Quantum dynamics with non-Markovian fluctuating parameters
| dc.creator | Goychuk, Igor | |
| dc.date | 2003-11-26 | |
| dc.date | 2004-05-17 | |
| dc.date.accessioned | 2026-07-07T06:24:38Z | |
| dc.date.available | 2026-07-07T06:24:38Z | |
| dc.description | A stochastic approach to the quantum dynamics randomly modulated in time by a discrete state non-Markovian noise, which possesses an arbitrary non-exponential distribution of the residence times, is developed. The formally exact expression for the Laplace-transformed quantum propagator averaged over the stationary realizations of such N-state non-Markovian noise is obtained. The theory possesses a wide range of applications. It includes some previous Markovian and non-Markovian theories as particular cases. In the context of stochastic theory of spectral line shape and relaxation, the developed approach presents a non-Markovian generalization of the Kubo-Anderson theory of sudden modulation. In particular, the exact analytical expression is derived for the spectral line shape of optical transitions described by a Kubo-oscillator with randomly modulated frequency which undergoes jump-like non-Markovian fluctuations in time. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0311596 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0311596 | |
| dc.identifier | Phys. Rev. E 70, 016109 (2004) | |
| dc.identifier | doi:10.1103/PhysRevE.70.016109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96609 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum dynamics with non-Markovian fluctuating parameters | |
| dc.type | text |