English

Secular master equation for adiabatically time dependent systems

Quantum Physics 2013-05-10 v3

Abstract

Relying only on first principles, we derive a master equation of Lindblad form generally applicable for adiabatically time dependent systems. Our analysis shows that the much debated secular approximation can be valid for slowly time dependent Hamiltonians when performed in an appropriate basis. We apply our approach to the well known Landau-Zener problem where we find that adiabaticity is improved by coupling to a low temperature environment.

Keywords

Cite

@article{arxiv.1208.0749,
  title  = {Secular master equation for adiabatically time dependent systems},
  author = {I. Kamleitner},
  journal= {arXiv preprint arXiv:1208.0749},
  year   = {2013}
}

Comments

5 pages

R2 v1 2026-06-21T21:45:52.361Z