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

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-01-23 DOI:10.1016/j.aop.2025.169932

Alex E. Bernardini , R. da Rocha

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引用次数: 0

Abstract

Solutions of generic

S U (2) \otimes S U (2)

Hamiltonian eigensystems are obtained through systematic manipulations of quartic polynomial equations. An ansatz for constructing separable and 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 to be straightforwardly obtained. Results are specialized to a

S U (2) \otimes S U (2)

structure emulated by lattice-layer degrees of freedom of the Bernal stacked graphene, in a context that can be extended to several mesoscopic scale systems for which the onset from

S U (2) \otimes S U (2)

Hamiltonians has been assumed.

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.