Theory of coherent interaction-free detection of pulses
Quantum physics allows an object to be detected even in the absence of photon absorption, by the use of so-called interaction-free measurements. We provide a formulation of this protocol using a three-level system, where the object to be detected is a pulse coupled resonantly into the second transit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.033012 |
| _version_ | 1797210475010719744 |
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| author | John J. McCord Shruti Dogra Gheorghe Sorin Paraoanu |
| author_facet | John J. McCord Shruti Dogra Gheorghe Sorin Paraoanu |
| author_sort | John J. McCord |
| collection | DOAJ |
| description | Quantum physics allows an object to be detected even in the absence of photon absorption, by the use of so-called interaction-free measurements. We provide a formulation of this protocol using a three-level system, where the object to be detected is a pulse coupled resonantly into the second transition. In the original formulation of interaction-free measurements, the absorption is associated with a projection operator onto the third state. We perform an in-depth analytical and numerical analysis of the coherent protocol, where coherent interaction between the object and the detector replaces the projective operators, resulting in higher detection efficiencies. We provide approximate asymptotic analytical results to support this finding. We find that our protocol reaches the Heisenberg limit when evaluating the Fisher information at small strengths of the pulses we aim to detect—in contrast to the projective protocol that can only reach the standard quantum limit. We also demonstrate that the coherent protocol remains remarkably robust under errors such as pulse rotation phases and strengths, the effect of relaxation rates and detunings, as well as different thermalized initial states. |
| first_indexed | 2024-04-24T10:11:11Z |
| format | Article |
| id | doaj.art-e7838d5d86954cec95408c088c1c4b66 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:11Z |
| publishDate | 2023-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e7838d5d86954cec95408c088c1c4b662024-04-12T17:32:20ZengAmerican Physical SocietyPhysical Review Research2643-15642023-07-015303301210.1103/PhysRevResearch.5.033012Theory of coherent interaction-free detection of pulsesJohn J. McCordShruti DograGheorghe Sorin ParaoanuQuantum physics allows an object to be detected even in the absence of photon absorption, by the use of so-called interaction-free measurements. We provide a formulation of this protocol using a three-level system, where the object to be detected is a pulse coupled resonantly into the second transition. In the original formulation of interaction-free measurements, the absorption is associated with a projection operator onto the third state. We perform an in-depth analytical and numerical analysis of the coherent protocol, where coherent interaction between the object and the detector replaces the projective operators, resulting in higher detection efficiencies. We provide approximate asymptotic analytical results to support this finding. We find that our protocol reaches the Heisenberg limit when evaluating the Fisher information at small strengths of the pulses we aim to detect—in contrast to the projective protocol that can only reach the standard quantum limit. We also demonstrate that the coherent protocol remains remarkably robust under errors such as pulse rotation phases and strengths, the effect of relaxation rates and detunings, as well as different thermalized initial states.http://doi.org/10.1103/PhysRevResearch.5.033012 |
| spellingShingle | John J. McCord Shruti Dogra Gheorghe Sorin Paraoanu Theory of coherent interaction-free detection of pulses Physical Review Research |
| title | Theory of coherent interaction-free detection of pulses |
| title_full | Theory of coherent interaction-free detection of pulses |
| title_fullStr | Theory of coherent interaction-free detection of pulses |
| title_full_unstemmed | Theory of coherent interaction-free detection of pulses |
| title_short | Theory of coherent interaction-free detection of pulses |
| title_sort | theory of coherent interaction free detection of pulses |
| url | http://doi.org/10.1103/PhysRevResearch.5.033012 |
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