Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators

2014/02/18 by B. Basu-Mallick, Nilanjan Bondyopadhaya, Pratyay Banerjee · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.stat-mech #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1016/j.nuclphysb.2014.03.027

34 pages, 2 figures, minor typos corrected, 3 references added

arxiv created 2014/02/18 · arxiv updated 2015/06/18

Abstract

We construct polarized spin reversal operator (PSRO) which yields a class of representations for the BC_N type of Weyl algebra, and subsequently use this PSRO to find out novel exactly solvable variants of the BC_N type of spin Calogero model. The strong coupling limit of such spin Calogero models generates the BC_N type of Polychronakos spin chains with PSRO. We derive the exact spectra of the BC_N type of spin Calogero models with PSRO and compute the partition functions of the related spin chains by using the freezing trick. We also find out an interesting relation between the partition functions of the BC_N type and A_N-1 type of Polychronakos spin chains. Finally, we study spectral properties like level density and distribution of spacing between consecutive energy levels for BC_N type of Polychronakos spin chains with PSRO.

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• Supersymmetric analogue of BC_N type rational integrable models with polarized spin reversal operators