Adiabatic sensing technique for optimal temperature estimation using trapped ions
We propose an adiabatic method for optimal phonon temperature estimation using trapped ions which can be operated beyond the Lamb-Dicke regime. The quantum sensing technique relies on a time-dependent red-sideband transition of phonon modes, described by the nonlinear Jaynes-Cummings model in genera...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013244 |
| _version_ | 1797211085781073920 |
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| author | Aleksandrina V. Kirkova Weibin Li Peter A. Ivanov |
| author_facet | Aleksandrina V. Kirkova Weibin Li Peter A. Ivanov |
| author_sort | Aleksandrina V. Kirkova |
| collection | DOAJ |
| description | We propose an adiabatic method for optimal phonon temperature estimation using trapped ions which can be operated beyond the Lamb-Dicke regime. The quantum sensing technique relies on a time-dependent red-sideband transition of phonon modes, described by the nonlinear Jaynes-Cummings model in general. A unique feature of our sensing technique is that the relevant information of the phonon thermal distributions can be transferred to the collective spin-degree of freedom. We show that each of the thermal state probabilities is adiabatically mapped onto the respective collective spin-excitation configuration and thus the temperature estimation is carried out simply by performing a spin-dependent laser fluorescence measurement at the end of the adiabatic transition. We characterize the temperature uncertainty in terms of the Fisher information and show that the state projection measurement saturates the fundamental quantum Cramér-Rao bound for a quantum oscillator at thermal equilibrium. |
| first_indexed | 2024-04-24T10:20:53Z |
| format | Article |
| id | doaj.art-cf7b68f13a0d45d69a9c123782c46a26 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:53Z |
| publishDate | 2021-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-cf7b68f13a0d45d69a9c123782c46a262024-04-12T17:08:15ZengAmerican Physical SocietyPhysical Review Research2643-15642021-03-013101324410.1103/PhysRevResearch.3.013244Adiabatic sensing technique for optimal temperature estimation using trapped ionsAleksandrina V. KirkovaWeibin LiPeter A. IvanovWe propose an adiabatic method for optimal phonon temperature estimation using trapped ions which can be operated beyond the Lamb-Dicke regime. The quantum sensing technique relies on a time-dependent red-sideband transition of phonon modes, described by the nonlinear Jaynes-Cummings model in general. A unique feature of our sensing technique is that the relevant information of the phonon thermal distributions can be transferred to the collective spin-degree of freedom. We show that each of the thermal state probabilities is adiabatically mapped onto the respective collective spin-excitation configuration and thus the temperature estimation is carried out simply by performing a spin-dependent laser fluorescence measurement at the end of the adiabatic transition. We characterize the temperature uncertainty in terms of the Fisher information and show that the state projection measurement saturates the fundamental quantum Cramér-Rao bound for a quantum oscillator at thermal equilibrium.http://doi.org/10.1103/PhysRevResearch.3.013244 |
| spellingShingle | Aleksandrina V. Kirkova Weibin Li Peter A. Ivanov Adiabatic sensing technique for optimal temperature estimation using trapped ions Physical Review Research |
| title | Adiabatic sensing technique for optimal temperature estimation using trapped ions |
| title_full | Adiabatic sensing technique for optimal temperature estimation using trapped ions |
| title_fullStr | Adiabatic sensing technique for optimal temperature estimation using trapped ions |
| title_full_unstemmed | Adiabatic sensing technique for optimal temperature estimation using trapped ions |
| title_short | Adiabatic sensing technique for optimal temperature estimation using trapped ions |
| title_sort | adiabatic sensing technique for optimal temperature estimation using trapped ions |
| url | http://doi.org/10.1103/PhysRevResearch.3.013244 |
| work_keys_str_mv | AT aleksandrinavkirkova adiabaticsensingtechniqueforoptimaltemperatureestimationusingtrappedions AT weibinli adiabaticsensingtechniqueforoptimaltemperatureestimationusingtrappedions AT peteraivanov adiabaticsensingtechniqueforoptimaltemperatureestimationusingtrappedions |