Solution to the sign problem in a frustrated quantum impurity model

Hann, Connor T.; Huffman, Emilie; Chandrasekharan, Shailesh

doi:10.1016/j.aop.2016.11.006

Title: Solution to the sign problem in a frustrated quantum impurity model

Full Record
Other Related Research

Authors:: Hann, Connor T.; Huffman, Emilie; Chandrasekharan, Shailesh

Publication Date:: Sun Jan 01 00:00:00 EST 2017

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1413844

Grant/Contract Number:: FG02-05ER41368

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Annals of Physics

Additional Journal Information:: Journal Name: Annals of Physics Journal Volume: 376 Journal Issue: C; Journal ID: ISSN 0003-4916

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Hann, Connor T., Huffman, Emilie, and Chandrasekharan, Shailesh. Solution to the sign problem in a frustrated quantum impurity model.  United States: N. p., 2017. 
Web.  doi:10.1016/j.aop.2016.11.006.

Copy to clipboard


                    Hann, Connor T., Huffman, Emilie, & Chandrasekharan, Shailesh. Solution to the sign problem in a frustrated quantum impurity model.  United States.  https://doi.org/10.1016/j.aop.2016.11.006

Copy to clipboard


                    Hann, Connor T., Huffman, Emilie, and Chandrasekharan, Shailesh. Sun .  
"Solution to the sign problem in a frustrated quantum impurity model".  United States.  https://doi.org/10.1016/j.aop.2016.11.006.

Copy to clipboard


                    
@article{osti_1413844,

  title        = {Solution to the sign problem in a frustrated quantum impurity model},

  author       = {Hann, Connor T. and Huffman, Emilie and Chandrasekharan, Shailesh},

  abstractNote = {},

  doi          = {10.1016/j.aop.2016.11.006},

  journal      = {Annals of Physics},

  number       = C,

  volume       = 376,

  place        = {United States},

  year         = {Sun Jan 01 00:00:00 EST 2017},

  month        = {Sun Jan 01 00:00:00 EST 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1016/j.aop.2016.11.006

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Solution to the sign problem in a frustrated quantum impurity model

Journal Article Hann, Connor T. ; Huffman, Emilie ; Chandrasekharan, Shailesh - Annals of Physics

Not provided.
https://doi.org/10.1016/j.aop.2016.11.006
Solution to the sign problem in a frustrated quantum impurity model

Journal Article Hann, Connor T., E-mail: connor.hann@yale.edu ; Huffman, Emilie ; Chandrasekharan, Shailesh ; ... - Annals of Physics

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 weightmore »« less
https://doi.org/10.1016/J.AOP.2016.11.006
Solution to sign problems in models of interacting fermions and quantum spins

Journal Article Huffman, Emilie ; Chandrasekharan, Shailesh - Physical Review E

We show that solutions to fermion sign problems that are found in the formulation where the path integral is expanded in powers of the interaction in continuous time can be extended to systems involving fermions interacting with dynamical quantum spins. While these sign problems seem unsolvable in the auxiliary field approach, solutions emerge in the world-line representation of quantum spins. Combining this idea with meron-cluster methods, we are able to further extend the class of models that are solvable. We demonstrate these solutions to sign problems by considering several examples of strongly correlated systems that contain the physics of semimetals,more »« less
Cited by 8
https://doi.org/10.1103/physreve.94.043311

Full Text Available
Solution of the sign problem in the Potts model at fixed fermion number

Journal Article Alexandru, Andrei ; Bergner, Georg ; Schaich, David ; ... - Physical Review. D.

We consider the heavy-dense limit of QCD at finite fermion density in the canonical formulation and approximate it by a three-state Potts model. In the strong-coupling limit, the model is free of the sign problem. Away from the strong coupling, the sign problem is solved by employing a cluster algorithm which allows to average each cluster over themore »« less
Cited by 3
https://doi.org/10.1103/PhysRevD.97.114503
Going with the flow: a new solution to the sign problem

Journal Article Başar, Gökçe - Nuclear Physics. A

Here, we discuss a novel solution for the sign problem which prevents first principle Monte-Carlo computations of QCD at finite chemical potential (especially important for both the search for the critical point and neutron star physics) as well as real time quantities such as transport coefficients. The solution is based on deforming the region of integration in the path integral into a complex manifold where the sign problem can be mitigated substantially. We explain the new Monte-Carlo algorithm based on this idea and give examples of interacting quantum field theories (bosonic and fermionic) with nonzero chemical potential as well asmore »« less
https://doi.org/10.1016/j.nuclphysa.2017.05.004

Full Text Available

Similar Records