Weak invariants of time-dependent quantum dissipative systems
Quantum Physics
2016-09-21 v4 Statistical Mechanics
Abstract
The concept of weak invariant is introduced. Then, the weak invariants associated with time-dependent quantum dissipative systems are discussed in the context of master equations of the Lindblad type. In particular, with the help of the su(1,1) Lie-algebraic structure, the weak invariant is explicitly constructed for the quantum damped harmonic oscillator with the time-dependent frequency and friction coefficient. This generalizes the Lewis-Riesenfeld invariant to the case of nonunitary dynamics in the Markovian approximation.
Cite
@article{arxiv.1606.01767,
title = {Weak invariants of time-dependent quantum dissipative systems},
author = {Sumiyoshi Abe},
journal= {arXiv preprint arXiv:1606.01767},
year = {2016}
}
Comments
15 pages, no figures. Published version