The relevant excitations for the one-body function in the Lieb-Liniger model
Quantum Gases
2021-08-11 v2 Statistical Mechanics
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We study the ground state one-body correlation function in the Lieb-Liniger model. In the spectral representation, correlations are built from contributions stemming from different excited states of the model. We aim to understand which excited states carry significant contributions, specifically focusing on the small energy-momentum part of the dynamic one-body function. We conjecture that relevant excitations take form similar to two-spinon states known from XXZ spin chain. We validate this hypothesis by numerical evaluation of the correlator with ABACUS algorithm and by analytical computations in the strongly interacting regime.
Keywords
Cite
@article{arxiv.2104.10491,
title = {The relevant excitations for the one-body function in the Lieb-Liniger model},
author = {Miłosz Panfil and Felipe Taha Sant'Ana},
journal= {arXiv preprint arXiv:2104.10491},
year = {2021}
}