ABSTRACT

Consider a two-level atom represented by the spin operators σ ^ ± , σ ^ Z , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429092053/5e12ab0e-ba42-4caa-9bdf-6325e9117d3e/content/ineqn19_1.tif"/> interacting with a one-dimensional harmonic oscillator, represented by the creation and annihilation operators â and â. The Hamiltonian of the system is given by () H ^ = 1 2 ℏ ω 0 σ ^ Z + ℏ w 0 ( a ^ † a ^ + 1 2 )− 1 2 i ℏ g + ( σ ^ + a ^ − σ ^ − a ^ † ) . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429092053/5e12ab0e-ba42-4caa-9bdf-6325e9117d3e/content/eqn19_1.tif"/>