V. P. Berezovoj, M. I. Konchatnij, A. J. Nurmagambetov
Inspired by new trends in atomtronics, cold atoms devices and Bose-Einstein condensate dynamics, we apply general technique of N=4 extended Supersymmetric Quantum Mechanics to isospectral Hamiltonians with triple-well potentials, symmetric and asymmetric as well. Expressions of quantum-mechanical propagators, which take into account all states of the spectrum, are obtained, within N=4 SQM approach, in the closed form. For the initial Hamiltonian of harmonic oscillator we get the explicit expressions of potentials, wave functions and propagators. Obtained results are applied to tunneling dynamics of localized states in triple-well potentials and to studying its features. In particular, we observe a Josephson-type tunneling transition of a wave packet, the effect of its partial trapping, and a non-monotonic dependence of tunneling dynamics on the shape of a three-well potential. We investigate, among others, possibility to control tunneling transport by changing parameters of central well, and briefly discuss potential applications of this aspect to atomtronic devices.
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http://arxiv.org/abs/1209.0752
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