English

Matrix Product Density Operators: Simulation of finite-T and dissipative systems

Other Condensed Matter 2007-05-23 v2 Strongly Correlated Electrons Quantum Physics

Abstract

We show how to simulate numerically both the evolution of 1D quantum systems under dissipation as well as in thermal equilibrium. The method applies to both finite and inhomogeneous systems and it is based on two ideas: (a) a representation for density operators which extends that of matrix product states to mixed states; (b) an algorithm to approximate the evolution (in real or imaginary time) of such states which is variational (and thus optimal) in nature.

Keywords

Cite

@article{arxiv.cond-mat/0406426,
  title  = {Matrix Product Density Operators: Simulation of finite-T and dissipative systems},
  author = {F. Verstraete and J. J. Garcia-Ripoll and J. I. Cirac},
  journal= {arXiv preprint arXiv:cond-mat/0406426},
  year   = {2007}
}

Comments

See also M. Zwolak et al. cond-mat/0406440