English

Action principle and weak invariants

Quantum Physics 2019-07-08 v2 Statistical Mechanics

Abstract

A weak invariant associated with a master equation is characterized in such a way that its spectrum is not constant in time but its expectation value is conserved under time evolution generated by the master equation. Here, an intriguing relationship between the concept of weak invariants and the action principle for master equations based on the auxiliary operator formalism is revealed. It is shown that the auxiliary operator can be thought of as a weak invariant.

Keywords

Cite

@article{arxiv.1903.02302,
  title  = {Action principle and weak invariants},
  author = {Sumiyoshi Abe and Congjie Ou},
  journal= {arXiv preprint arXiv:1903.02302},
  year   = {2019}
}

Comments

7 pages, no figures. Published version

R2 v1 2026-06-23T07:59:41.871Z