Vincenzo Grecchi, Andrea Sacchetti
Lifetime of the Wannier-Stark resonances and perturbation theory
(266K, Postscript)
ABSTRACT. We consider the small field asymptotics of the lifetime of metastable states in
Wannier-Stark problems. Assuming that at zero field we have Bloch operators
with only the first gap open and using the regular perturbation theory, we
prove
that the behavior of the lifetime computed by means of the Fermi Golden Rule
is proportional to the correct one with the factor $(\pi /3)^2$. The
connection with
adiabatic problems is briefly discussed.
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