Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain

Abstract Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually given by inhomogeneous T − Q relations and the Bethe root patterns are still uncl...

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Autores principales:	Xiong Le, Yi Qiao, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Bethe Ansatz Lattice Integrable Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/ecb2a99c955e43b0bc0f6233c42202af
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spelling	oai:doaj.org-article:ecb2a99c955e43b0bc0f6233c42202af2021-11-14T12:42:01ZRoot patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain10.1007/JHEP11(2021)0441029-8479https://doaj.org/article/ecb2a99c955e43b0bc0f6233c42202af2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)044https://doaj.org/toc/1029-8479Abstract Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually given by inhomogeneous T − Q relations and the Bethe root patterns are still unclear. In this paper with the antiperiodic XXZ spin chain as an example, an analytic method to derive both the Bethe root patterns and the transfer-matrix root patterns in the thermodynamic limit is proposed. Based on them the ground state energy and elementary excitations in the gapped regime are derived. The present method provides an universal procedure to compute physical properties of quantum integrable models in the thermodynamic limit.Xiong LeYi QiaoJunpeng CaoWen-Li YangKangjie ShiYupeng WangSpringerOpenarticleBethe AnsatzLattice Integrable ModelsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Bethe Ansatz Lattice Integrable Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Bethe Ansatz Lattice Integrable Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Xiong Le Yi Qiao Junpeng Cao Wen-Li Yang Kangjie Shi Yupeng Wang Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
description	Abstract Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually given by inhomogeneous T − Q relations and the Bethe root patterns are still unclear. In this paper with the antiperiodic XXZ spin chain as an example, an analytic method to derive both the Bethe root patterns and the transfer-matrix root patterns in the thermodynamic limit is proposed. Based on them the ground state energy and elementary excitations in the gapped regime are derived. The present method provides an universal procedure to compute physical properties of quantum integrable models in the thermodynamic limit.
format	article
author	Xiong Le Yi Qiao Junpeng Cao Wen-Li Yang Kangjie Shi Yupeng Wang
author_facet	Xiong Le Yi Qiao Junpeng Cao Wen-Li Yang Kangjie Shi Yupeng Wang
author_sort	Xiong Le
title	Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
title_short	Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
title_full	Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
title_fullStr	Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
title_full_unstemmed	Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
title_sort	root patterns and energy spectra of quantum integrable systems without u(1) symmetry: the antiperiodic xxz spin chain
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/ecb2a99c955e43b0bc0f6233c42202af
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_version_	1718429081260785664

Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain

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