Variational properties of a pumped dynamical system
2010 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 81, no 2, 022111- p.Article in journal (Refereed) Published
We earlier constructed a generalized entropy concept to show the direction of time in an evolution following from a Markov generator. In such a dynamical system the entity found changes in a monotonic way starting from any initial state of the system. In this article, we generalize the treatment to the case when population is pumped into the system from levels not explicitly considered. These populations then pass through the coupled levels and exit by decay to levels outside the system. We derive the form of the equation of motion and relate it to our earlier treatments. It turns out that the formalism can be generalized to the new situation. Its physically relevant features are demonstrated and the behavior obtained is illustrated by a numerical treatment of the standard two-level system with pumping and relaxation included.
Place, publisher, year, edition, pages
2010. Vol. 81, no 2, 022111- p.
Direction of time, Equation of motion, Generalized entropies, Initial state, Numerical treatments, Two-level system, Dynamical systems
IdentifiersURN: urn:nbn:se:kth:diva-28688DOI: 10.1103/PhysRevA.81.022111ISI: 000275072500035ScopusID: 2-s2.0-76749160339OAI: oai:DiVA.org:kth-28688DiVA: diva2:390443
QC 201101212011-01-212011-01-192011-01-21Bibliographically approved