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

by Cosetta Baroni, Giacomo Gori, Maria Luisa Chiofalo, Andrea Trombettoni

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.

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Reference:

Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers,
Cosetta Baroni, Giacomo Gori, Maria Luisa Chiofalo, Andrea Trombettoni,
Condensed Matter, 5, 31, 2020.

Bibtex Entry:

@article{Baroni2020,
  author  = {Baroni, Cosetta and Gori, Giacomo and Chiofalo, Maria Luisa and Trombettoni, Andrea},
  title   = {Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers},
  journal = {Condensed Matter},
  year    = {2020},
  volume  = {5},
  number  = {2},
  pages   = {31},
  doi     = {10.3390/condmat5020031},
  url     = {https://www.mdpi.com/2410-3896/5/2/31},
  issn    = {2410-3896},
  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.}
}