Journal of Physical Studies 15(1), Article 1002 [4 pages] (2011)
DOI: https://doi.org/10.30970/jps.15.1002

THE FIDELITY EVOLUTION FOR QUANTUM CHAOTIC KICKED KERR-LIKE NONLINEAR OSCILLATOR AND DISTANCE EFFECT OF THE INITIAL WAVE FUNCTIONS

J. K. Kalaga^{1}, A. Kowalewska-Kudłaszyk^{1}, W. Leoński^{2}, V. Cao Long^{2}
¹Nonlinear Optics Division, Department of Physics, Adam Mickiewicz University,
Umultowska, 85, 61-614 Poznań, Poland
²Quantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra,
ul. Prof. A. Szafrana 4a, 65-516 Zielona Góra, Poland

We discuss a system of the Kerr-like quantum nonlinear oscillator excited by a series of ultra-short external pulses. These coherent excitations, along with the nonlinearity involved in the system, can lead to the \textit{quantum chaotic} behaviour. For that model, we calculate the fidelities of the wave function which describe the system's dynamics. We show that such defined fidelity and its decay rate can be applied as an indicator of the \textit{quantum chaotic} behaviour appearance. We also discuss the problem of how the initial distance between the two close wave functions can influence the fidelity changes.

PACS number(s): 05.45.Mt, 42.50.Dv