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\chapter{Comparison with an Analytical Solution}
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\chapter{An Analytical Solution for Quantum Brownian Motion Models}
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\label{chap:analytsol}
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\section{One Oscillator, One Bath}
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\label{sec:oneosc}
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\label{sec:model}
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The model is given by the quadratic hamiltonian
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\begin{equation}
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\label{eq:hamiltonian}
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\label{eq:one_ho_hamiltonian}
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H = \frac{Ω}{4}\qty(p^2+q^2) + \frac{1}{2} q
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\sum_λ\qty(g_λ^\ast b_λ + g_λ
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b^†_λ)+\sum_λ\omega_λ b^†_λ b_λ,
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