A Damped Oscillator with a δ-Kicked Frequency in the Probability Representation of Quantum Mechanics


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Abstract

We obtain the tomogram of squeezed correlated states of a quantum parametric damped oscillator in an explicit form. We study the damping within the framework of the Caldirola–Kanai model and chose the parametric excitation in the form of a very short pulse simulated by a δ-kick of frequency; the squeezing phenomenon is reviewed for both models. The cases of strong and weak damping are investigated.

About the authors

Vladimir N. Chernega

Lebedev Physical Institute, Russian Academy of Sciences

Email: omanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991

Olga V. Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Bauman Moscow State Technical University

Author for correspondence.
Email: omanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; The 2nd Baumanskaya Street 5, Moscow, 105005

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