TY - JOUR
T1 - Scale-free relaxation of a wave packet in a quantum well with power-law tails.
AU - Mantegna, Rosario Nunzio
AU - Lillo, Fabrizio
AU - Micciche', Salvatore
AU - Paul, Tobias
AU - Lillo, Fabrizio
AU - Buchleitner, Andreas
AU - Wimberger, Sandro
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10447/71785
UR - http://iopscience.iop.org/1367-2630/15/3/033033
M3 - Article
VL - 15
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
ER -