Perturbation theory for Wannier resonance states affected by ac field

The paper studies the effect of a weak ac field on the Wannier states, which are known to be the metastable states of a quantum particle in a periodic potential subject to a static field. Provided that the photon energy exactly matches the spacing of the Wannier–Stark ladder the system complex quasi...

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Bibliographic Details
Published inPhysics letters. A Vol. 258; no. 4; pp. 383 - 393
Main Authors Glück, M., Kolovsky, A.R., Korsch, H.J.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 26.07.1999
Subjects
Quantum resonances
Quasienergy states
Wannier states
03.65.-w
Quantum resonances
42.50.Vk
Quasienergy states
73.20.Dx
Wannier states
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Summary:The paper studies the effect of a weak ac field on the Wannier states, which are known to be the metastable states of a quantum particle in a periodic potential subject to a static field. Provided that the photon energy exactly matches the spacing of the Wannier–Stark ladder the system complex quasienergy spectrum is obtained. It is shown, in particular, that a weak ac field can increase the lifetime of the Wannier states by several orders of magnitude. The analytical results of a perturbation theoretical analysis are compared against the exact numerical calculation of the system spectrum.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(99)00360-6