The phase sensitivity of a fully quantum three-mode nonlinear interferometer
We study a nonlinear interferometer consisting of two consecutive parametric amplifiers, where all three optical fields (pump, signal and idler) are treated quantum mechanically, allowing for pump depletion and other quantum phenomena. The interaction of all three fields in the final amplifier leads...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aaf3d2 |
| _version_ | 1797750265073369088 |
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| author | Jefferson Flórez Enno Giese Davor Curic Lambert Giner Robert W Boyd Jeff S Lundeen |
| author_facet | Jefferson Flórez Enno Giese Davor Curic Lambert Giner Robert W Boyd Jeff S Lundeen |
| author_sort | Jefferson Flórez |
| collection | DOAJ |
| description | We study a nonlinear interferometer consisting of two consecutive parametric amplifiers, where all three optical fields (pump, signal and idler) are treated quantum mechanically, allowing for pump depletion and other quantum phenomena. The interaction of all three fields in the final amplifier leads to an interference pattern from which we extract the phase uncertainty. We find that the phase uncertainty oscillates around a saturation level that decreases as the mean number N of input pump photons increases. For optimal interaction strengths, we also find a phase uncertainty below the shot-noise level and obtain a Heisenberg scaling $1/N$ . This is in contrast to the conventional treatment within the parametric approximation, where the Heisenberg scaling is observed as a function of the number of down-converted photons inside the interferometer. |
| first_indexed | 2024-03-12T16:30:12Z |
| format | Article |
| id | doaj.art-1d5a22938c534c8a95411a1b4541251e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:12Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-1d5a22938c534c8a95411a1b4541251e2023-08-08T15:31:22ZengIOP PublishingNew Journal of Physics1367-26302018-01-01201212302210.1088/1367-2630/aaf3d2The phase sensitivity of a fully quantum three-mode nonlinear interferometerJefferson Flórez0Enno Giese1Davor Curic2Lambert Giner3https://orcid.org/0000-0002-4412-1248Robert W Boyd4Jeff S Lundeen5Department of Physics and Centre for Research in Photonics, University of Ottawa , 25 Templeton Street, Ottawa, Ontario K1N 6N5, CanadaDepartment of Physics and Centre for Research in Photonics, University of Ottawa , 25 Templeton Street, Ottawa, Ontario K1N 6N5, CanadaDepartment of Physics and Centre for Research in Photonics, University of Ottawa , 25 Templeton Street, Ottawa, Ontario K1N 6N5, CanadaDepartment of Physics and Centre for Research in Photonics, University of Ottawa , 25 Templeton Street, Ottawa, Ontario K1N 6N5, CanadaDepartment of Physics and Centre for Research in Photonics, University of Ottawa , 25 Templeton Street, Ottawa, Ontario K1N 6N5, Canada; Institute of Optics, University of Rochester , Rochester, NY 14627, United States of AmericaDepartment of Physics and Centre for Research in Photonics, University of Ottawa , 25 Templeton Street, Ottawa, Ontario K1N 6N5, CanadaWe study a nonlinear interferometer consisting of two consecutive parametric amplifiers, where all three optical fields (pump, signal and idler) are treated quantum mechanically, allowing for pump depletion and other quantum phenomena. The interaction of all three fields in the final amplifier leads to an interference pattern from which we extract the phase uncertainty. We find that the phase uncertainty oscillates around a saturation level that decreases as the mean number N of input pump photons increases. For optimal interaction strengths, we also find a phase uncertainty below the shot-noise level and obtain a Heisenberg scaling $1/N$ . This is in contrast to the conventional treatment within the parametric approximation, where the Heisenberg scaling is observed as a function of the number of down-converted photons inside the interferometer.https://doi.org/10.1088/1367-2630/aaf3d2quantum metrologynonlinear interferometerHeisenberg scaling |
| spellingShingle | Jefferson Flórez Enno Giese Davor Curic Lambert Giner Robert W Boyd Jeff S Lundeen The phase sensitivity of a fully quantum three-mode nonlinear interferometer New Journal of Physics quantum metrology nonlinear interferometer Heisenberg scaling |
| title | The phase sensitivity of a fully quantum three-mode nonlinear interferometer |
| title_full | The phase sensitivity of a fully quantum three-mode nonlinear interferometer |
| title_fullStr | The phase sensitivity of a fully quantum three-mode nonlinear interferometer |
| title_full_unstemmed | The phase sensitivity of a fully quantum three-mode nonlinear interferometer |
| title_short | The phase sensitivity of a fully quantum three-mode nonlinear interferometer |
| title_sort | phase sensitivity of a fully quantum three mode nonlinear interferometer |
| topic | quantum metrology nonlinear interferometer Heisenberg scaling |
| url | https://doi.org/10.1088/1367-2630/aaf3d2 |
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