English

Effective Hamiltonian Approach to the Master Equation

Quantum Physics 2009-11-06 v1

Abstract

A method of exactly solving the master equation is presented in this letter. The explicit form of the solution is determined by the time evolution of a composite system including an auxiliary system and the open system in question. The effective Hamiltonian governing the time evolution of the composed system are derived from the master equation. Two examples, the dissipative two-level system and the damped harmonic oscillator, are presented to illustrate the solving procedure. PACS number(s): 05.30.-d, 05.40.+j, 42.50.Ct

Keywords

Cite

@article{arxiv.quant-ph/0008090,
  title  = {Effective Hamiltonian Approach to the Master Equation},
  author = {X. X. Yi and S. X. Yu},
  journal= {arXiv preprint arXiv:quant-ph/0008090},
  year   = {2009}
}

Comments

4 pages, no figures

R2 v1 2026-07-22T19:28:39.657Z