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Quantum Monte Carlo for gauge fields and matter without the fermion determinant

Quantum Monte Carlo for gauge fields and matter without the fermion determinant
Quantum Monte Carlo for gauge fields and matter without the fermion determinant
Ab initio Monte Carlo simulations of strongly interacting fermionic systems are plagued by the fermion sign problem, making the nonperturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of fermion flavors, challenging. Moreover, typical fermion algorithms require the computation (or sampling) of the fermion determinant. We focus instead on the meron cluster algorithm, which can solve the fermion sign problem in a class of models without involving the determinant. We develop and benchmark new meron algorithms to simulate fermions coupled to ℤ2 and
2470-0037
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Huffman, Emilie
651edff6-13d7-4205-90f6-40342ccdaf6a
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Huffman, Emilie
651edff6-13d7-4205-90f6-40342ccdaf6a

Banerjee, Debasish and Huffman, Emilie (2024) Quantum Monte Carlo for gauge fields and matter without the fermion determinant. Physical Review D, 109, [L031506]. (doi:10.1103/PhysRevD.109.L031506).

Record type: Article

Abstract

Ab initio Monte Carlo simulations of strongly interacting fermionic systems are plagued by the fermion sign problem, making the nonperturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of fermion flavors, challenging. Moreover, typical fermion algorithms require the computation (or sampling) of the fermion determinant. We focus instead on the meron cluster algorithm, which can solve the fermion sign problem in a class of models without involving the determinant. We develop and benchmark new meron algorithms to simulate fermions coupled to ℤ2 and

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Accepted/In Press date: 26 January 2024
Published date: 27 February 2024

Identifiers

Local EPrints ID: 501408
URI: http://eprints.soton.ac.uk/id/eprint/501408
ISSN: 2470-0037
PURE UUID: 774a619a-d2c6-420b-9e19-6c7c151eb4cf
ORCID for Debasish Banerjee: ORCID iD orcid.org/0000-0003-0244-4337

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Date deposited: 30 May 2025 16:49
Last modified: 22 Aug 2025 02:47

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Contributors

Author: Debasish Banerjee ORCID iD
Author: Emilie Huffman

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