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math-ph2025

Tensor-Network Analysis of Root Patterns in the XXX Model with Open Boundaries

Zhouzheng Ji, Pei Sun, Xiaotian Xu +3

The string hypothesis of Bethe roots is a cornerstone in the thermodynamic analysis of quantum integrable systems, since it connects root configurations with physical quantities su…

math-ph2024

Exact surface energy of the Hubbard model with nonparallel boundary magnetic fields

Pei Sun, Yi Qiao, Tao Yang +2

In this study, we explore the precise physical quantities in the thermodynamic limit of the one-dimensional Hubbard model with nonparallel boundary magnetic fields based on the off…

math-ph2023

Off-diagonal approach to the exact solution of quantum integrable systems

Yi Qiao, Junpeng Cao, Wen-Li Yang +2

We investigate the - scheme for the anti-ferromagnetic XXX spin chain under both periodic and open boundary conditions. We propose a new parametrization of the eigenvalues of…

math-ph20231 cited

Exact solution of the -deformed vertex model with open boundaries

Guang-Liang Li, Junpeng Cao, Yi Qiao +1

In this paper, we study the exact solution of the -deformed quantum lattice model with non-diagonal open boundary condition. We demonstrate the crossing symmetry of…

math-ph2020

Graded Off-diagonal Bethe ansatz solution of the spin chain model with generic integrable boundaries

Xiaotian Xu, Junpeng Cao, Yi Qiao +3

The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (i.e., quantum integrable models associated with superalgebras). As an exa…

math-ph2020

Exact ground state and elementary excitations of a topological spin chain

Yi Qiao, Pei Sun, Junpeng Cao +3

A novel Bethe Ansatz scheme is proposed to calculate physical properties of quantum integrable systems without symmetry. As an example, the anti-periodic XXZ spin chain, a t…