English

Non-adiabatic elimination of auxiliary modes in continuous quantum measurements

Quantum Physics 2015-05-30 v3

Abstract

When measuring a complex quantum system, we are often interested in only a few degrees of freedom-the plant, while the rest of them are collected as auxiliary modes-the bath. The bath can have finite memory (non-Markovian), and simply ignoring its dynamics, i.e., adiabatically eliminating it, will prevent us from predicting the true quantum behavior of the plant. We generalize the technique introduced by Strunz et. al. [Phys. Rev. Lett 82, 1801 (1999)], and develop a formalism that allows us to eliminate the bath non-adiabatically in continuous quantum measurements, and obtain a non-Markovian stochastic master equation for the plant which we focus on. We apply this formalism to three interesting examples relevant to current experiments.

Keywords

Cite

@article{arxiv.1108.0963,
  title  = {Non-adiabatic elimination of auxiliary modes in continuous quantum measurements},
  author = {Huan Yang and Haixing Miao and Yanbei Chen},
  journal= {arXiv preprint arXiv:1108.0963},
  year   = {2015}
}

Comments

a revised version