English

Simulating local measurements on a quantum many body system with stochastic matrix product states

Quantum Physics 2010-02-01 v1

Abstract

We demonstrate how to simulate both discrete and continuous stochastic evolution of a quantum many body system subject to measurements using matrix product states. A particular, but generally applicable, measurement model is analyzed and a simple representation in terms of matrix product operators is found. The technique is exemplified by numerical simulations of the anti-ferromagnetic Heisenberg spin-chain model subject to various instances of the measurement model. In particular we focus on local measurements with small support and non-local measurements which induces long range correlations.

Keywords

Cite

@article{arxiv.0911.4795,
  title  = {Simulating local measurements on a quantum many body system with stochastic matrix product states},
  author = {Søren Gammelmark and Klaus Mølmer},
  journal= {arXiv preprint arXiv:0911.4795},
  year   = {2010}
}

Comments

7 pages, 7 figures