Matter-wave propagation in optical lattices |
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Authors: | Leonid E Konkov and Sergey V Prants |
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Institution: | 1.Laboratory of Nonlinear Dynamical Systems Pacific Oceanological Institute of the Russian Academy of Sciences,Vladivostok,Russia |
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Abstract: | Coherent propagation of atomic-matter waves in a one-dimensional optical lattice is studied. Wave packets of cold two-level
atoms propagate simultaneously in two optical potentials in a dressed-state basis. Three regimes of the wave-packet propagation
are specified by the quantity Δ2
/ω
D
, where Δ and ω
D
are the dimensionless atom–laser detuning and the Doppler shift, respectively. At Δ2
/ω
D
≫ 1, the propagation is essentially adiabatic, at Δ2
/ω
D
≪ 1, it is (almost) resonant, and at Δ2 ≃ ω
D
, the wave packets propagate nonadiabatically, splitting at each node of the standing wave. The latter means that the atom
makes a transition from one potential to the other one when crossing each node, and the probability of that transition is
given by a Landau–Zener-like formula. All the regimes of propagation are studied with δ-like and Gaussian wave packets in the momentum and position spaces. Varying the control parameters, we can create wave packets
trapped in a well of optical potentials and moving ballistically in a given direction in close analogy with point-like atoms.
Within some range of the parameters, we force the atom to move in a pure quamtum-mechanical manner in such a way that a part
of the packet is trapped in a well, and the other part propagates ballistically. The propagation modes are found to be characterized
by different types of time evolution of the uncertainty product and the Wigner function. |
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Keywords: | |
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