30 citations · 112 across the 6 of their papers we have counts for
6 papers
Inozemtsev's hyperbolic spin model and its related spin chain
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic interactions and the associated spin chain of Haldane-Shastry type introduced by Frahm and Inozemtsev.…
noise and integrable systems
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
An innovative test for detecting quantum chaos based on the analysis of the spectral fluctuations regarded as a time series has been recently proposed. According to this test, the…
An exactly solvable supersymmetric spin chain of BC_N type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Fr…
The Berry-Tabor conjecture for spin chains of Haldane-Shastry type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
According to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic'' integrable model should follow Poisson's law…
On the solutions of multicomponent generalizations of the Lam{é} equation
J. C. Barba, V. I. Inozemtsev
We describe a class of the singular solutions to the multicomponent analogs of the Lam{é} equation, arising as equations of motion of the elliptic Calogero--Moser systems of partic…
The Polychronakos-Frahm spin chain of BC_N type and Berry-Tabor's conjecture
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
We compute the partition function of the su(m) Polychronakos-Frahm spin chain of BC_N type by means of the freezing trick. We use this partition function to study several statistic…