Dynamics of a harmonic oscillator coupled with a Glauber amplifier R. Grimaudo, V. I. Man'ko, M. A. Man'ko, A. Messina
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ArticleContent type: Текст Media type: электронный Subject(s): квантовые гармонические осцилляторы | гармонические осцилляторы | нестационарные гамильтонианы | точно решаемые динамические задачиGenre/Form: статьи в журналах Online resources: Click here to access online
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Physica scripta Vol. 95, № 2. P. 024004 (1-8)Abstract: A system of a quantum harmonic oscillator bi-linearly coupled with a Glauber amplifier is
analysed considering a time-dependent Hamiltonian model. The Hilbert space of this system
may be exactly subdivided into invariant finite dimensional subspaces. Resorting to the Jordan–
Schwinger map, the dynamical problem within each invariant subspace may be traced back to an
effective SU(2) Hamiltonian model expressed in terms of spin variables only. This circumstance
allows to analytically solve the dynamical problem and thus to study the exact dynamics of the
oscillator-amplifier system under specific time-dependent scenarios. Peculiar physical effects are
brought to light by comparing the dynamics of such a system with that of two interacting
standard oscillators.
Библиогр.: 41 назв.
A system of a quantum harmonic oscillator bi-linearly coupled with a Glauber amplifier is
analysed considering a time-dependent Hamiltonian model. The Hilbert space of this system
may be exactly subdivided into invariant finite dimensional subspaces. Resorting to the Jordan–
Schwinger map, the dynamical problem within each invariant subspace may be traced back to an
effective SU(2) Hamiltonian model expressed in terms of spin variables only. This circumstance
allows to analytically solve the dynamical problem and thus to study the exact dynamics of the
oscillator-amplifier system under specific time-dependent scenarios. Peculiar physical effects are
brought to light by comparing the dynamics of such a system with that of two interacting
standard oscillators.
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