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Tue, 03 Oct 2000 00:00:00 +0100Tue, 03 Oct 2000 00:00:00 +0100Wannier-Stark Ladders in Driven Optical Lattices
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1058
The paper studies the effect of a weak periodic driving on metastable Wannier-Stark states. The decay rate of the ground Wannier-Stark states as a continuous function of the driving frequency is calculated numerically. The theoretical results are compared with experimental data of Wilkinson et at. [Phys.Rev.Lett.76, 4512 (1996)] obtained for cold sodium atoms in an accelerated optical lattice.Markus Glück; Hankel Michael; Andrey R. Kolovsky; Hans Jürgen Korscharticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1058Fri, 10 Mar 2000 00:00:00 +0100About universality of lifetime statistics in quantum chaotic scattering
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1059
The statistics of the resonance widths and the behavior of the survival probability is studied in a particular model of quantum chaotic scattering (a particle in a periodic potential subject to static and time-periodic forces) introduced earlier in Ref. [5,6]. The coarse-grained distribution of the resonance widths is shown to be in good agreement with the prediction of Random Matrix Theory (RMT). The behavior of the survival probability shows, however, some deviation from RMT.Markus Glück; Andrey R. Kolovsky; Hans Jürgen Korscharticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1059Fri, 10 Mar 2000 00:00:00 +0100Resonant Tunneling of Wannier-Stark-States
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1060
Markus Glück; Andrey R. Kolovsky; Hans Jürgen Korschpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1060Fri, 10 Mar 2000 00:00:00 +0100Induced transitions between Wannier ladders
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1061
We study the transitions between the ground and excited Wannier states induced by a weak ac field. Because the upper Wannier states are several order of magnitude less stable than the ground states, these transitions decrease the global stability of the system characterized by the rate of probability leakage or decay rate. Using nonhermitian resonant perturbation theory we obtain an analytical expression for this induced decay rate. The analytical results are compared with exact numerical calculations of the system decay rate.Markus Glück; Hankel Michael; Andrey R. Kolovsky; Hans Jürgen Korscharticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1061Fri, 10 Mar 2000 00:00:00 +0100Fractal stabilization of Wannier-Stark resonances
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1062
The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to have a fractal structure as function of the so-called electric matching ratio, which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal nature of the spectrum in the system "atom in a standing laser wave", which is a quantum optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) also develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.Markus Glück; Andrey R. Kolovsky; Hans Jürgen Korscharticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1062Fri, 10 Mar 2000 00:00:00 +0100