Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
1
Institut für Quantenoptik und Quanteninformation (IQOQI), Österreichische Akademie der Wissenschaften, 6020 Innsbruck, Austria
2
Institut für Experimentalphysik, Universität Innsbruck, 6020 Innsbruck, Austria
3
Institut für Theoretische Physik, Universität Heidelberg, D-69120 Heidelberg, Germany
4
Dipartimento di Fisica “Enrico Fermi”, Università di Pisa and INFN, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
5
Department of Physics, University of Trieste, Strada Costiera 11, I-34151 Trieste, Italy
6
CNR-IOM DEMOCRITOS Simulation Center and SISSA, Via Bonomea 265, I-34136 Trieste, Italy
*
Author to whom correspondence should be addressed.
Condens. Matter 2020, 5(2), 31; https://doi.org/10.3390/condmat5020031
Received: 1 March 2020 / Revised: 30 March 2020 / Accepted: 10 April 2020 / Published: 21 April 2020
(This article belongs to the Special Issue Fluctuations and Highly Non-linear Phenomena in Superfluids and Superconductors II)
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.
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Keywords:
strongly correlated fluids; ultracold quantum gases; atom interferometry; precision measurements
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MDPI and ACS Style
Baroni, C.; Gori, G.; Chiofalo, M.L.; Trombettoni, A. Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers. Condens. Matter 2020, 5, 31.
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