6 research outputs found
Entangled state preparation via dissipation-assisted adiabatic passages
The main obstacle for coherent control of open quantum systems is decoherence
due to different dissipation channels and the inability to precisely control
experimental parameters. To overcome these problems we propose to use
dissipation-assisted adiabatic passages. These are relatively fast processes
where the presence of spontaneous decay rates corrects for errors due to
non-adiabaticity while the system remains in a decoherence-free state and
behaves as predicted for an adiabatic passage. As a concrete example we present
a scheme to entangle atoms by moving them in and out of an optical cavity.Comment: 11 pages, 7 figures, minor changes, accepted for publication in Phys.
Rev.
Escaping points of entire functions of small growth
Let f be a transcendental entire function and let I(f) denote the set of points that escape to infinity under iteration. We give conditions which ensure that, for certain functions, I(f) is connected. In particular, we show that I(f) is connected if f has order zero and sufficiently small growth or has order less than 1/2 and regular growth. This shows that, for these functions, Eremenko’s conjecture that I(f) has no bounded components is true. We also give a new criterion related to I(f) which is sufficient to ensure that f has no unbounded Fatou components