Induction of a radio-optical dark resonance for a four-level models of alkaline atoms with optical pumping

The phenomenon of coherent population trapping for a four-level model of alkaline atoms with optical pumping by nonresonant light is analytically investigated. Expressions for experimentally observed signals are derived for different variants of induced magnetodipole transitions in the hyperfine structure of the ground state of atoms within the density matrix formalism. No light-induced frequency shift of the signal of radio-optical resonance is observed irrespective of the radio field amplitude and optical and thermal relaxation rates. It is demonstrated that with the use of modulation technique of phase detection of experimentally observed signal, its discrimination power reaches a maximum under conditions of simultaneous modulation of the pumping light intensity and radio-field frequency, which in principle is not observed in the classical two-level model of optically oriented atoms in the magnetic resonance. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 12–16, August, 2006.     

Contribution of the tensor component to the light shift of the rf optical microwave resonance frequency in rubidium vapor

We have calculated the tensor component of the light shift for the frequency of the rf optical microwave resonance on the magnetically independen 0−0 and 1, −1 transitions in rubidium-87 atoms under conditions of isotope filtering of the resonant pump light. We have observed a difference between the temperatures of the filter cell at which a zero frequency shift is achieved for the rf optical resonance for these transitions. We have noted that selective optical pumping on theD ₁ lines is advisable when using a two-photon microwave transition in rubidium vapor in applications. St. Petersburg State Technical University, St. Petersburg. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 42, No. 2, pp. 86–90, February, 1999.     

Light scattering by nanosized systems with different spatial organizations

The integrodifferential equation method is used to study the spectrum of a nanoparticle colloid for the example of interaction of three arbitrarily arranged dielectric particles made up of nonresonant atoms (the eigenfrequency of the transition is far from the emission frequency) with incorporated barium atoms in an external optical radiation field. The effect on the light-scattering properties of a nanosphere in the ensemble of its distant “neighbors” is studied; an additional peak associated with them is observed as a frequency close to the resonance for an isolated nanosphere, which under certain conditions has higher intensity than the main peak corresponding to optical near-field resonance in a two-particle system. The dependence of the spectrum of the nanosized system on the geometric structure is studied, and it is shown that very precise tuning of the resonance frequency is possible by varying the angular distribution of the particles. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 73, No. 5, pp. 641–646, September–October, 2006.     

Radio-frequency association of molecules: an assisted Feshbach resonance

We develop a theoretical model to describe the radio-frequency (rf) induced coupling of a pair of colliding atoms to a Feshbach molecule when a magnetic field arbitrarily far from the Feshbach resonance is modulated in time. We use the dressed atom picture, and show that the coupling strength in presence of rf is equal to the Feshbach coupling strength multiplied by the square of a Bessel function. The argument of this function is equal to the ratio of the atomic rf Rabi frequency to the rf frequency. We experimentally demonstrate this law by measuring the rate of rf-association of molecules using a Feshbach resonance in d wave collisions between ultra-cold chromium atoms.     

NMR Relaxometer Operating in a Continuous Mode upon Rapid Adiabatic Approach to Resonance

A nuclear magnetic resonance relaxometer operating in a continuous mode of the high-frequency low-power generation upon a rapid approach to resonance, and consequent “passage” through resonance for the time of the signal decay has been developed. In addition to the increased signal-to-noise ratio, the application of the periodic audio-frequency modulation of the magnetic field under adiabatic conditions has enabled us to obtain the absorption derivative, which, in turn, has allowed us to record the establishment of the thermodynamic equilibrium between spins and the lattice. Experimental data on the amplitude–relaxation response of the relaxometer are given. Spin–lattice relaxation times of some proton-containing substances have been determined as well.     

利用光泵磁共振实验测量重庆地区地磁场

通过光泵磁共振实验设计,对水平场、扫场信号、地磁场不同组合情况下的光泵磁共振信号进行了观测和记录,利用线性拟合的方法测算出铷原子的因子,测算误差只有0.24％；采用固定射频测地磁场的实验方法测得重庆地区的地磁场为0.391 8 GS.该应用实验成果丰富了创新性、实用性实验教学内容.     

Interrelationship between the polarization moments of different parity upon optical pumping of atoms under magnetic resonance conditions: III. Comparison of theory with experiment

The optical pumping of Cs atoms with light of the D ₁ line under magnetic resonance conditions is numerically calculated. This calculation is done to check the suggestion that an unexpectedly strong influence of the polarization of the pumping light on the resonance signals of transverse alignment, which we observed experimentally, is caused by the coupling between orientation and alignment by means of the magnetic field and/or the pumping light. This suggestion has been confirmed: upon circularly polarized pumping, the shape of the signal line of transverse alignment proved to be similar, as well as in the experiment, to the shape of the signal line of transverse orientation and was sharply different from the shape of the line of alignment observed upon linearly polarized pumping. For metastable 2³ S ₁ ⁴He atoms, in accordance with the experimental data, the calculated shape of the signal line of transverse alignment is found to be independent of the polarization of the pumping light. The calculations also confirm the possibility of a reverse effect: the influence of alignment on orientation, which manifests itself in the occurrence of orientation upon pumping with unpolarized light under magnetic resonance conditions. For Cs atoms exposed to a field of ～0.6 Oe, the largest contribution to this effect is yielded by the field coupling of orientation and alignment, whereas, for metastable 2³ S ₁ ⁴He atoms, the largest contribution is made by the light coupling of these polarization moments.     

Observation of oriented 23 S 1 helium atoms in a sodium-helium plasma irradiated by polarization-modulated laser radiation

An experiment on the observation of spin polarization of metastable helium atoms interacting with optically oriented sodium atoms under continuous rf discharge conditions is described. Laser radiation with alternating-sign circular polarization, tuned to the resonance excitation of the 3² S _1/2–3² P _1/2 transition in Na atoms, is used as the source for optical pumping of ground-state sodium atoms. Pis’ma Zh. éksp. Teor. Fiz. 65, No. 5, 385–387 (10 March 1997)     

The near-field effect in a system of two-level dipole particles

We have solved a self-consistent problem on interaction of two dipole atoms located at an arbitrary distance from each other with the field of a quasiresonance light wave, whose intensity is sufficient for the system to manifest nonlinear properties. The atoms are considered as two-level systems described by means of Bloch optical equations, while the field inside of the system includes both Coulomb and retarded parts. We consider a situation where atoms are identical and the distance between them is much smaller than the length of an outer light wave. The distribution of an electric field both inside of a small object and outside of it is found numerically. It is shown that the amplitude of the electric field in a wave zone depends substantially on the frequency of the external field and interatomic distance, while the field distribution differs from the field pattern of an electric dipole. At definite values of the external field intensity an optical multistability is a feature of the system under investigation. We have elucidated the conditions under which the multistability is manifested in the present system. The results obtained are considered as the near-field effect in the optics of small objects, which makes it possible to investigate the structure of small objects by means of optical radiation. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 67, No. 3, pp. 375–378, May–June, 2000. The present work was supported by the Russian Foundation for Fundamental Research (grant 98-02-16035) and by a grant from the Federal Purpose-Oriented Program “Integration.”     

Optimization of a magnetic-resonance signal under conditions of an unresolved radiofrequency spectrum of alkali atoms

The conditions for optimization of the regimes of optical pumping in optically oriented alkali atoms under total overlap of the components of low-frequency Zeeman and multiphoton shf resonances in the ground state are considered. The difference in the contribution of the light of pumping by the D₁ line to the rates of longitudinal and transverse relaxation is shown in terms of a two-level model of rubidium and cesium atoms, and values of the optimum pumping rate corresponding to the maximum of the quality factor of the recorded signal have been calculated. Experimental estimation of the relaxation rates was made by the signal of low-frequency Zeeman resonance in optically oriented rubidium and cesium atoms under conditions of homogeneous and inhomogeneous magnetic fields. It is shown that in pumping by the D₁ line from a lamp source and with balance of the dark times of the longitudinal and transverse relaxation the optimum pumping rate differs significantly from its values known from the literature. St. Petersburg State Technical University, 29, Politekhnicheskaya St., St. Petersburg, 195251, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 1, pp. 71–75, January–February, 1997.     

A Radio Frequency Field Guide Using Field Induced Adiabatic Potential

We study the behaviour of atoms in a field with both static magnetic field and radio frequency （rf） magnetic field. We calculate the adiabatic potential of atoms numerically beyond the usually rotating wave approximation, and it is pointed that there is a great difference between using these two methods. We find the preconditions when RWA is valid. In the extreme of static field almost parallel to rf field, we reach an analytic formula. Finally, we apply this method to 87 Rb and propose a guide based on an rf field on atom chip.     

提高激光抽运铯原子磁力仪灵敏度的研究

本文报道了一种基于激光抽运射频共振的铯原子磁力仪. 通过圆偏振光将铯原子抽运到暗态, 实现偏极化. 外磁场存在时, 原子磁矩将以拉莫尔频率绕外磁场进动. 在共振射频磁场的作用下, 原子被去极化而重新吸收光子. 通过探测出射光光谱可以测得拉莫尔频率进而得到外磁场的信息. 本文通过运用自制的894 nm 外腔半导体激光器, 建立了激光稳频装置和低噪声磁场测量环境, 实现了一种基于铯原子激光抽运射频共振的磁力仪. 通过磁力仪参数优化以及闭环测量, 磁力仪测量的外磁场达到了19 fT/Hz^1/2的极限灵敏度和1.8 pT/Hz^1/2的本征灵敏度, 空间分辨率小于2 cm. 关键词： 光抽运 塞曼效应 光探测磁共振 磁力仪     

Optical detection of single-electron spin resonance in a quantum dot

We demonstrate optically detected spin resonance of a single electron confined to a self-assembled quantum dot. The dot is rendered dark by resonant optical pumping of the spin with a laser. Contrast is restored by applying a radio frequency (rf) magnetic field at the spin resonance. The scheme is sensitive even to rf fields of just a few microT. In one case, the spin resonance behaves as a driven 3-level lambda system with weak damping; in another one, the dot exhibits remarkably strong (67% signal recovery) and narrow (0.34 MHz) spin resonances with fluctuating resonant positions, evidence of unusual dynamic processes.     

Linear intermode conversion of electromagnetic wave energy in a magnetically soft gyrotropic material

The excitation of axial radio-frequency (rf) magnetic induction by an axial rf current is observed in a conductor with circular magnetic anisotropy when a weak magnetizing field is applied. The conductor is an amorphous cobalt-based wire, which exhibits azimuthal magnetic anisotropy. It serves as the central conductor in a coaxial line. The axial rf magnetic induction produces an emf in an induction coil coaxial to the conductor. The induction coil is part of a matched receiving circuit. The power conversion coefficient is as high as tens of percent. The measurements demonstrate the high sensitivity of the conversion coefficient to an external field. The theory of ferromagnetic resonance faithfully describes the results of the observations. Zh. Tekh. Fiz. 69, 58–63 (March 1999)     

高密度冷原子云辐射陷获效应造成的荧光减弱现象

实验测量了磁光阱的磁场关断之后的荧光变化,观察到几十ms量级的荧光上升过程. 根据实验条件进行分析,在高密度冷原子云中辐射陷获效应造成额外的非相干抽运光场是造成磁光陷阱紧束缚状态下荧光减弱的原因. 同时还进行了简单的数值模拟,结果表明只有考虑到散射光场的频率重分布效应,计算结果方能与实验符合. 关键词： 冷原子云 辐射陷获 频率重分布     

Tunable atomic magnetometer for detection of radio-frequency magnetic fields

We describe an alkali-metal magnetometer for detection of weak magnetic fields in the radio-frequency (rf) range. High sensitivity is achieved by tuning the Zeeman resonance of alkali atoms to the rf frequency and partially suppressing spin-exchange collisions in the alkali-metal vapor. We demonstrate magnetic field sensitivity of 2 fT/Hz(1/2) at a frequency of 99 kHz with a resonance width of 400 Hz. We also derive a simple analytic expression for the fundamental limit on the sensitivity of the rf magnetometer and show that a sensitivity of about 0.01 fT/Hz(1/2) can be achieved in a practical system with a measurement volume of 200 cm3.     

On the role of strong turbulence in low-pressure rf discharges in a magnetic field

The results of an experimental and theoretical investigation of strong turbulence produced by an external rf field in the plasma of a beam-plasma discharge are presented. The modulation instability of a rf electric field, perpendicular to a constant magnetic field, in the frequency range between the lower-hybrid and ionic Langmuir frequencies, has been investigated. It is shown that the low-frequency fields can be used to control beam relaxation. Pis’ma Zh. éksp. Teor. Fiz. 64, No. 9, 608–612 (10 November 1996)     

Orientational frequency shifts of microwave 0-0 superfine resonance in 87Rb vapor with selective optical pumping

The orientational frequency shift of the UHF radio-optical resonance in the ⁸⁷Rb vapor with a selective optical pumping by laser and lamp sources is studied experimentally and theoretically. A leading role of the tensor component of the light shift is noticed for both excitation modes, and a modulation technique of the resonance frequency orientation shift suppression is demonstrated. We show that it is necessary to ensure a constancy of the angle between the pump light direction and the external magnetic field vector when using a rubidium quantum discriminator based on moving and rotating carriers.     

Radio-frequency modulation of the reflection of light in semiconductor heterostructures

A contact-free method of modulation spectroscopy of semiconductor heterostructures is developed. The method employs the effect of an intensity-modulated rf or microwave field on the reflection of the probe light and makes it possible to investigate electron-hole interaction effects in different layers of a heterostructure. A model is proposed which explains the characteristic features of the rf-modulated optical reflection spectra observed on selectively doped GaAs/AlGaAs heterostructures is proposed. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 3, 217–221 (10 February 1998)