Preprint

PUBDB-2024-06033

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

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

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-06033

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: 25 pages, 2 figures

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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:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Klabbers, R. (Corresponding author) ; Lamers, J.DESY*
The deformed Inozemtsev spin chain
SciPost physics 17(6), 155 (2024) [10.21468/SciPostPhys.17.6.155]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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