NDLI: Quantum Nonlinear Oscillator with Two Degrees of Freedom in a Laser Field

Content Provider	Springer Nature Link
Author	Uleysky, M. Yu. Prants, S. V.
Copyright Year	2001
Abstract	The semiclassical dynamics of a quantum nonlinear oscillator with two degrees of freedom and anharmonicity of the fourth order in a periodic laser field is studied both analytically and numerically. In the absence of external excitation and dissipation, the equations of motion for the mean values of the coordinate and momentum operators of both degrees of freedom reduce to the equation of a one‐dimensional nonlinear pendulum. The general solution of this equation is written in terms of the Jacobian elliptic functions. As can be expected, the energy of the free oscillator is redistributed periodically between degrees of freedom. The periodic excitation of the nonlinear oscillator may substantially change its motion pattern. Using as an example an oscillator with two coupled vibrational degrees of freedom, it is numerically shown that the amount of laser photons absorbed depending on the parameter values and initial conditions may vary with time in a rather complex manner, including chaotic oscillations. A nonlinear oscillator is capable of manifesting bistable behavior with allowance for dissipation. The analytical condition for the origination of bistability is found. Examples of the bistable dependence of the number of quanta in the oscillator vibrational mode on the level of laser excitation are presented.
Starting Page	69
Ending Page	83
Page Count	15
File Format	PDF
ISSN	10712836
Journal	Journal of Russian Laser Research
Volume Number	22
Issue Number	1
e-ISSN	15738760
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2001-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied Optics, Optoelectronics, Optical Devices Electronic and Computer Engineering
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Engineering

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