Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Ground state solutions of inhomogeneous Bethe equations

View through CrossRef
The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-\frac{1}{2}12 chain is investigated. Numerical calculations show that, for this state, the new inhomogeneous term does not contribute to the Baxter T-Q equation in the thermodynamic limit. Different families of Bethe roots are identified and their large N behaviour are conjectured and validated.
Title: Ground state solutions of inhomogeneous Bethe equations
Description:
The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-\frac{1}{2}12 chain is investigated.
Numerical calculations show that, for this state, the new inhomogeneous term does not contribute to the Baxter T-Q equation in the thermodynamic limit.
Different families of Bethe roots are identified and their large N behaviour are conjectured and validated.

Related Results

Aspects of Integrable Models
Aspects of Integrable Models
The objective of this thesis is to study the isotropic XXX-1/2 spin chain model using the Algebraic Bethe Ansatz. To this end, we discuss the concept of integrability as well as th...
SEISMIC SPARSE INVERSION METHOD OF IMAGING DATA FOR DETECTING DISCONTINUOUS AND INHOMOGENEOUS GEOLOGIES
SEISMIC SPARSE INVERSION METHOD OF IMAGING DATA FOR DETECTING DISCONTINUOUS AND INHOMOGENEOUS GEOLOGIES
AbstractThe small‐scale discontinuous and inhomogeneous geologies, such as tiny faults, cavities and fractures, play an important role in reservoir analysis. However, effectively e...
Ground ice detection and implications for permafrost geomorphology
Ground ice detection and implications for permafrost geomorphology
Most permafrost contains ground ice, often as pore ice or thin veins or lenses of ice. In certain circumstance, larger bodies of ice can form, such as ice wedges, or massive lenses...
‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models
‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models
Abstract In this work we construct the eigenstates of the most general spin-1/2 Richardson–Gaudin model integrable in an external magnetic field. This includes the p...
Advanced integrability techniques and analysis for quantum spin chains
Advanced integrability techniques and analysis for quantum spin chains
Analyse et techniques avancées d'intégrabilité pour l'étude de chaînes quantiques de spins Dans cette thèse sont principalement étudiés des systèmes quantiques inté...
Properties of Bethe Free Energies and Message Passing in Gaussian Models
Properties of Bethe Free Energies and Message Passing in Gaussian Models
We address the problem of computing approximate marginals in Gaussian probabilistic models by using mean field and fractional Bethe approximations. We define the Gaussian fractiona...
Bethe Ansatz
Bethe Ansatz
The Bethe Ansatz is a powerful method in the theory of quantum integrable models, essential for determining the energy spectrum of dynamical systems - from spin chains in magnetism...
On Semi-Analytical Solutions for Linearized Dispersive KdV Equations
On Semi-Analytical Solutions for Linearized Dispersive KdV Equations
The most well-known equations both in the theory of nonlinearity and dispersion, KdV equations, have received tremendous attention over the years and have been used as model equati...

Back to Top