Sine-Gordon model at finite temperature: The method of random surfaces

The authors study here the sine-Gordon quantum field theory, relevant for many 1D gapped systems and experimental settings. Despite its integrability, computing correlation functions, especially at finite temperatures, remains challenging. Existing methods like perturbative expansions, Monte Carlo simulations, and Hamiltonian truncation have limitations. The authors develop here a numerical approach using the method of random surfaces, which is efficient, scalable, and free from the sign problem. They validate their results against established techniques and propose future applications for multipoint functions and quench dynamics.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-04-07
DOI
https://doi.org/10.1103/physrevb.111.155112
Citations
1
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
1.25

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article

Sine-Gordon model at finite temperature: The method of random surfaces

J. H. Pixley, G. Takács, D. Szász-Schagrin, Márton Kormos et al.
1 citations
Physical review. B./Physical review. B
Quantum many-body systems
1.25
article

Sine-Gordon model at finite temperature: The method of random surfaces

J. H. Pixley, G. Takács, D. Szász-Schagrin, Márton Kormos, Mónika Tóth
article en
1 citations

Abstract

The authors study here the sine-Gordon quantum field theory, relevant for many 1D gapped systems and experimental settings. Despite its integrability, computing correlation functions, especially at finite temperatures, remains challenging. Existing methods like perturbative expansions, Monte Carlo simulations, and Hamiltonian truncation have limitations. The authors develop here a numerical approach using the method of random surfaces, which is efficient, scalable, and free from the sign problem. They validate their results against established techniques and propose future applications for multipoint functions and quench dynamics.

Physical review. B./Physical review. BVol. 111(15)
Budapest University of Technology and Economics (HU), Rutgers Sexual and Reproductive Health and Rights (NL), Flatiron Health (United States) (US), Flatiron Institute (US)
National Science Foundation, Hungarian Scientific Research Fund, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap
Openalex Percentile: Top 22%
Quantum many-body systems
1.25
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Sine-Gordon model at finite temperature: The method of random surfaces — J. H. Pixley, G. Takács, et al. · Physical review. B./Physical review. B (2025) | TGRS Research Map | TGRS