Current mean values in the XYZ model
نویسندگان
چکیده
The XYZ model is an integrable spin chain which has infinite set of conserved charges, but it lacks a global U(1) U(1) -symmetry. We consider the current operators, describe flow quantities in this model. derive exact result for mean values, valid any eigenstate finite volume with periodic boundary conditions. This can serve as basis studying transport properties within Generalized Hydrodynamics.
منابع مشابه
Thermal Entanglement in the Two-qubit Heisenberg Xyz Model
We study the entanglement of a two-qubit one dimensional XYZ Heisenberg chain in thermal equilibrium at temperature T. We obtain an analytical expression for the concurrence of this system in terms of the parameters of the Hamiltonian and T. We show that depending on the relation among the coupling constants it is possible to increase the amount of entanglement of the system increasing its anis...
متن کاملGeneralized Abstracted Mean Values
In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and monotonicities.
متن کاملAlgebraic Bethe Ansatz for XYZ Gaudin model
The eigenvectors of the Hamiltionians of the XYZ Gaudin model are constructed by means of the algebraic Bethe Ansatz. The construction is is based on the quasi-classical limit of the corresponding results for the inhomogeneous higher spin eight vertex model. EKS acknowledges the support of the Department of Mathematical Sciences, the University of Tokyo, where the most part of the work was done...
متن کاملCorrelation functions of the XYZ model with a boundary
Integral formulae for the correlation functions of the XYZ model with a boundary are calculated by mapping the model to the bosonized boundary SOS model. The boundary K-matrix considered here coincides with the known general solution of the boundary Yang-Baxter equation. For the case of diagonal K-matrix, our formulae reproduce the one-point function previously obtained by solving boundary vers...
متن کاملMean values of multiplicative functions
Let f(n) be a totally multiplicative function such that |f(n)| ≤ 1 for all n, and let F (s) = ∑∞ n=1 f(n)n−s be the associated Dirichlet series. A variant of Halász’s method is developed, by means of which estimates for ∑N n=1 f(n)/n are obtained in terms of the size of |F (s)| for s near 1 with 1. The result obtained has a number of consequences, particularly concerning the zeros of the p...
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: 2023
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.14.6.158