We consider a Wannier-Stark problem with only one ladder for weak field. We prove that a generic first-band state is a metastable state (Wannier-Bloch oscillator) oscillating because of a beating effect and decaying at the rate given by the imaginary part of the Wannier-Stark resonances. By this result we have at the same time the realization of the ideas of Bloch about the oscillations, of Wannier about the approximate quantization and of Zener about the metastability. Such oscillators, which generically perform a breathing mode motion in a large spatial region, have been experimentally observed.
Wannier-Bloch oscillators / V., Grecchi; Sacchetti, Andrea. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 197:(1998), pp. 553-569.
Wannier-Bloch oscillators
SACCHETTI, Andrea
1998
Abstract
We consider a Wannier-Stark problem with only one ladder for weak field. We prove that a generic first-band state is a metastable state (Wannier-Bloch oscillator) oscillating because of a beating effect and decaying at the rate given by the imaginary part of the Wannier-Stark resonances. By this result we have at the same time the realization of the ideas of Bloch about the oscillations, of Wannier about the approximate quantization and of Zener about the metastability. Such oscillators, which generically perform a breathing mode motion in a large spatial region, have been experimentally observed.
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