Experimental verification of the Breit–Rabi formula in the case of clock transition by using the spectroscopy method

Wu, Bin; Wang, Zhaoying; Cheng, Bing; Wang, Qiyu; Xu, Aopeng; Kong, Delong; Lin, Qiang

doi:10.1364/josab.31.000742

Cited by 7 publications

(3 citation statements)

References 23 publications

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“…In particular the experimental value (34) compared to the κ calculated with the Breit-Rabi formula is in excellent agreement with standard measurements [23,24]. Putting κ in natural units then the dimensions of κ are κ ∼ (length) 3 , and replacing (34) we find…”

supporting

confidence: 83%

Deformed Quantum Mechanics and the Landau Problem

Gamboa,

Méndez

2020

Preprint

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A deformation of the Landau problem based on a modification of Fock algebra is considered. Systems with the Hamiltonians f ( Ĥ) where Ĥ is the Landau Hamiltonian in the lowest level are discussed. The case f ( Ĥ) = α1 Ĥ + α2 Ĥ2 is studied and it is shown that in this particular example, parameters of the problem can be fixed by using the quadratic Zeeman effect data and the Breit-Rabi formula. The proposed approach allows to solve exactly Landau-like families of problems not previously discussed in the literature.

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supporting

confidence: 83%

Deformed Quantum Mechanics and the Landau Problem

Gamboa,

Méndez

2020

Preprint

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“…This method does not require microwave or radio frequency sources to drive Zeeman or hyperfine transitions for magnetic field calibration. Even if such sources are implemented in a setup, a reasonable guess of what the field value is makes it useful for more precise stray field cancellation methods based on driving rf/microwave or Raman transitions [35], which is usually much more time consuming. Since D1-line gray molasses cooling has been already demonstrated for all commonly laser-cooled alkali atoms, the present method could be appealing to many research groups.…”

Section: Discussionmentioning

confidence: 99%

Bidirectional, Analog Current Source Benchmarked with Gray Molasses-Assisted Stray Magnetic Field Compensation

2021

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In ultracold-atom and ion experiments, flexible control of the direction and amplitude of a uniform magnetic field is necessary. It is achieved almost exclusively by controlling the current flowing through coils surrounding the experimental chamber. Here, we present the design and characterization of a modular, analog electronic circuit that enables three-dimensional control of a magnetic field via the amplitude and direction of a current flowing through three perpendicular pairs of coils. Each pair is controlled by one module, and we are able to continuously change the current flowing thorough the coils in the ±4 A range using analog waveforms such that smooth crossing through zero as the current’s direction changes is possible. With the electrical current stability at the 10−5 level, the designed circuit enables state-of-the-art ultracold experiments. As a benchmark, we use the circuit to compensate stray magnetic fields that hinder efficient sub-Doppler cooling of alkali atoms in gray molasses. We demonstrate how such compensation can be achieved without actually measuring the stray fields present, thus speeding up the process of optimization of various laser cooling stages.

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“…Wu et al [129] measured the quadratic Zeeman coefficient of 87 Rb clock transition by using the Ramsey atom interferometer with an uncertainty of less than 1 Hz/G 2 , and they experimentally verified the Breit-Rabi formula. [130] Zhou et al [131] measured magnetic field gradient with an atom interferometer, the resolution of 90-s integration time is 300 pT/mm. Hu et al [132] demonstrated a differential method to reject the common-mode noise and to improve the measurement resolution of magnetic field gradient by two simultaneously operated atom interferometers.…”

Section: Other Precision Measurementsmentioning

confidence: 99%

Precision measurement with atom interferometry

Wang¹

2015

Chinese Phys. B

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Development of atom interferometry and its application in precision measurement are reviewed in this paper. The principle, features and the implementation of atom interferometers are introduced, the recent progress of precision measurement with atom interferometry, including determination of gravitational constant and fine structure constant, measurement of gravity, gravity gradient and rotation, test of weak equivalence principle, proposal of gravitational wave detection, and measurement of quadratic Zeeman shift are reviewed in detail. Determination of gravitational redshift, new definition of kilogram, and measurement of weak force with atom interferometry are also briefly introduced.

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Experimental verification of the Breit–Rabi formula in the case of clock transition by using the spectroscopy method

Cited by 7 publications

References 23 publications

Deformed Quantum Mechanics and the Landau Problem

Deformed Quantum Mechanics and the Landau Problem

Bidirectional, Analog Current Source Benchmarked with Gray Molasses-Assisted Stray Magnetic Field Compensation

Precision measurement with atom interferometry

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