Dynamics of a harmonic oscillator coupled with a Glauber amplifier

被引：15
作者：
Grimaudo, R. [1 ,2 ]
Man'ko, V., I [3 ,4 ,5 ]
Man'ko, M. A. [3 ,4 ]
Messina, A. [2 ,6 ]
机构：
[1] Univ Palermo, Dipartimento Fis & Chim, Via Archirafi 36, I-90123 Palermo, Italy
[2] Ist Nazl Fis Nucl, Sez Catania, I-95123 Catania, Italy
[3] Russian Acad Sci, PN Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia
[4] Moscow Inst Phys & Technol, Inst Skii 9, Dolgoprudnyi 141700, Moscow Region, Russia
[5] Tomsk State Univ, Dept Phys, Lenin Ave 36, Tomsk 634050, Russia
[6] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
来源：
PHYSICA SCRIPTA | 2020年 / 95卷 / 02期
关键词：
Glauber amplifier; inverted quantum harmonic oscillator; interacting quantum harmonic oscillators; time-dependent Hamiltonians; exactly solvable SU(2) dynamical problems; QUANTUM; EVOLUTION;
D O I：
10.1088/1402-4896/ab4305
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：8
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