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Journal of Russian Laser Research

Three-Dimensional Nonlinear Dynamics of Cold Atoms in an Optical Lattice and its Realizations

Sergey V. Prants, Leonid E. Kon’kov, A. A. Didov

Published Sep 1, 2021• 1 citation
Publisher
DOI
10.1007/s10946-021-09994-x

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The center of mass dynamics of cold atoms and the Bose-Einstein condensate in one dimensional optical lattice is considered both in the absence and in the presence of external forcing. We discuss three situations for matter waves: first, the cold atoms; second, sufficiently dilute condensate where the dynamics are governed by the single particle wave packet dynamics; third, strong interaction regime, where, inter-atomic interaction can no longer be ignored. The analytical formalism developed for the two regimes, namely, deep optical lattice and shallow optical lattice. Parametric dependencies of energy spectrum and classical period, revival time and super revival are explained for the two regimes. The dynamics of condensate in driven optical lattice crystal are analyzed by studying dynamical stability of the condensate. The stability is determined by the dispersion behavior of the condensate excited in driven optical lattice. The recurrence behavior of the condensate close to the nonlinear resonances is analyzed as a function of time for delicate recurrences which take place for instance when lattice is weakly perturbed and robust recurrences which may manifest themselves for sufficiently strong external driving force. The analysis is not only valid for dilute condensate but also applicable for strongly interacting homogeneous condensate provided, the external modulation causes no significant change in density profile of the condensate. We explain parametric dependence of the dynamical recurrence times which can easily be realized in laboratory experiments. In addition, we find a good agreement between the obtained analytical results and numerical calculations. The stability of condensate is also explored in driven optical lattice numerically.
We report on the experimental realization of a conservative optical lattice for cold atoms with a subwavelength spatial structure.The potential is based on the nonlinear optical response of three-level atoms in laser-dressed dark states, which is not constrained by the diffraction limit of the light generating the potential.The lattice consists of a one-dimensional array of ultranarrow barriers with widths less than 10 nm, well below the wavelength of the lattice light, physically realizing a Kronig-Penney potential.We study the band structure and dissipation of this lattice and find good agreement with theoretical predictions.Even on resonance, the observed lifetimes of atoms trapped in the lattice are as long as 44 ms, nearly 10 5 times the excited state lifetime, and could be further improved with more laser intensity.The potential is readily generalizable to higher dimensions and different geometries, allowing, for example, nearly perfect box traps, narrow tunnel junctions for atomtronics applications, and dynamically generated lattices with subwavelength spacings.
We report on the experimental realization of a conservative optical lattice for cold atoms with a subwavelength spatial structure. The potential is based on the nonlinear optical response of three-level atoms in laser-dressed dark states, which is not constrained by the diffraction limit of the light generating the potential. The lattice consists of a one-dimensional array of ultranarrow barriers with widths less than 10 nm, well below the wavelength of the lattice light, physically realizing a Kronig-Penney potential. We study the band structure and dissipation of this lattice and find good agreement with theoretical predictions. Even on resonance, the observed lifetimes of atoms trapped in the lattice are as long as 44 ms, nearly 10^{5} times the excited state lifetime, and could be further improved with more laser intensity. The potential is readily generalizable to higher dimensions and different geometries, allowing, for example, nearly perfect box traps, narrow tunnel junctions for atomtronics applications, and dynamically generated lattices with subwavelength spacings.