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Scientia Insularum Revista de Ciencias Naturales en islas

Quantum Langevin Equations: energy transport properties in harmonic systems

Tanausú Hernández Yanes

Published Jan 1, 2019• 0 citations
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The system of nonlinear Langevin equations was obtained by using Hamiltonian's operator of two coupling quantum oscillators which are interacting with heat bath. By using the analytical solution of these equations, the analytical expressions for transport coefficients was found. Generalized Langevin equations and fluctuation-dissipation relations are derived for the case of a nonlinear non-Markovian noise. The explicit expressions for the time-dependent friction and diffusion coefficients are presented for the case of linear couplings in the coordinate between the collective two coupled harmonic oscillators and heat bath.