We propose a setup for which a power-law decay is predicted to be observable for generic and realistic conditions. The system we study is very simple: a quantum wave packet initially prepared in a potential well with (i) tails asymptotically decaying like ~x−2 and (ii) an eigenvalues spectrum that shows a continuous part attached to the ground or equilibrium state. We analytically derive the asymptotic decay law from the spectral properties for generic, confined initial states. Our findings are supported by realistic numerical simulations for state-of-the-art expansion experiments with cold atoms.

Miccichè, S., Buchleitner, A., Lillo, F., Mantegna, R., Paul, T., & Wimberger, S. (2013). Scale-free relaxation of a wave packet in a quantum well with power-law tails. NEW JOURNAL OF PHYSICS, 15 [10.1088/1367-2630/15/3/033033].

Scale-free relaxation of a wave packet in a quantum well with power-law tails.

MICCICHE', Salvatore;LILLO, Fabrizio;MANTEGNA, Rosario Nunzio;
2013

Abstract

We propose a setup for which a power-law decay is predicted to be observable for generic and realistic conditions. The system we study is very simple: a quantum wave packet initially prepared in a potential well with (i) tails asymptotically decaying like ~x−2 and (ii) an eigenvalues spectrum that shows a continuous part attached to the ground or equilibrium state. We analytically derive the asymptotic decay law from the spectral properties for generic, confined initial states. Our findings are supported by realistic numerical simulations for state-of-the-art expansion experiments with cold atoms.
Settore FIS/07 - Fisica Applicata(Beni Culturali, Ambientali, Biol.e Medicin)
http://iopscience.iop.org/1367-2630/15/3/033033
Miccichè, S., Buchleitner, A., Lillo, F., Mantegna, R., Paul, T., & Wimberger, S. (2013). Scale-free relaxation of a wave packet in a quantum well with power-law tails. NEW JOURNAL OF PHYSICS, 15 [10.1088/1367-2630/15/3/033033].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/71785
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