Finite temperature single-particle Green's function in the Lieb-Liniger model

Fuente: arXiv
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Main Authors: Senese, Riccardo, Essler, Fabian H. L.
Format: Preprint
Published: 2025
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author Senese, Riccardo
Essler, Fabian H. L.
author_facet Senese, Riccardo
Essler, Fabian H. L.
contents We develop a Monte Carlo sampling algorithm to numerically evaluate the Lehmann representation for the finite temperature single-particle Green's function in the repulsive Lieb-Liniger model. This allows us to determine the spectral function in the full range of temperatures and interactions, as well as in generalized Gibbs ensembles. We test our results against known results for dynamics at infinite interaction strength and static correlators, and find excellent agreement.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17908
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finite temperature single-particle Green's function in the Lieb-Liniger model
Senese, Riccardo
Essler, Fabian H. L.
Statistical Mechanics
Quantum Gases
Quantum Physics
We develop a Monte Carlo sampling algorithm to numerically evaluate the Lehmann representation for the finite temperature single-particle Green's function in the repulsive Lieb-Liniger model. This allows us to determine the spectral function in the full range of temperatures and interactions, as well as in generalized Gibbs ensembles. We test our results against known results for dynamics at infinite interaction strength and static correlators, and find excellent agreement.
title Finite temperature single-particle Green's function in the Lieb-Liniger model
topic Statistical Mechanics
Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2508.17908