Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

• URL: http://arxiv.org/abs/2110.10256v1
• Date: Tue, 19 Oct 2021 20:45:29 GMT
• Title: Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes
• Authors: Hossein Rangani Jahromi, Roya Radgohar, Seyed Mohammad Hosseiny, Mahdi Amniat-Talab
• Abstract summary: We exploit quantum metrology research field focusing on estimation of unknown parameters exploiting quantum resources. We introduce the Hilbert-Schmidt speed (SHS), a special type of quantum statistical speed, as a powerful figure of merit for enhancing estimation of energy spectrum.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Determining the energy levels of a quantum system is a significant task, for instance, to analyze reaction rates in drug discovery and catalysis or characterize the compatibility of materials. In this paper we exploit quantum metrology, the research field focusing on the estimation of unknown parameters exploiting quantum resources, to address this problem for a three-level system interacting with laser fields. The performance of simultaneous estimation of the levels compared to independent one is also investigated in various scenarios. Moreover, we introduce, the Hilbert-Schmidt speed (HSS), a special type of quantum statistical speed, as a powerful figure of merit for enhancing estimation of energy spectrum. This measure is easily computable, because it does not require diagonalization of the system state, verifying its efficiency in high-dimensional systems.

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