Non- Markovian Quantum Stochastic Equation For Two Coupled Oscillators
Statistical Mechanics
2016-05-31 v1 Nuclear Theory
Abstract
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.
Cite
@article{arxiv.1605.09327,
title = {Non- Markovian Quantum Stochastic Equation For Two Coupled Oscillators},
author = {E. X. Alpomishev and Z. Kanokov},
journal= {arXiv preprint arXiv:1605.09327},
year = {2016}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:gr-qc/9403054 by other authors