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Efficient mapping for Anderson impurity problems with matrix product states

Strongly Correlated Electrons 2021-07-14 v1 Quantum Physics

Abstract

We propose an efficient algorithm to numerically solve Anderson impurity problems using matrix product states. By introducing a modified chain mapping we obtain significantly lower entanglement, as compared to all previous attempts, while keeping the short-range nature of the couplings. Our approach naturally extends to finite temperatures, with applications to dynamical mean field theory, non-equilibrium dynamics and quantum transport.

Keywords

Cite

@article{arxiv.2012.01424,
  title  = {Efficient mapping for Anderson impurity problems with matrix product states},
  author = {Lucas Kohn and Giuseppe E. Santoro},
  journal= {arXiv preprint arXiv:2012.01424},
  year   = {2021}
}

Comments

(6+8) pages, (4+9) figures

R2 v1 2026-06-23T20:40:55.830Z