Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
arXiv:2004.11181 · doi:10.3390/condmat5020031
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.
arXiv commentSuperFluctuations 2019: Fluctuations and Highly Non Linear Phenomena in Superfluids and Superconductors, Padova, September 2-4, 2019 http://www.multisuper.org/superfluctuations-2019
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