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20042026
most citedQuantum Simulation for High Energy Physics

332 citations

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28 papers · 1 filter

math-ph2025★ 1 cited

Exact physical quantities of the spin chain model with generic open boundary conditions

Pengcheng Lu, Junpeng Cao, Wen-Li Yang +2

We study the quantum integrable spin chain model associated with the twisted algebra (or simply the model) under generic open boundary conditions. The Hamil…

math-ph2024

Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries

Xiaotian Xu, Pei Sun, Xin Zhang +2

We study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe quantum systems exhibiting novel long-range interactions. Usin…

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★ 1 cited

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

Pengcheng Lu, Junpeng Cao, Wen-Li Yang +2

The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra symmetry. Applying the method, we derive the homogeneous ze…

math-ph2024★ 2 cited

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…

math-ph2024★ 2 cited

Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries

Jiasheng Dong, Pengcheng Lu, Junpeng Cao +3

We investigate the thermodynamic limit and exact surface energy of the isotropic spin-1 Heisenberg chain with integrable generic open boundary conditions by a novel Bethe ansatz me…

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★ 2 cited

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-ph2023★ 1 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-ph2022★ 2 cited

Elementary excitations in an integrable twisted J1-J2 spin chain in the thermodynamic limit

Wei Wang, Yi Qiao, Rong-Hua Liu +2

The exact elementary excitations in a typical U(1) symmetry broken quantum integrable system, that is the twisted J1-J2 spin chain with nearest-neighbor, next nearest neighbor and…

math-ph2022

Exact physical quantities of a competing spin chain in the thermodynamic limit

Pengcheng Lu, Yi Qiao, Junpeng Cao +1

We study the exact physical quantities of a competing spin chain which contains many interesting and meaningful couplings including the nearest neighbor, next nearest neighbor, chi…

math-ph2022★ 4 cited

Exact surface energy of the spin chain with generic non-diagonal boundary reflections

Guang-Liang Li, Yi Qiao, Junpeng Cao +3

The exact solution of the quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantit…

math-ph2022★ 6 cited

Spectrum of the quantum integrable spin chain with generic boundary fields

Guang-Liang Li, Junpeng Cao, Wen-Li Yang +2

Exact solution of the quantum integrable spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be fa…

math-ph2022★ 1 cited

Spectrum of the transfer matrices of the spin chains associated with the Lie algebra

Guang-Liang Li, Junpeng Cao, Xiao-Tian Xu +4

We study the exact solution of quantum integrable system associated with the twist Lie algebra, where the boundary reflection matrices have non-diagonal elements thus t…

math-ph2021★ 1 cited

Scattering matrix of elementary excitations in the antiperiodic XXZ spin chain with η=iπ/3

Pei Sun, Jintao Yang, Yi Qiao +2

We study the thermodynamic limit of the antiperiodic XXZ spin chain with the anisotropic parameter . We parameterize eigenvalues of the transfer matrix by their zer…

math-ph2021★ 1 cited

Surface energy of the one-dimensional supersymmetric model with general integrable boundary terms in the antiferromagnetic sector

Pei Sun, Yang-Yang Chen, Tao Yang +2

In this paper, we study the surface energy of the one-dimensional supersymmetric model with unparallel boundary magnetic fields, which is a typical -symmetry broken qua…

math-ph2021★ 5 cited

Exact ground state and elementary excitations of a competing spin chain with twisted boundary condition

Wei Wang, Yi Qiao, Junpeng Cao +2

A novel Bethe ansatz scheme is proposed to investigate the exact physical properties of an integrable anisotropic quantum spin chain with competing interactions among the nearest,…

math-ph2021★ 3 cited

Exact solution of the quantum integrable model associated with the twisted algebra

Guang-Liang Li, Xiaotian Xu, Kun Hao +5

We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted algebra (or the model) with either periodic…

math-ph2021★ 9 cited

Root patterns and energy spectra of quantum integrable systems without symmetry: antiperiodic spin chain

Xiong Le, Yi Qiao, Junpeng Cao +3

Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without symm…

math-ph2021★ 3 cited

T-W relation and free energy of the Heisenberg chain at a finite temperature

Pengcheng Lu, Yi Qiao, Junpeng Cao +3

A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t-W relation of the quantum transfer matrices. The free…

math-ph2020★ 6 cited

Exact solutions of the quantum spin chain

Guang-Liang Li, Panpan Xue, Pei Sun +5

We study the exact solutions of quantum integrable model associated with the Lie algebra, with either a periodic or an open one with off-diagonal boundary reflections, by gen…

math-ph2020★ 4 cited

Thermodynamic limit of the spin- XYZ spin chain with the antiperiodic boundary condition

Zhirong Xin, Yusong Cao, Xiaotian Xu +3

Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin- XYZ spin chain with the antiperiodic boundary condition. The key point o…

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★ 20 cited

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…