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• W2086071818 abstract "The problem of resonant generation of nonground-state condensates is addressed aiming at resolving the seeming paradox that arises when one resorts to the adiabatic representation. In this picture, the eigenvalues and eigenfunctions of a time-dependent Gross-Pitaevskii Hamiltonian are also functions of time. Since the level energies vary in time, no definite transition frequency can be introduced. Hence no external modulation with a fixed frequency can be made resonant. Thus, the resonant generation of adiabatic coherent modes is impossible. However, this paradox occurs only in the frame of the adiabatic picture. It is shown that no paradox exists in the properly formulated diabatic representation. The resonant generation of diabatic coherent modes is a well defined phenomenon. As an example, the equations are derived, describing the generation of diabatic coherent modes by the combined resonant modulation of the trapping potential and atomic scattering length." @default.
• W2086071818 created "2016-06-24" @default.
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• W2086071818 date "2009-05-01" @default.
• W2086071818 modified "2023-10-16" @default.
• W2086071818 title "Generation of nonground-state condensates and adiabatic paradox" @default.
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• W2086071818 doi "https://doi.org/10.1002/lapl.200910004" @default.
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