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Algebraic solutions for SU(2) ® SU(2) Hamiltonian eigensystems: Generic statistical ensembles and a mesoscopic system application

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Author(s):
Bernardini, Alex E. ; da Rocha, R.
Total Authors: 2
Document type: Journal article
Source: ANNALS OF PHYSICS; v. 474, p. 15-pg., 2025-01-25.
Abstract

Solutions of generic SU(2) (R) SU(2) Hamiltonian eigensystems are obtained through systematic manipulations of quartic polynomial equations. An ansatz for constructing separable entangled eigenstate basis, depending on the quartic equation coefficients, is proposed. Besides the quantum concurrence for pure entangled states, the associated thermodynamic statistical ensembles, their partition function, quantum purity and quantum concurrence are shown be straightforwardly obtained. Results are specialized to a SU(2) (R) SU(2) structure emulated by lattice-layer degrees of freedom of the Bernal stacked graphene, in a context that be extended to several mesoscopic scale systems for which the onset from SU(2) (R) SU Hamiltonians has been assumed. (AU)

FAPESP's process: 22/01734-7 - Gauge/gravity dualities, Navier-Stokes equations with soft-hair, and Dirac fluids
Grantee:Roldão da Rocha
Support Opportunities: Regular Research Grants
FAPESP's process: 21/01089-1 - Cherenkov Telescope Array: construction and first discoveries
Grantee:Luiz Vitor de Souza Filho
Support Opportunities: Special Projects
FAPESP's process: 23/00392-8 - Quantum correlations for localized Dirac-like systems and Weyl-Wigner quantum mechanics extensions to non-linear systems
Grantee:Alex Eduardo de Bernardini
Support Opportunities: Regular Research Grants