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Solution to the sign problem in a frustrated quantum impurity model

Publication ,  Journal Article
Hann, CT; Huffman, E; Chandrasekharan, S
Published in: Annals of Physics
January 1, 2017

In this work we solve the sign problem of a frustrated quantum impurity model consisting of three quantum spin-half chains interacting through an anti-ferromagnetic Heisenberg interaction at one end. We first map the model into a repulsive Hubbard model of spin-half fermions hopping on three independent one dimensional chains that interact through a triangular hopping at one end. We then convert the fermion model into an inhomogeneous one dimensional model and express the partition function as a weighted sum over fermion worldline configurations. By imposing a pairing of fermion worldlines in half the space we show that all negative weight configurations can be eliminated. This pairing naturally leads to the original frustrated quantum spin model at half filling and thus solves its sign problem.

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Published In

Annals of Physics

DOI

EISSN

1096-035X

ISSN

0003-4916

Publication Date

January 1, 2017

Volume

376

Start / End Page

63 / 75

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Hann, C. T., Huffman, E., & Chandrasekharan, S. (2017). Solution to the sign problem in a frustrated quantum impurity model. Annals of Physics, 376, 63–75. https://doi.org/10.1016/j.aop.2016.11.006
Hann, C. T., E. Huffman, and S. Chandrasekharan. “Solution to the sign problem in a frustrated quantum impurity model.” Annals of Physics 376 (January 1, 2017): 63–75. https://doi.org/10.1016/j.aop.2016.11.006.
Hann CT, Huffman E, Chandrasekharan S. Solution to the sign problem in a frustrated quantum impurity model. Annals of Physics. 2017 Jan 1;376:63–75.
Hann, C. T., et al. “Solution to the sign problem in a frustrated quantum impurity model.” Annals of Physics, vol. 376, Jan. 2017, pp. 63–75. Scopus, doi:10.1016/j.aop.2016.11.006.
Hann CT, Huffman E, Chandrasekharan S. Solution to the sign problem in a frustrated quantum impurity model. Annals of Physics. 2017 Jan 1;376:63–75.
Journal cover image

Published In

Annals of Physics

DOI

EISSN

1096-035X

ISSN

0003-4916

Publication Date

January 1, 2017

Volume

376

Start / End Page

63 / 75

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences