Dynamics of a harmonic oscillator coupled with a Glauber amplifier

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.

14 pages and 7 figures

References in corpus (4)

• Analytically solvable driven time-dependent two-level quantum systems
• An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations
• Landau-Majorana-Stuckelberg-Zener dynamics driven by coupling for two interacting qutrit systems
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Cited by in corpus (3)

• Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions
• Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States
• Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi /2$-pulse