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This is a fuzzy answer to a fuzzy question. First, express the interaction between your system and the bath in terms of standard photon quantum operators $a^\dagger_k, a_k$. Use substitutions $a_k^\dagger+a_k\rightarrow q$ and $i(a^\dagger_k-a_k)\rightarrow p$ to shoehorn it in the form of the Hamiltonian that you want to see. (I'm omitting all the ...



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