Journal article

Publication year: 2005

Journal: Physical Review E

Volume number: 71

Issue number: 1

ISSN: 1539-3755

eISSN: 1550-2376

DOI Link: https://doi.org/10.1103/PhysRevE.71.016121

Publisher: American Physical Society

Abstract: 
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 general and linear couplings in the coordinate and momentum between the collective harmonic oscillator and heat bath. The long-time tails of correlation functions are investigated in the low- and high-temperature regimes of dissipation for different couplings. The Onsager's regression hypothesis is discussed for the non-Markovian dynamics. The Lindblad theory is justified on the basis of the microscopical model.

Harvard Citation style: Kanokov, Z., Palchikov, Y., Adamian, G., Antonenko, N. and Scheid, W. (2005) Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients, PHYSICAL REVIEW E, 71(1), Article 016121. https://doi.org/10.1103/PhysRevE.71.016121

APA Citation style: Kanokov, Z., Palchikov, Y., Adamian, G., Antonenko, N., & Scheid, W. (2005). Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients. PHYSICAL REVIEW E. 71(1), Article 016121. https://doi.org/10.1103/PhysRevE.71.016121