Largo B Pontecorvo 3, I-56127 Pisa, Italy; Ist Nazl Fis Nucl, Largo B Pontecorvo 3, I-56127 Pisa, Italy; Univ Trieste, Dept Phys, Str Costiera 11, I-34151 Trieste, Italy; CNR IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy.

Abstract: We study the non-linear beam splitter in matter-wave interferometers using ultracold quantum gases in a double-well configuration in presence of non-local interactions inducing inter-well density-density coupling, as they can be realized, e.g., with dipolar gases. We explore this effect after considering different input states, in the form of either coherent, or Twin-Fock, or NOON states. We first review the non-interacting limit and the case in which only the local interaction is present, including the study of sensitivity near the self-trapping threshold. Then, we consider the two-mode model in the presence of inter-well interactions and consider the scaling of the sensitivity as a function of the non-local coupling strength. Our analysis clearly shows that non-local interactions can compensate the degradation of the sensitivity induced by local interactions, so that they may be used to restore optimal sensitivity.

Journal/Review: CONDENSED MATTER

Volume: 5 (2)      Pages from: 31-1  to: 31-16

More Information: Maria Luisa Chiofalo acknowledges the support from the project PRA_2018_34 (ANISE) from the University of Pisa.
KeyWords: strongly correlated fluids; ultracold quantum gases; atom interferometry; precision measurements
DOI: 10.3390/condmat5020031

Citations: 1
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