Year: 2012
Type: article
Abstract: For a dynamical map $\ensuremath{\Lambda}(t,0)$, which sends a state $\ensuremath{\rho}(0)$ of a quantum open system to a state $\ensuremath{\rho}(t)=\ensuremath{\Lambda}(t,0)\ensuremath{\rho}(0)$, the decomposition law $\ensuremath{\Lambda}(t,0)=\ensuremath{\Lambda}(t,{t}_{c})\ensuremath{\Lambda}({t}_{c},0)$ may break down at a specific time ${t}_{c}$. In this paper, we present a method to find the singular points ${t}_{c}$ and propose a measure for the singularity of the dynamical map. Two examples are portrayed to illustrate the method, and the measure of singularity for these singular points is calculated and discussed. An extension to a high-dimensional system is presented.
Source: Physical Review A
Authors: S. C. Hou, X. X. Yi, S. X. Yu, C. H. Oh
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W1963838895