Foundations of Physics

, Volume 8, Issue 1–2, pp 45–58 | Cite as

Generalized two-level quantum dynamics. II. Non-Hamiltonian state evolution

  • William Band
  • James L. Park
Article

Abstract

A theorem is derived that enables a systematic enumeration of all the linear superoperators ℒ (associated with a two-level quantum system) that generate, via the law of motion ℒρ=\(\dot \rho\), mappings ρ(0) → ρ(t) restricted to the domain of statistical operators. Such dynamical evolutions include the usual Hamiltonian motion as a special case, but they also encompass more general motions, which are noncyclic and feature a destination state ρ(t → ∞) that is in some cases independent of ρ(0).

Keywords

Quantum System Dynamical Evolution Destination State State Evolution Systematic Enumeration 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. L. Park and W. Band,Found. Phys. 7, 813 (1977).Google Scholar
  2. 2.
    A. Kossakowski,Bull. Acad. Polon. Sci. Math. 21, 649 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • William Band
    • 1
  • James L. Park
    • 1
  1. 1.Department of PhysicsWashington State UniversityPullman

Personalised recommendations