title: Complex systems with half-integer spins: symplectic ensembles.
abstract: We study the statistical behavior of the Hermitian operators of complex systems with half-integer angular momentum and time-reversal symmetry. The complexity leads to randomization of the operators which can then be modeled, following maximum entropy hypothesis, by multiparametric Gaussian ensembles of real-quaternion matrices. The modeling shows that it is possible to classify the statistical behavior of spin-based complex systems into a continuum of universality classes characterized by a single parameter which is a function of all system parameters.
authors.affiliation: Department of Physics, Indian Institute of Technology, Kharagpur, India.
authors.forename: Rina
authors.initials: R
authors.lastname: Dutta
authors.forename: Pragya
authors.initials: P
authors.lastname: Shukla