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• W2113125937 startingPage "1576" @default.
• W2113125937 abstract "We develop a perturbation scheme to treat the dynamics of a quantum Brownian particle (coordinate $x$) coupled nonlinearly to a bath of oscillators (coordinates ${q}_{n}$) with an interaction action in the form $ensuremath{lambda}f(x){q}_{n}^{k}$. We derive the influence functionals for the $k=2, 3, 4$ cases to order ${ensuremath{lambda}}^{2}$ and derive the master equations for the special cases of local dissipation and white noise, as well as the general cases of nonlocal dissipation and colored noise for $f(x)=x mathrm{and} {x}^{2}$. We show that a generalized fluctuation-dissipation relation exists between the $lmathrm{th}$-order noise kernels of the $kmathrm{th}$-order coupling and their corresponding dissipation kernels." @default.
• W2113125937 created "2016-06-24" @default.
• W2113125937 creator A5018384914 @default.
• W2113125937 creator A5056163037 @default.
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• W2113125937 date "1993-02-15" @default.
• W2113125937 modified "2023-09-27" @default.
• W2113125937 title "Quantum Brownian motion in a general environment. II. Nonlinear coupling and perturbative approach" @default.
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• W2113125937 doi "https://doi.org/10.1103/physrevd.47.1576" @default.
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