Time-evolution of quantum systems via a complex nonlinear Riccati equation II. Dissipative systems
Quantum Physics
2016-08-18 v1
Abstract
In our former contribution [Ann. Phys. 360 (2015) 44], we have shown the sensitivity to the choice of initial conditions in the evolution of Gaussian wave packets via the nonlinear Riccati equation. The formalism developed in the previous work is extended to effective approaches for the description of dissipative quantum systems. By means of simple examples we show the effects of the environment on the quantum uncertainties, correlation function, quantum energy contribution and tunneling currents. We prove that the environmental parameter is strongly related with the sensitivity to the choice of initial conditions.
Cite
@article{arxiv.1602.02314,
title = {Time-evolution of quantum systems via a complex nonlinear Riccati equation II. Dissipative systems},
author = {Hans Cruz and Dieter Schuch and Octavio Castanos and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:1602.02314},
year = {2016}
}
Comments
30 pages, 5 figures, 1 table