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arXiv:1401.4587 · Laser Physics Letters

Giant modification of atomic transition probabilities induced by a magnetic field: forbidden transitions become predominant

Armen D. Sargsyan, A. Tonoyan, G. Hakhumyan, A. Papoyan, E. Mariotti, David G. Sarkisyan

Published Apr 4, 2014• 48 citations
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Abstract

The magnetic field-induced giant modification of probabilities for seven components of 6S 1/2 , F g = 3 → 6P 3/2 , F e = 5 transition of the Cs D 2 line, forbidden by selection rules, is observed experimentally for the first time. For the case of excitation with circularly polarized laser radiation, the probability of a F g = 3, m F = −3 → F e = 5, m F = −2 transition becomes the largest of 25 transitions of the F g = 3 → F e = 2,3,4,5 group in a wide-range magnetic field of 200–3200 G. Moreover, the modification is the largest among D 2 lines of alkali metals. A half-wave-thick cell (the length along the beam propagation axis L = 426 nm) filled with Cs has been used in order to achieve sub-Doppler resolution, which allows the large number of atomic transitions that appear in the absorption spectrum to be separated when an external magnetic field is applied. For B > 3000 G the group of seven transitions F g = 3 → F e = 5 is completely resolved and is located at the high frequency level of F g = 3 → F e = 2,3,4 transitions. The applied theoretical model describes very well the experimental curves.

DOI
10.1088/1612-2011/11/5/055701

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Abstract Selective reflection of a laser radiation from an interface formed by a dielectric window and a potassium atomic vapour confined in a nano-cell with 350 nm gap thickness is implemented for the first time to study the atomic transitions of K D 2 line in external magnetic fields. In moderate B -fields, there are 44 individual Zeeman transitions which reduce to two groups (one formed by σ + , the other one by σ − circularly-polarised light), each containing eight atomic transitions, as the magnetic field increases. Each of these groups contains one so-called ‘guiding’ transition whose particularities are to have a probability (intensity) as well as a frequency shift slope (in MHz G −1 ) that are constant in the whole range of 0–10 kG magnetic fields. In the case of π -polarised laser radiation, among eight transitions, two are forbidden at B = 0, yet their probabilities undergo a giant modification under the influence of a magnetic field. We demonstrate that for B -fields > 165 G a complete hyperfine Paschen–Back regime is observed. Other peculiarities of K D 2 line behaviour in magnetic field are also presented. We show a very good agreement between theoretical calculations and experiments. The recording of the hyperfine Paschen–Back regime of K D 2 line with high spectral resolution is demonstrated for the first time.

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The magnetic field-induced giant modification of probabilities for seven components of 6S 1/2 , F g = 3 → 6P 3/2 , F e = 5 transition of the Cs D 2 line, forbidden by selection rules, is observed experimentally for the first time. For the case of excitation with circularly polarized laser radiation, the probability of a F g = 3, m F = −3 → F e = 5, m F = −2 transition becomes the largest of 25 transitions of the F g = 3 → F e = 2,3,4,5 group in a wide-range magnetic field of 200–3200 G. Moreover, the modification is the largest among D 2 lines of alkali metals. A half-wave-thick cell (the length along the beam propagation axis L = 426 nm) filled with Cs has been used in order to achieve sub-Doppler resolution, which allows the large number of atomic transitions that appear in the absorption spectrum to be separated when an external magnetic field is applied. For B > 3000 G the group of seven transitions F g = 3 → F e = 5 is completely resolved and is located at the high frequency level of F g = 3 → F e = 2,3,4 transitions. The applied theoretical model describes very well the experimental curves.
Selective reflection of 852-nm laser radiation from the interface between cesium vapor and the sapphire window of a 30-micrometer-thick microcell was used to record an extreme increase in the probability of the Fg=3→Fe=5 transitions associated with the Cs-atom D2 lines in magnetic fields with inductions ranging from 300 to 3200 Gauss. We showed that a group of seven transitions Fg=3, mF=−3, −2, −1, 0, +1, +2, +3→Fe=5, mF=−2, −1, 0, +1, +2, +3, +4 was formed in accordance with the selection rules ΔmF=+1 for σ+-circularly-polarized radiation. These seven transitions have much higher probabilities in 500–1000 Gauss magnetic fields, with three of the transitions having probabilities higher than all of the other transitions originating from the level Fg=3. In magnetic fields with induction greater than 3000 Gauss, this group of seven transitions at the high-frequency end of the spectrum is completely separate from the group of transitions with Fg=3→Fe=4. Comparison of the frequencies and probabilities of these seven atomic transitions with those for the transitions Fg=3→Fe=5 showed good agreement between theory and experiment. We also discuss potential practical applications for these transitions.
Transitions F e − F g = Δ F = ±2 between the excited and ground levels of the hyperfine structure of the Cs D 2 atomic line in an external magnetic field of 300–3000 G have been studied for the first time with the use of σ + and σ − circularly polarized radiation. Selection rules forbid these transitions in zero magnetic field. At the same time, the probabilities of these transitions in a magnetic field increase significantly; for this reason, we refer to these transitions as magnetically induced transitions. The following rule has been found for the intensities of 24 magnetically induced F g = 3 → F e = 5 and F g = 4 → F e = 2 transitions: the intensities of magnetically induced transitions with Δ F = +2 are maximal (the number of such magnetically induced transitions is also maximal) in the case of σ + polarized radiation, whereas the intensities of magnetically induced transitions with Δ F = −2 are maximal (the number of such transitions is also maximal) in the case of σ − σ + and σ − polarized radiation can reach several orders of magnitude; i.e., anomalous circular dichroism is observed. For an experimental test, absorption spectra of a Cs-filled nanocell with the thickness equal to half the wavelength of resonant laser radiation = 852 nm have been analyzed in order to separately detect magnetically induced transitions. The experiment is in good agreement with the theory. Possible applications have been discussed.
The impact of the optical field polarization on the spectrum of magnetically-induced transitions, a class of transitions forbidden at zero magnetic field, is studied with a weak-probe sub-Doppler technique. The high spectral resolution of the technique combined with the simplicity in interpreting the observed spectra allows to follow the behavior of individual transitions as a function of the magnetic field amplitude. We observe only one intense transition (out of 2 F g + 1 , where F is the quantum number associated with the total angular momentum of the atom) in the case of π -polarized laser radiation (a configuration where the applied magnetic field is parallel to the electric field from the laser radiation) in the F g → F g + 2 manifolds of 85 Rb, 87 Rb and 133 Cs for fields above a few hundreds of gauss. We show that this behavior is in agreement with a model based on the diagonalization of the Zeeman Hamiltonian matrix. With the rapid development of micro-machined vapor-cell-based sensors, these results will be of use to magnetometers operating above Earth field, wide-range laser frequency stabilization systems and atomic Faraday filters. • Magnetically-induced transitions of Rb and Cs D2 lines are studied with π -polarization. • An anomalous behavior of magnetically-induced transition intensities is observed. • These features are studied with a high spectral resolution technique based on nanocell. • Observed features, well described by theory, are expected for all other alkali transitions.
Abstract Two types of magnetically induced (MI) transitions in cesium atoms were studied experimentally and theoretically. The MI transitions are forbidden in the absence of magnetic field. Probabilities of MI transitions rapidly grow with increase in magnetic field and can exceed those of transitions allowed in the absence of magnetic field. Asymptotic behavior of probabilities of MI transitions in strong magnetic fields is different. In the case of magnetically induced transitions of the first type (MI1), transition probabilities experience giant increase with increase in the applied magnetic field, and with a further increase of the magnetic field, the probabilities of these transitions tend to asymptotic large value. Probabilities of magnetically induced transitions of the second type (MI2) also experience giant increase with increase in the applied magnetic field. However, probabilities of such transitions tend to zero again with further increase in the magnetic field. It is demonstrated that measurement of the second derivative (SD) of absorption spectra of Cs vapor contained in a nanocell with thickness L = 426 nm corresponding to half the wavelength of the D2 line of cesium (λ = 852 nm) enables conducting Doppler-free spectroscopy. Narrow width of atomic lines and linear relation between the SD signal amplitudes and transition probabilities allows studying individual atomic transitions in an external transverse magnetic field with induction varying from 0.5 to 5.3 kG. In particular, four MI transitions were studied: two MI1 and two MI2 ones. Theoretical calculations agree well with the experimental results.
Abstract The “mixing” of magnetic sublevels of the ground and excited levels of an atomic transition with magnetic sublevels of a nearby transition (in the hyperfine structure of atoms of alkali metals) is responsible for a strong modification of its probability. A dramatic manifestation of this mixing effect is a huge increase in the probability of the atomic transition in magnetic fields that is forbidden by selection rules in zero magnetic field B = 0; the latter is called a magnetically induced (MI) transition. Two MI transitions with different dependences on B have been studied. Another dramatic manifestation of the mixing effect is that there are atomic transitions whose frequency is practically fixed in a wide range of magnetic fields, i.e., the slope S [MHz/G] of the frequency shifts as a function of B is practically zero, with the transition probability being significant. We call these transitions “unmoved” transitions (UTs). We have studied the UTs of 87Rb atoms, the D2 line, |1, +1〉 → |1', +1'〉 and Cs atoms, the D2 line, |3, –3〉 → |5', –4'〉, where the quantum numbers F and mF of the excited and ground levels are marked with and without primes, respectively. We show that in the range B = 180–705 G for 87Rb, the D2 line, |S| ≤ 0.03 MHz/G; for comparison, S ≈ 3.6 MHz/G for 87Rb in the same B range for the MI transition |1, +1〉 → |3', +2'〉 is greater by a factor of 120. A second laser was used to control the UT amplitude. Our theoretical model describes well the experiment.
Abstract Selective reflection of a laser radiation from an interface formed by a dielectric window and a potassium atomic vapour confined in a nano-cell with 350 nm gap thickness is implemented for the first time to study the atomic transitions of K D 2 line in external magnetic fields. In moderate B -fields, there are 44 individual Zeeman transitions which reduce to two groups (one formed by σ + , the other one by σ − circularly-polarised light), each containing eight atomic transitions, as the magnetic field increases. Each of these groups contains one so-called ‘guiding’ transition whose particularities are to have a probability (intensity) as well as a frequency shift slope (in MHz G −1 ) that are constant in the whole range of 0–10 kG magnetic fields. In the case of π -polarised laser radiation, among eight transitions, two are forbidden at B = 0, yet their probabilities undergo a giant modification under the influence of a magnetic field. We demonstrate that for B -fields > 165 G a complete hyperfine Paschen–Back regime is observed. Other peculiarities of K D 2 line behaviour in magnetic field are also presented. We show a very good agreement between theoretical calculations and experiments. The recording of the hyperfine Paschen–Back regime of K D 2 line with high spectral resolution is demonstrated for the first time.