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Atom traps are intended for trapping various atoms in a limited spatial region. However, potential localizing of an atom provides an appreciable perturbing effect on both external and internal degrees of freedom of the atom (shift of the atomic energy levels, modulation of the position and velocity of the atom, etc.). The best situation that may be expected is the cooling of the atom to a temperature corresponding to the energy of the atomic ground state, where the atom occupies the minimum phase space. Although the spatial motion of the atom is minimal in the ground state, this motion noticeably affects the internal degrees of freedom. In this work, we analyze approach to the minimization of the effect of the localizing field on the atom. Its essence is the use of the short-term and time-periodic action of the laser field on spatial motion of a very slow atom. In such a scheme, the atom is free of the perturbing effect of the localizing field for a certain time interval (1 – t p / T), where t p is the duration of the action and T is its repetition period. When femtosecond pulses are used, the relative time interval during which the atom is situated in the localizing field may be very short, i.e., 10 -7 -10 -6 of the total time interval of confining the atom in the trap. We have shown that the approach under consideration may provide the situation wherein the atom is subjected to the localizing field for only (10 -8 -10 -9) % of the total time interval of its localization; i.e., the atom is nearly at rest. The behavior of the particle under the action of periodic short force pulses has been actively studied in connection with the problem of classical and quantum chaos. We show that, under experimentally realizable conditions, it is possible to avoid chaos in the motion of the atom and to achieve its long-term spatial localization. The basic idea of the localization of the atom by a periodic sequence of short laser pulses is as follows. Laser light pulses are reflected from a mirror. The incident and reflected pulses “collide” at a certain distance from the mirror. The energy of a single femtosecond pulse is spatially localized at a size l = c / t p, where c is the speed of light and t p is the pulse duration. When the duration of the laser pulse is extremely short, i.e., equal to the period of light, its spatial size is equal to the laser wavelength. The region where pulses collide is the localization region for the atom and has the same size. Depending on the phase relations between the incident and reflected pulses, either a maximum or minimum of the laser-field intensity arises at the center of the overlapping of the pulses due to their interference. The atom that is placed in the pulse collision region is subjected to the gradient force of light pressure that is directed toward the center of the pulse overlapping region when the laser frequency is lower than the atomic transition frequency and intensity is maximal. After the action of a light pulse, the atom freely moves with a velocity determined by its initial velocity and the momentum gained from the laser field. We show that (i) the motion of atoms is finite in the coordinate and momentum spaces; and (ii) the action of short intense laser pulses is not breaking for atom (i.e., the atom is not ionized or no dynamic chaos arises). It has been shown that the atom can be localized with an absolute accuracy in the nanometer range. The time interval during which the atom is situated in the laser field is only 10 -7 -10 -8 of the total localization time interval.