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

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 consid...

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Main Authors: Cosetta Baroni, Giacomo Gori, Maria Luisa Chiofalo, Andrea Trombettoni
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/5/2/31
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author Cosetta Baroni
Giacomo Gori
Maria Luisa Chiofalo
Andrea Trombettoni
author_facet Cosetta Baroni
Giacomo Gori
Maria Luisa Chiofalo
Andrea Trombettoni
author_sort Cosetta Baroni
collection DOAJ
description 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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spelling doaj.art-dbd7efd3d5cb43a78bbbec6d191358e62023-11-19T22:15:34ZengMDPI AGCondensed Matter2410-38962020-04-01523110.3390/condmat5020031Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave InterferometersCosetta Baroni0Giacomo Gori1Maria Luisa Chiofalo2Andrea Trombettoni3Institut für Quantenoptik und Quanteninformation (IQOQI), Österreichische Akademie der Wissenschaften, 6020 Innsbruck, AustriaInstitut für Theoretische Physik, Universität Heidelberg, D-69120 Heidelberg, GermanyDipartimento di Fisica “Enrico Fermi”, Università di Pisa and INFN, Largo B. Pontecorvo 3, I-56127 Pisa, ItalyDepartment of Physics, University of Trieste, Strada Costiera 11, I-34151 Trieste, ItalyWe 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.https://www.mdpi.com/2410-3896/5/2/31strongly correlated fluidsultracold quantum gasesatom interferometryprecision measurements
spellingShingle Cosetta Baroni
Giacomo Gori
Maria Luisa Chiofalo
Andrea Trombettoni
Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
Condensed Matter
strongly correlated fluids
ultracold quantum gases
atom interferometry
precision measurements
title Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
title_full Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
title_fullStr Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
title_full_unstemmed Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
title_short Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
title_sort effect of inter well interactions on non linear beam splitters for matter wave interferometers
topic strongly correlated fluids
ultracold quantum gases
atom interferometry
precision measurements
url https://www.mdpi.com/2410-3896/5/2/31
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AT giacomogori effectofinterwellinteractionsonnonlinearbeamsplittersformatterwaveinterferometers
AT marialuisachiofalo effectofinterwellinteractionsonnonlinearbeamsplittersformatterwaveinterferometers
AT andreatrombettoni effectofinterwellinteractionsonnonlinearbeamsplittersformatterwaveinterferometers