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Calculation of modification of alkali metal atomic transition probability in strong external magnetic field and its application

Claude Leroy, G. Hakhumyan, Y. Pashayan-Leroy, David G. Sarkisyan

Published Oct 12, 2010• 0 citations
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Abstract

Interaction of alkali atoms with external magnetic field induced a splitting and a shift of their energy levels. We have study this interaction for external field from 0 to 5000 Gauss when the alkali vapor is confined in submicron thin vapor cell with thickness L = λ/2. Rubidium and Sodium vapors have been studied. The Hamiltonian can be expressed as the sum of the unperturbated atomic Hamiltonian and the so-called Zeeman Hamiltonian. The probability of a transition, induced by the laser electric field is proportional to the square of the transfer coefficients modified by the presence of the magnetic field. We will show that the strong nonlinearity of the transition intensities versus the external magnetic field intensity is obvious for B<1500 G. Some possible application for Laser Spectroscopy of the Rb and the Na atoms will be presented.

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Interaction of alkali atoms with external magnetic field induced a splitting and a shift of their energy levels. We have studied this interaction for external field from 0 to 5000 Gauss when the alkali vapor is confined in submicron thin vapor cell with thickness L = λ /2. Rubidium and Sodium vapors have been studied. The Hamiltonian can be expressed as the sum of the unperturbated atomic Hamiltonian and the so-called Zeeman Hamiltonian. The probability of a transition, induced by the laser electric field is proportional to the square of the transfer coefficients modified by the presence of the magnetic field. We will show that the strong nonlinearity of the transition intensities versus the external magnetic field intensity is obvious for B > 100 G. Some possible applications for Laser Spectroscopy of the Rb and the Na atoms are presented.

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A. Papoyan, David G. Sarkisyan

Sub-Doppler nature of atomic spectra in alkali metal vapor cells of nanometric thickness L (nanocells) allows one to study peculiarities of magneto-optical processes, which occur in a magnetic field for the case when L is of the order of λ (λ is a laser resonant wavelength). We particularly address the issues of practical implementation of the studied processes. The following results are presented. i) A "λ-Zeeman technique" exploiting velocity-selective optical pumping resonances in L = λ Rb cell placed in a B-field, which allows direct determination frequency shifts and modification of transition probabilities of individual Zeeman transitions in magnetic field and is applicable for development of wide-range (~ 0.1 - 1000 mT) optical magnetometers and tunable frequency reference. ii) A technique for locking the laser radiation frequency, B-field-tunable in ~ 500 MHz range, which is based on selective reflection of a circularly-polarized laser beam from Rb vapor cell with thickness L ≈ λ/2.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Dec 22, 2008•1 citation
Interaction of alkali atoms with external magnetic field induced a splitting and a shift of their energy levels. We have study this interaction for external field from 0 to 5000 Gauss when the alkali vapor is confined in submicron thin vapor cell with thickness L = λ/2. Rubidium and Sodium vapors have been studied. The Hamiltonian can be expressed as the sum of the unperturbated atomic Hamiltonian and the so-called Zeeman Hamiltonian. The probability of a transition, induced by the laser electric field is proportional to the square of the transfer coefficients modified by the presence of the magnetic field. We will show that the strong nonlinearity of the transition intensities versus the external magnetic field intensity is obvious for B<1500 G. Some possible application for Laser Spectroscopy of the Rb and the Na atoms will be presented.
Interaction of alkali atoms with external magnetic field induced a splitting and a shift of their energy levels. We have studied this interaction for external field from 0 to 5000 Gauss when the alkali vapor is confined in submicron thin vapor cell with thickness L = λ /2. Rubidium and Sodium vapors have been studied. The Hamiltonian can be expressed as the sum of the unperturbated atomic Hamiltonian and the so-called Zeeman Hamiltonian. The probability of a transition, induced by the laser electric field is proportional to the square of the transfer coefficients modified by the presence of the magnetic field. We will show that the strong nonlinearity of the transition intensities versus the external magnetic field intensity is obvious for B > 100 G. Some possible applications for Laser Spectroscopy of the Rb and the Na atoms are presented.
The energy levels of atoms placed in an external magnetic field undergo frequency shifts and changes in their transition probabilities. It is demonstrated that using fluorescence spectra from a submicron thin vapour cell (STC) with the thickness L = λ/2, it is possible to efficiently study the above mentioned changes (“half-λ Zeeman technique” (HLZT)). The circularly polarized beam of extended-cavity diode laser (λ = 794 nm, laser bandwidth γL < 1 MHz) resonant with 87Rb D1 transition, after passing through Faraday isolator is directed onto the Rb STC with the thickness L = λ/2. The temperature of the STC is 120 °C, corresponding to N ~ 1013 atom/cm3. STC was provided by a special oven with 3 openings: 2 inlets for laser beam passage, and one orthogonal inlet for side fluorescence detection. This geometry allows simultaneous recording of fluorescence and transmission spectra. STC with the oven is placed between two strong permanent ring magnets and by changing the distance between them it is possible to form a strong magnetic field up to 4500 G. In [1], “λ-Zeeman technique” (LZT) is shown to be efficient to study individual transitions between the Zeeman sublevels of hyperfine levels in an external magnetic field up to 2400 G. LZT uses STC with thickness L = λ, where λ is 794 nm (780 nm) for D1 line (D2 line) of Rb. Narrow velocity selective optical pumping/saturation (VSOP) resonances in the transmission spectrum of the STC are split into several components in the magnetic field; their frequency positions and probabilities depend on the B-field. We present comparison of HLZT and LZT in a wide region of magnetic fields up to 4500 G. We present the fluorescence spectrum for L = λ/2 and the transmission spectrum for L = λ. The VSOP resonances in the LZT-curve are narrower meanwhile the advantage of HLZT is that the fluorescence appears on a flat background. Applications such as magnetometer with high spatial resolution and the theoretical model describing well the experiment will be presented.
We propose a technique which we call “ L = λ Zeeman technique” (LZT) for investigation of the transitions between the Zeeman sublevels of the hfs structure of alkali metal atoms in external magnetic fields. The technique is based on the employment of a nanocell with the thickness of the Rb atom vapor column equal to the wavelength of the laser radiation, 780 nm, resonant with the atomic rubidium D 2 transition. At the laser intensities of about 1 mW/cm 2 in the transmission spectrum of the nanocell narrow (∼ 30 MHz) resonant peaks of reduced absorption appear localized exactly on the atomic transitions. In magnetic fields these peaks are split and their amplitudes and frequency positions depend on the magnetic field strength. The theoretical model well describes the experimental results.
We describe the so-called λ-Zeeman method to investigate individual hyperfine transitions between Zeeman sublevels of atoms in an external magnetic field of 0.1mT–0.25T. Atoms are confined in a nanocell with thickness L=λ, where λ is the resonant wavelength (794 or 780nm for D1 or D2 line, respectively, of Rb). Narrow resonances in the transmission spectrum of the nanocell are split into several components in a magnetic field; their frequency positions and transition probabilities depend on the B field. Possible applications are described, such as magnetometers with nanometric spatial resolution and tunable atomic frequency references.
The so-called "λ/2-Zeeman technique" (HLZT) for studies of individual optical transition between Zeeman sublevels of atomic hyperfine structure in an external magnetic field of B = 10 - 2500 G is presented. Particularly, implementation of HLZT allows one to realize a direct determination of frequency shift and a strong modification of an optical transition probability between Zeeman components in a B-field. The main advantages of the method compared to "λ-Zeeman technique" (LZT) is that it allows one to study weak transitions. Particularly, with the help of fluorescence on 87Rb, D2 line, Fg = 1 → Fe = 3 transitions, three "forbidden" transitions in magnetic field B are detected and studied. Also, on 87Rb D1 line, Fg = 1, mF = 0 → Fe = 1, mF = 0 "forbidden" transition is detected when B ~ 400 G. A strong modification of the probability for these "forbidden" transitions is revealed. The theoretical model well describes the observed results.
Sub-Doppler nature of atomic spectra in alkali metal vapor cells of nanometric thickness L (nanocells) allows one to study peculiarities of magneto-optical processes, which occur in a magnetic field for the case when L is of the order of λ (λ is a laser resonant wavelength). We particularly address the issues of practical implementation of the studied processes. The following results are presented. i) A "λ-Zeeman technique" exploiting velocity-selective optical pumping resonances in L = λ Rb cell placed in a B-field, which allows direct determination frequency shifts and modification of transition probabilities of individual Zeeman transitions in magnetic field and is applicable for development of wide-range (~ 0.1 - 1000 mT) optical magnetometers and tunable frequency reference. ii) A technique for locking the laser radiation frequency, B-field-tunable in ~ 500 MHz range, which is based on selective reflection of a circularly-polarized laser beam from Rb vapor cell with thickness L ≈ λ/2.