Squeezing an harmonic oscillator with a sawtooth pulse

Journal Article · Mon Mar 01 04:00:00 EST 1993 · Journal of Soviet Laser Research; (United States)

DOI:https://doi.org/10.1007/BF01131002· OSTI ID:6233014

Dodonov, V V; Zhivotchenko, D V; Man'ko, V I

In recent years there has been a marked increase in quantum-system states called squeezed and correlated. The aim of this article is an examination of the case of a sawtooth time dependence of an oscillator frequency so as to obtain an exact solution. A sawtooth pulse simulates an experimental situation of interest and makes it possible to consider, in limiting cases, both a delta-function excitation and a slow variation of the frequency. The next section (Section 2) describes the approach based on the method of time-dependent integrals of motion. The classical equations of motion for a parametric oscillator with a sawtooth time dependence of the frequency are solved in Section 3, in a form convenient for finding the transition amplitudes of a quantum oscillator. In Section 4 the explicit forms of the transition amplitudes in the case of a sawtooth pulse are found. Section 5 investigates the excitation of an oscillator from an initial thermal-equilibrium state. The analysis of the results is presented in Section 6. 29 refs., 5 figs.

• OSTI ID: 6233014
• Journal Information: Journal of Soviet Laser Research; (United States), Journal Name: Journal of Soviet Laser Research; (United States) Vol. 14:2; ISSN JSLRDU; ISSN 0270-2010
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
661300 -- Other Aspects of Physical Science-- (1992-)
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DELTA FUNCTION
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUATIONS OF MOTION
EQUILIBRIUM
EQUIPMENT
FUNCTIONS
HARMONIC OSCILLATORS
LANGMUIR FREQUENCY
NUMERICAL SOLUTION
OSCILLATIONS
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
QUANTUM PLASMA
SAWTOOTH OSCILLATIONS
THERMAL EQUILIBRIUM
TIME DEPENDENCE
TRANSITION AMPLITUDES