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Journal of Experimental and Theoretical Physics

Three-dimensional interference effects in the mechanical action of weak biharmonic fields upon particles with the J=0 → J=1 quantum transition

S. A. Gavrilyuk, I. V. Krasnov, Sergey P. Polyutov

Published Nov 1, 2001• 0 citations
Publisher

Abstract

Explicit expressions are derived for the rectified radiative forces (RRFs) related to the action of a weak interfering optical field of an arbitrary three-dimensional (3D) configuration upon resonance particles featuring the J =0 → J =1 quantum transition. It is shown that, in contrast to the case of a monochromatic field, there are simple 3D biharmonic field configurations for which the ratio of the vortex and potential RRF components can be controlled by adjusting frequencies and polarizations of the interfering light waves. This modification of the RRF structure gives rise to qualitatively different types of both vortex and potential light-induced particle motions that may lead to a 3D spatial localization (confinement) of these particles within the cells of an effective optical lattice with a period significantly greater than the light wavelength. In particular, the particles may perform a stable rotational motion along closed trajectories inside the elementary cells.

DOI
10.1134/1.1427110

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Explicit expressions are derived for the rectified radiative forces (RRFs) related to the action of a weak interfering optical field of an arbitrary three-dimensional (3D) configuration upon resonance particles featuring the J =0 → J =1 quantum transition. It is shown that, in contrast to the case of a monochromatic field, there are simple 3D biharmonic field configurations for which the ratio of the vortex and potential RRF components can be controlled by adjusting frequencies and polarizations of the interfering light waves. This modification of the RRF structure gives rise to qualitatively different types of both vortex and potential light-induced particle motions that may lead to a 3D spatial localization (confinement) of these particles within the cells of an effective optical lattice with a period significantly greater than the light wavelength. In particular, the particles may perform a stable rotational motion along closed trajectories inside the elementary cells.
A radiation-pressure force, changing only slightly within the wavelength of light (rectification effect), has been shown to arise in interfering fields. In a monochromatic field a rectified force (RF) has the scale of a spontaneous light-pressure force, and it is mainly a vortex one. In a bichromatic field the RF has the order of magnitude of the induced light-pressure force and does saturate in a strong field. The spatial RF structure can be either potential or rotational. The depth of the potential wells generated by the RF can exceed by several orders of magnitude the energy of the atom–field interaction, and it can reach 10 K and larger. A vortex periodic RF results either in regular rotating motion or in a random walk of atoms along the boundaries of elementary cells of the force field. Possible applications of the RF are discussed.
Based on the developed kinetic theory of rectified radiative forces, we found sufficient conditions for purely optical (nonmagnetic) three-dimensional confinement and cooling of atoms with the J =0 → J =1 quantum transition in a weak field of mutually orthogonal bichromatic standing waves. We show that a deep stable atom localization of atoms in the cells of an effective light superlattice (with a spacing much larger than the light wavelength) can be achieved by controlling the phase shifts (time-difference phase) of the temporal oscillations in orthogonally polarized field components and by specially choosing the field parameters. The proposed scheme of purely optical confinement can be directly used for a large group of atoms like Yb isotopes and alkali-earth elements with even-even nuclei.
The light force on slow atoms in a light field with arbitrary polarization distribution is explicitly evaluated in the case of an atomic transition J yields J with half-integer J values. The expression of the force is based on an exact analytical expression for the steady-state density matrix of the atoms. The force is naturally separated in contributions resulting from gradients of the field intensity, the polarization ellipticity, and the phase. In addition to a conservative part this force also contains a vortex component. In areas of spatial localization, where the total force vanishes, the atomic motion is governed by a potential, which in general is not harmonic for J greater than 1/2. Simple model of the formation of a one- or two-dimensional spatial atomic grating in a specific light field configuration illustrates the results.
A new scheme of three-dimensional (3D) all-optical (nonmagnetic) cooling and trapping of resonant atoms, based on using of so-called rectified radiation forces in non-monochromatic light fields is presented. It can be applied to the atoms with a tripod-type configuration of levels: atoms (ions) with the quantum transition F=1 \to F=0. The scheme proposed provides a long-term trapping of such atoms in deep light-induced potential wells. Moreover, the atom temperature can continuously be changed by varying field parameters in quite a large range (from super-Doppler to sub-Doppler values) without violating the localization stability.
The rectification of the force of induced light pressure in laser fields formed by elliptically polarized running waves in zero magnetic field is considered. Explicit analytic expressions for the induced and spontaneous forces of light pressure exerted on a stationary atom are obtained for two classes of closed optical transitions: J g = J → J e = J +1 and J g = J → J e = J ( J is half-integral), where J g and J e are the total angular momenta of the ground and excited energy levels. It is shown that the ellipticity of waves is the necessary condition for the emergence of the rectification of the induced force in a monochromatic field. The optimal parameters of the field and the maximum rectification coefficient are calculated for a number of optical transitions. The dependence of the rectified force on the velocity is investigated analytically and numerically for the simplest 1/2→1/2 transition.
Abstract We propose a scheme to obtain a deep optical superlattice (OSL) for resonant impurity particles in a buffer gas. In contrast to the well-known traditional methods of forming optical lattices (supelattices) that are based on the gradient force of radiation pressure, the presented scheme is based on the effect of a light induced drift (LID) in interfering light waves. The principle of its operation is based on the conception of so-called rectified forces induced by interfering bichromatic optical fields, which was developed earlier in the theory of resonant radiation-pressure forces. In the scheme under consideration, a deep OSL (with a period much larger than the optical wavelength) is formed due to the action of the effective rectified force on atomic particles which is proportional to the difference between the frequencies of transport collisions of excited and unexcited particles with buffer gas atoms.