Journal Article

PUBDB-2024-07674

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The deformed Inozemtsev spin chain

Klabbers, R. (Corresponding author) ; Lamers, J.DESY*

2024
SciPost Foundation Amsterdam

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Please use a persistent id in citations: doi:10.21468/SciPostPhys.17.6.155  doi:10.3204/PUBDB-2024-07674

Report No.: DESY-24-168; HU-EP-23/20; HU-Mathematik-2023-1; arXiv:2306.13066

Abstract: The Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane-Shastry (HS) chains. In order to unlock its potential to study spin interactions with tunable interaction range using the powerful tools of integrability, the model's mathematical properties require better understanding. As a major step in this direction, we present a new generalisation of the Inozemtsev chain with spin symmetry reduced to U(1), interpolating between a Heisenberg xxz chain and the xxz-type HS chain, and integrable throughout. Underlying it is a new quantum many-body system that extends the elliptic Ruijsenaars system by including spins, contains the trigonometric spin-Ruijsenaars-Macdonald system as a special case, and yields our spin chain by 'freezing'. Our models have potential applications from condensed-matter to high-energy theory, and provide a crucial step towards a general theory for long-range integrability.

Note: SciPost Phys. 17, 155 (2024). v1: 8 pages, 1 figure; v2-3: minor changes; v4: 6+7 pages, substantial changes, introduction and supplemental material expanded; v5: 25 pages, 2 figures, restructured, minor changes

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. BrokenSymmetries - Exact Results from Broken Symmetries (101044226) (101044226)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Klabbers, R. ; Lamers, J. (Corresponding author)DESY*
The deformed Inozemtsev spin chain
[10.3204/PUBDB-2024-06033]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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