Please use this identifier to cite or link to this item:
https://www.um.edu.mt/library/oar/handle/123456789/95794
Title: | Optimal estimation of matter-field coupling strength in the dipole approximation |
Authors: | Bernad, József Zsolt Sanavio, Claudio Xuereb, Andre |
Keywords: | Mathematical physics Quantum optics Quantum physics Bayesian statistical decision theory Physical measurements |
Issue Date: | 2019 |
Publisher: | American Physical Society |
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. |
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. |
URI: | https://www.um.edu.mt/library/oar/handle/123456789/95794 |
Appears in Collections: | Scholarly Works - FacSciPhy |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Optimal estimation of matter-field coupling strength in the dipole approximation.pdf Restricted Access | 947.19 kB | Adobe PDF | View/Open Request a copy |
Items in OAR@UM are protected by copyright, with all rights reserved, unless otherwise indicated.