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DC Field | Value | Language |
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dc.contributor.author | Bernad, József Zsolt | - |
dc.contributor.author | Sanavio, Claudio | - |
dc.contributor.author | Xuereb, Andre | - |
dc.date.accessioned | 2022-05-17T05:00:05Z | - |
dc.date.available | 2022-05-17T05:00:05Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Bernád, J. Z., Sanavio, C., & Xuereb, A. (2019). Optimal estimation of matter-field coupling strength in the dipole approximation. Physical Review A, 99(6), 062106. | en_GB |
dc.identifier.uri | https://www.um.edu.mt/library/oar/handle/123456789/95794 | - |
dc.description.abstract | This paper is devoted to the study of Bayesian-inference approach in the context of estimating the dipole coupling strength in matter–field interactions. In particular, we consider the simplest model of a two-level system interacting with a single-mode of the radiation field. Our estimation strategy is based on the emerging state of the two-level system, whereas we determine both the minimum mean-square error and maximum likelihood estimators for uniform and Gaussian prior probability density functions. In the case of the maximum likelihood estimator, we develop a mathematical method which extends the already existing approaches to the variational problem of the average cost function. We demonstrate that long interaction times, large initial mean photon numbers, and non-zero detuning between two-level system transition and the frequency of the electromagnetic field mode have a deleterious effect on the optimality of the estimation scenario. We also present several cases where the estimation process is inconclusive, despite many ideal conditions being met. | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | American Physical Society | en_GB |
dc.rights | info:eu-repo/semantics/restrictedAccess | en_GB |
dc.subject | Mathematical physics | en_GB |
dc.subject | Quantum optics | en_GB |
dc.subject | Quantum physics | en_GB |
dc.subject | Bayesian statistical decision theory | en_GB |
dc.subject | Physical measurements | en_GB |
dc.title | Optimal estimation of matter-field coupling strength in the dipole approximation | en_GB |
dc.type | article | en_GB |
dc.rights.holder | The copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder. | en_GB |
dc.description.reviewed | peer-reviewed | en_GB |
dc.identifier.doi | 10.1103/PhysRevA.99.062106 | - |
dc.publication.title | Physical Review A | en_GB |
Appears in Collections: | Scholarly Works - FacSciPhy |
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