6533b855fe1ef96bd12aff0d
RESEARCH PRODUCT
Dynamics of a harmonic oscillator coupled with a Glauber amplifier
Margarita A. Man’koAntonino MessinaRoberto GrimaudoVladimir I. Man’koVladimir I. Man’kosubject
гармонические осцилляторынестационарные гамильтонианыinverted quantum harmonic oscillatorNuclear TheoryFOS: Physical sciences01 natural sciencestime-dependent Hamiltonian010305 fluids & plasmasinteracting quantum harmonic oscillatorsymbols.namesakeexactly solvable SU(2) dynamical problem0103 physical sciencesInvariant (mathematics)Nuclear Experiment010306 general physicsMathematical PhysicsHarmonic oscillatorSpin-½PhysicsQuantum PhysicsInvariant subspaceHilbert spaceCondensed Matter PhysicsLinear subspaceAtomic and Molecular Physics and Opticsквантовые гармонические осцилляторыClassical mechanicsQuantum harmonic oscillatorточно решаемые динамические задачиCondensed Matter::Statistical MechanicssymbolsGlauber amplifierQuantum Physics (quant-ph)Glauberdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 | Physica Scripta |