Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Quantum Chaos

DY 19.8: Talk

Wednesday, March 24, 2010, 16:15–16:30, H38

Levy distribution in many-body quantum systems — •Sergey Denisov, Alexey V. Ponomarev, and Peter Hanggi — Institute of Physics, University of Augsburg, Germany

Levy distribution is known to describe a whole range of complex phenomena: classical chaotic transport, processes of subrecoil laser cooling, fluctuations of stock market indices, time series of single molecule blinking events, bursting activity of small neuronal networks, to name a few. The appearance of Levy distribution in a system output is a strong indicator of a long-range correlation "skeleton" which conducts system intrinsic dynamics.

Using two complimentary approaches, the canonical and the grand-canonical formalisms, we discovered that the momentum distribution of N strongly interacting (hard-core) bosons at finite temperatures confined on a one-dimensional optical lattice obeys the Levy distribution. The tunable Levy spline reproduces momentum distributions up to one recoil momentum. Our finding allows for calibration of complex quantum many-body states by using a unique scaling exponent.

[1] A. V. Ponomarev, S. Denisov and P. Hanggi, arXiv:0907.4328