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Overlaps of partial Néel states and Bethe states

2015/12/31 by Omar Foda, O. Foda, Konstantin Zarembo +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Boundary (topology) #Boundary value problem #Domain (mathematical analysis) #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Shell (structure) #State (computer science) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1742-5468/2016/02/023107

published as Journal of Statistical Mechanics, 1602 (2016) no.2, 023107 · 18 pages, 8 figures; v2: ref. added, minor misprints corrected; v3: arguments in sec. 4 improved

arxiv created 2016/02/02 · openalex publication_date 2016/02/25 · arxiv updated 2016/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Partial Néel states are generalizations of the ordinary Néel (classical anti-ferromagnet) state that can have arbitrary integer spin. We study overlaps of these states with Bethe states. We first identify this overlap with a partial version of reflecting-boundary domain-wall partition function, and then derive various determinant representations for off-shell and on-shell Bethe states.

Citations