Generalised Onsager Algebra in Quantum Lattice Models
نویسندگان
چکیده
The Onsager algebra is one of the cornerstones exactly solvable models in statistical mechanics. Starting from generalised Clifford algebra, we demonstrate its relations to graph Temperley--Lieb and a generalisation algebra. We present series quantum lattice as representations possessing structure special type [1]. integrability those presented, analogous free fermionic eight-vertex model. also mention further extensions physical properties related algebras, hinting at general framework that includes families algebras.
منابع مشابه
Algebra for generalised quantum observables
Generalised observables (POM observables) are necessary for representing all possible measurements on a quantum system. Useful algebraic operations such as addition and multiplication are defined for these observables, recovering many advantages of the more restrictive Hermitian operator formalism. Examples include new uncertainty relations and metrics, and optical phase applications.
متن کاملThe Q-onsager Algebra
where β = q+q and δ = −(q − q) 2 . (TD) can be regarded as a q-analogue of the DolanGrady relations and we call A the q-Onsager algebra. We classify the finite-dimensional irreducible representations of A. All such representations are explicitly constructed via embeddings of A into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs of qRacah type over C are classified in the case wh...
متن کاملLattice-Plasmon Quantum Features
in this work, some of the lattice plasmon quantum features are examined. Initially, the interaction of the far-field photonic mode and the nanoparticle plasmon mode is investigated. We probe the optical properties of the array plasmon that are dramatically affected by the array geometry. It is notable to mention that the original goal of this work is to examine the quantum feature of the array ...
متن کاملLattice of full soft Lie algebra
In this paper, we study the relation between the soft sets and soft Lie algebras with the lattice theory. We introduce the concepts of the lattice of soft sets, full soft sets and soft Lie algebras and next, we verify some properties of them. We prove that the lattice of the soft sets on a fixed parameter set is isomorphic to the power set of a ...
متن کاملInterfaces and droplets in quantum lattice models
This paper is a short review of recent results on interface states in the Falicov-Kimball model and the ferromagnetic XXZ Heisenberg model. More specifically, we discuss the following topics: 1) The existence of interfaces in quantum lattice models that can be considered as perturbations of classical models. 2) The rigidity of the 111 interface in the three-dimensional FalicovKimball model at s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SciPost physics
سال: 2022
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.13.3.070