Kerr-type nonlinear quantum oscillator: quantum correlations, chaotic, and regular dynamics

J. K. Kalaga; M. W. Jarosik; R. Szczęśniak; A. Kowalewska-Kudłaszyk; W. Leoński

doi:10.1117/12.2516884

18 December 2018 Kerr-type nonlinear quantum oscillator: quantum correlations, chaotic, and regular dynamics

J. K. Kalaga, M. W. Jarosik, R. Szczęśniak, A. Kowalewska-Kudłaszyk, W. Leoński

Proceedings Volume 10976, 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 1097611 (2018) https://doi.org/10.1117/12.2516884
Event: 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2018, Lednice, Czech Republic

Abstract

We propose the second-order correlation function g⁽²⁾ as an indicator of quantum chaotic evolution. We discuss a nonlinear Kerr-like oscillator's system excited by a series of ultra-short coherent pulses. For such model, we study the time-evolution of the function g⁽²⁾ for various values of the strength of excitation which corresponds to the regular and chaotic behaviors of the classical counterpart of the Kerr-like quantum system.

Citation Download Citation

J. K. Kalaga, M. W. Jarosik, R. Szczęśniak, A. Kowalewska-Kudłaszyk, and W. Leoński "Kerr-type nonlinear quantum oscillator: quantum correlations, chaotic, and regular dynamics", Proc. SPIE 10976, 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 1097611 (18 December 2018); https://doi.org/10.1117/12.2516884

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