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


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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.

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Vladimir Chernega

Lebedev Physical Institute, Russian Academy of Sciences

Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991

Olga Man’ko

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

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Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991; The 2nd Baumanskaya Street 5, Moscow, 105005

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