Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster I

Q 35.94: Poster

Tuesday, March 19, 2013, 16:00–18:30, Empore Lichthof

Multifractality of quantum wave packets — •John Martin¹, Ignacio Garcia-Mata^2,3, Olivier Giraud⁴, and Bertrand Georgeot^5,6 — ¹Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, Bât. B15, B - 4000 Liège, Belgium — ²Instituto de Investigaciones Fisicas de Mar del Plata, CONICET-UNMdP, Funes 3350, B7602AYL Mar del Plata, Argentina — ³Consejo Nacional de Investigaciones Científicas y Tecnológicas, Buenos Aires, Argentina — ⁴LPTMS, CNRS and Université Paris-Sud, UMR 8626, Bât. 100, 91405 Orsay, France — ⁵Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), F-31062 Toulouse, France — ⁶CNRS, LPT (IRSAMC), F-31062 Toulouse, France

We study the multifractality of individual wave packets in a periodically kicked system through a combination of numerical and analytical works. We consider a version of the mathematical Ruijsenaars-Schneider model and reinterpreted 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 [1]. 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.

[1] I. Garcia-Mata, J. Martin, O. Giraud, B. Georgeot, Phys. Rev. E 86, 056215 (2012).