Reference : Multifractality of quantum wave packets
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/134462
Multifractality of quantum wave packets
English
Garcia-Mata, Ignacio []
Martin, John mailto [Université de Liège - ULg > Département de physique > Optique quantique >]
Giraud, Olivier []
Georgeot, Bertrand []
Nov-2012
Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics
American Physical Society
86
056215
Yes (verified by ORBi)
International
1539-3755
1550-2376
College Park
MD
[en] We study a version of the mathematical Ruijsenaars-Schneider model and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter. We compare different methods to measure the multifractality of wave packets and identify the best one. We find the multifractality to decrease with time until it reaches an asymptotic limit, which is different from the multifractality of eigenvectors but related to it, as is the rate of the decrease. Our results could guide the study of experimental situations where multifractality is present in quantum systems.
http://hdl.handle.net/2268/134462

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