The Jaynes-Cummings model and its descendants

Larson, Jonas; Mavrogordatos, Th. K.

doi:10.48550/arxiv.2202.00330

Cited by 3 publications

(1 citation statement)

References 1,401 publications

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“…Famously, Jaynes and Cummings [20] discussed the interaction of an electromagnetic field with an atom (see e.g., refs. [21,22] for a review and a textbook but also refs. [16,23]).…”

Section: Introductionmentioning

confidence: 99%

A Quantum Perspective on Oscillation Frequencies in Axion Dark Matter Experiments

Jaeckel,

Montoya,

Quint

2023

Annalen der Physik

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In this paper, the time evolution of signals in axion dark matter experiments is considered from a quantum perspective. The aim is to illuminate the specific case of axion experiments and not to contribute new results to the general discussion of the quantum/classical connection. Classically, one expects a signal oscillating with a frequency equal to the axion mass whose amplitude is slowly rising due to the tiny interaction of the axions with ordinary matter. Quantum mechanically the latter time‐scale arises from the small splitting in the energy levels induced by the interaction between the axions and the experiment. It is always present in suitable, sensitive experiments. Signals that oscillate with the axion mass arise from processes changing the axion number. For certain observables such oscillations are absent for special initial quantum states of the axions. Examples are shown where these special states can be affected by the experiment such that a signal oscillating with the axion mass re‐appears. Suitable correlators that feature an oscillation with the axion mass are discussed, and comments on the connection to the classical treatment are provided. Explicitly, the Cosmic Axion Spin Precession Experiment (CASPEr) is studied, but these findings are expected to be adaptable to other axion dark matter searches.

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“…Famously, Jaynes and Cummings [20] discussed the interaction of an electromagnetic field with an atom (see e.g., refs. [21,22] for a review and a textbook but also refs. [16,23]).…”

Section: Introductionmentioning

confidence: 99%

A Quantum Perspective on Oscillation Frequencies in Axion Dark Matter Experiments

Jaeckel,

Montoya,

Quint

2023

Annalen der Physik

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Perspective on superconducting qubit quantum computing

Ezratty

2023

Eur. Phys. J. A

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Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies

Abouelkhir¹,

SLAOUI²,

Hanane³

et al. 2023

J. Opt. Soc. Am. B

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Recently, the Hilbert–Schmidt speed, as a special class of quantum statistical speed, has been reported to improve interferometric phase in a single-parameter quantum estimation. Here, we test this concept in the multiparameter scenario where two laser phases are estimated in a theoretical model consisting of a three-level atom interacting with two classical monochromatic fields. When the atom is initially prepared in the lower bare state, taking into account the detuning parameters, we extract an exact analytical solution of the atomic density matrix in the case of a two-photon resonant transition. Further, we compare the performance of laser phase parameter estimation in individual and simultaneous metrological strategies and explore the role of quantum coherence in improving the efficiency of unknown multiphase shift estimation protocols. The obtained results show that the Hilbert–Schmidt speed detects the lower bound on the statistical estimation error as well as the optimal estimation regions, where its maximal corresponds to the maximal quantum Fisher information; further, the performance of simultaneous multiparameter estimation with individual estimation inevitably depends on the detuning parameters of the three-level atom. Aside from the quantum entanglement, the quantum coherence is also a crucial resource to improve the accuracy of a metrological protocol.

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The Jaynes-Cummings model and its descendants

Cited by 3 publications

References 1,401 publications

A Quantum Perspective on Oscillation Frequencies in Axion Dark Matter Experiments

A Quantum Perspective on Oscillation Frequencies in Axion Dark Matter Experiments

Perspective on superconducting qubit quantum computing

Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies

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