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

Jahromi, Hossein Rangani; Radgohar, Roya; Hosseiny, Seyed Mohammad; Amniat-Talab, M.

doi:10.1088/1402-4896/ac9dc7

Cited by 4 publications

(4 citation statements)

References 73 publications

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“…Our work is inspired by the recent paper [60], which introduces HSS as a powerful figure of merit for enhancing estimation of energy spectrum of a three-level atom. However, our work differs from the aforementioned reference in several aspects.…”

Section: Introductionmentioning

confidence: 99%

“…However, our work differs from the aforementioned reference in several aspects. First, we investigate the relationship between the collective behavior of an atomic ensemble and the specific behavior of its components, while [60] examines the behavior of a single three-level atom. Second, our paper focuses on the nonlinear response of the material to laser fields, while [60] focuses on the linear response.…”

Section: Introductionmentioning

confidence: 99%

“…First, we investigate the relationship between the collective behavior of an atomic ensemble and the specific behavior of its components, while [60] examines the behavior of a single three-level atom. Second, our paper focuses on the nonlinear response of the material to laser fields, while [60] focuses on the linear response. Third, our paper uses HSS to monitor variations in refractive index, while the aforementioned reference uses it to enhance estimation of energy spectrum.…”

Section: Introductionmentioning

confidence: 99%

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Monitoring variations of refractive index via Hilbert–Schmidt speed and applying this phenomenon to improve quantum metrology

Hosseiny,

Rangani Jahromi,

Amniat-Talab

2023

J. Phys. B: At. Mol. Opt. Phys.

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In this paper, we investigate the role of the nonlinear response of a material to improve quantum metrology. We show that the collective optical behavior of an atomic ensemble can be applied to enhance frequency estimation through one of the atoms. In fact, the collective optical behavior of the atomic ensemble by analyzing the quantum information extracted from one of its elements. Moreover, we introduce Hilbert-Schmidt speed, an easily computable theoretical tool, to monitor the variations of linear as well as nonlinear refractive indices and evaluate the strength of the nonlinear response of optical materials. Furthermore, we illustrate that quantum Fisher information and Hilbert-Schmidt speed can efficiently detect negative permittivity and refractive index, which is of great importance from a practical point of view.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Monitoring variations of refractive index via Hilbert–Schmidt speed and applying this phenomenon to improve quantum metrology

Hosseiny,

Rangani Jahromi,

Amniat-Talab

2023

J. Phys. B: At. Mol. Opt. Phys.

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“…Additionally, quantum super-resolution for resolving two incoherent point sources of light [ 11 , 49 , 50 ] and many estimation problems concerning Gaussian quantum states [ 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 ] can be cast as multiparameter estimation problems. Given this motivation, there has been significant experimental [ 59 , 60 , 61 , 62 , 63 ] and theoretical [ 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80 , 81 , 82 , 83 , 84 , 85 ] interest in quantum multiparameter estimation. See Refs.…”

Section: Introductionmentioning

confidence: 99%

Multiparameter Estimation with Two-Qubit Probes in Noisy Channels

Conlon

Lam

Assad

2023

Entropy

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This work compares the performance of single- and two-qubit probes for estimating several phase rotations simultaneously under the action of different noisy channels. We compute the quantum limits for this simultaneous estimation using collective and individual measurements by evaluating the Holevo and Nagaoka–Hayashi Cramér-Rao bounds, respectively. Several quantum noise channels are considered, namely the decohering channel, the amplitude damping channel, and the phase damping channel. For each channel, we find the optimal single- and two-qubit probes. Where possible we demonstrate an explicit measurement strategy that saturates the appropriate bound and we investigate how closely the Holevo bound can be approached through collective measurements on multiple copies of the same probe. We find that under the action of the considered channels, two-qubit probes show enhanced parameter estimation capabilities over single-qubit probes for almost all non-identity channels, i.e., the achievable precision with a single-qubit probe degrades faster with increasing exposure to the noisy environment than that of the two-qubit probe. However, in sufficiently noisy channels, we show that it is possible for single-qubit probes to outperform maximally entangled two-qubit probes. This work shows that, in order to reach the ultimate precision limits allowed by quantum mechanics, entanglement is required in both the state preparation and state measurement stages. It is hoped the tutorial-esque nature of this paper will make it easily accessible.

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