Exponential decay and resonances in a driven system

2012/02/09 by Philippe Briet, Briet, Philippe, Claudio Fernández +1
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Cold Atom Physics and Bose-Einstein Condensates

paper · doi:10.48550/arxiv.1202.2027

Abstract

We study the resonance phenomena for time periodic perturbations of a Hamiltonian H on the Hilbert space L²(\mathbb R ^d). Here, resonances are characterized in terms of time behavior of the survival probability. Our approach uses the Floquet-Howland formalism combined with the results of L. Cattaneo, J.M. Graf and W. Hunziker on resonances for time independent perturbations.

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