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The usual RWA can also be described using the same reasoning used here. Starting from the initial Hamiltonian and after some algebra, one obtains an equation of motion with terms that oscillate with frequencies ω± 02 + Δ2. The terms that oscillate with frequency ω+ 02 + Δ2 are then neglected on the basis of their fast oscillations. See, e.g., Springer, Heidelberg
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The usual RWA can also be described using the same reasoning used here. Starting from the initial Hamiltonian and after some algebra, one obtains an equation of motion with terms that oscillate with frequencies ω± 02 + Δ2. The terms that oscillate with frequency ω+ 02 + Δ2 are then neglected on the basis of their fast oscillations. See, e.g., C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Heidelberg, 2004).
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