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20232026
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math-ph2026

Integrable Stochastic Processes Associated with the Algebra

Guang-Liang Li, Xin Zhang, Junpeng Cao +2

We introduce an integrable stochastic process associated with the quantum group, which can be decomposed into two symmetric simple exclusion processes. We establish the integ…

math-ph2025

An integrable Anderson-impurity problem embedded in the one-dimensional Hubbard model

Renjie Song, Mingchen Zheng, Junpeng Cao +1

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method.…

math-ph2024

Exact physical quantities of the XYZ spin chain in the thermodynamic limit

Zhirong Xin, Junpeng Cao, Wen-Li Yang +1

The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer mat…

math-ph2024

Exact solution of a quantum integrable system associated with the exceptional Lie algebra

Guang-Liang Li, Junpeng Cao, Pei Sun +3

A quantum integrable spin chain model associated with the exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused tr…

math-ph2024

Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields

Zhirong Xin, Junpeng Cao, Wen-Li Yang +1

We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the -symmetry is broken, by using the new p…