Quantum estimation of Kerr nonlinearity in driven-dissipative systems
We mainly investigate the quantum measurement of Kerr nonlinearity in the driven-dissipative system. Without the dissipation, the measurement precision of the nonlinearity parameter χ scales as “super-Heisenberg scaling” 1/N2 with N being the total average number of particles (photons) due to the no...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972200571X |
| _version_ | 1811344255789039616 |
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| author | Dong Xie Chunling Xu An Min Wang |
| author_facet | Dong Xie Chunling Xu An Min Wang |
| author_sort | Dong Xie |
| collection | DOAJ |
| description | We mainly investigate the quantum measurement of Kerr nonlinearity in the driven-dissipative system. Without the dissipation, the measurement precision of the nonlinearity parameter χ scales as “super-Heisenberg scaling” 1/N2 with N being the total average number of particles (photons) due to the nonlinear generator. Here, we find that “super-Heisenberg scaling” 1/N3/2 can also be obtained by choosing a proper interrogation time. In the steady state, the “super-Heisenberg scaling” 1/N3/2 can only be achieved when the nonlinearity parameter is close to 0 in the case of the single-photon loss and the one-photon driving or the two-photon driving. The “super-Heisenberg scaling” disappears with the increase of the strength of the nonlinearity. When the system suffers from the two-photon loss in addition to the single-photon loss, the optimal measurement precision will not appear at the nonlinearity χ=0 in the case of the one-photon driving. Counterintuitively, in the case of the two-photon driving we find that it is not the case that the higher the two-photon loss, the lower the measurement precision. It means that the measurement precision of χ can be improved to some extent by increasing the two-photon loss. |
| first_indexed | 2024-04-13T19:44:34Z |
| format | Article |
| id | doaj.art-8fb6074fceee41d3a8d62b7628fc83b8 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T19:44:34Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-8fb6074fceee41d3a8d62b7628fc83b82022-12-22T02:32:47ZengElsevierResults in Physics2211-37972022-11-0142105957Quantum estimation of Kerr nonlinearity in driven-dissipative systemsDong Xie0Chunling Xu1An Min Wang2College of Science, Guilin University of Aerospace Technology, Guilin, Guangxi 541004, People’s Republic of China; State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-Optoelectronics, Peking University, Beijing 100871, People’s Republic of China; Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, People’s Republic of China; Corresponding author at: College of Science, Guilin University of Aerospace Technology, Guilin, Guangxi 541004, People’s Republic of China.College of Science, Guilin University of Aerospace Technology, Guilin, Guangxi 541004, People’s Republic of ChinaDepartment of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of ChinaWe mainly investigate the quantum measurement of Kerr nonlinearity in the driven-dissipative system. Without the dissipation, the measurement precision of the nonlinearity parameter χ scales as “super-Heisenberg scaling” 1/N2 with N being the total average number of particles (photons) due to the nonlinear generator. Here, we find that “super-Heisenberg scaling” 1/N3/2 can also be obtained by choosing a proper interrogation time. In the steady state, the “super-Heisenberg scaling” 1/N3/2 can only be achieved when the nonlinearity parameter is close to 0 in the case of the single-photon loss and the one-photon driving or the two-photon driving. The “super-Heisenberg scaling” disappears with the increase of the strength of the nonlinearity. When the system suffers from the two-photon loss in addition to the single-photon loss, the optimal measurement precision will not appear at the nonlinearity χ=0 in the case of the one-photon driving. Counterintuitively, in the case of the two-photon driving we find that it is not the case that the higher the two-photon loss, the lower the measurement precision. It means that the measurement precision of χ can be improved to some extent by increasing the two-photon loss.http://www.sciencedirect.com/science/article/pii/S221137972200571XQuantum estimationKerr nonlinearityDriven-dissipative systemsSuper-Heisenberg |
| spellingShingle | Dong Xie Chunling Xu An Min Wang Quantum estimation of Kerr nonlinearity in driven-dissipative systems Results in Physics Quantum estimation Kerr nonlinearity Driven-dissipative systems Super-Heisenberg |
| title | Quantum estimation of Kerr nonlinearity in driven-dissipative systems |
| title_full | Quantum estimation of Kerr nonlinearity in driven-dissipative systems |
| title_fullStr | Quantum estimation of Kerr nonlinearity in driven-dissipative systems |
| title_full_unstemmed | Quantum estimation of Kerr nonlinearity in driven-dissipative systems |
| title_short | Quantum estimation of Kerr nonlinearity in driven-dissipative systems |
| title_sort | quantum estimation of kerr nonlinearity in driven dissipative systems |
| topic | Quantum estimation Kerr nonlinearity Driven-dissipative systems Super-Heisenberg |
| url | http://www.sciencedirect.com/science/article/pii/S221137972200571X |
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