Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/101628
Title: Bistability and chaos at low levels of quanta
Authors: Chew, Lock Yue
Kryuchkyan, G. Yu
Gevorgyan, T. V.
Shahinyan, A. R.
Keywords: Physics & Applied Physics
Issue Date: 2013
Source: Gevorgyan, T. V., Shahinyan, A. R., Chew, L. Y., & Kryuchkyan, G. Y. (2013). Bistability and chaos at low levels of quanta. Physical Review E, 88(2), 022910-.
Series/Report no.: Physical review E
Abstract: We study nonlinear phenomena of bistability and chaos at a level of few quanta. For this purpose, we consider a single-mode dissipative oscillator with strong Kerr nonlinearity with respect to the dissipation rate driven by a monochromatic force as well as by a train of Gaussian pulses. The quantum effects and decoherence in the oscillatory mode are investigated in the framework of the purity of states and the Wigner functions calculated from the master equation. We demonstrate the quantum chaotic regime by means of a comparison between the contour plots of the Wigner functions and the strange attractors on the classical Poincaré section. Considering bistability at a low limit of quanta, we analyze the minimal level of excitation numbers at which the bistable regime of the system is displayed. We also discuss the formation of an oscillatory chaotic regime by varying oscillatory excitation numbers at ranges of a few quanta. We demonstrate quantum-interference phenomena that are assisted hysteresis-cycle behavior and quantum chaos for the oscillator driven by a train of Gaussian pulses. We establish the border of quantum-classical correspondence for chaotic regimes in the case of strong nonlinearities.
URI: https://hdl.handle.net/10356/101628
http://hdl.handle.net/10220/18702
DOI: 10.1103/PhysRevE.88.022910
Schools: School of Physical and Mathematical Sciences 
Rights: © 2013 American Physical Society. This paper was published in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevE.88.022910]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

Files in This Item:
File Description SizeFormat 
Bistability and chaos at low levels of quanta.pdf5.73 MBAdobe PDFThumbnail
View/Open

SCOPUSTM   
Citations 20

13
Updated on Mar 27, 2024

Web of ScienceTM
Citations 20

13
Updated on Oct 28, 2023

Page view(s) 50

599
Updated on Mar 29, 2024

Download(s) 20

329
Updated on Mar 29, 2024

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.