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Ferromagnetic Heisenberg spin chain in a resonator

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Chinese Physics B 2021年第9期30卷 178-183页

作者： Yusong cao junpeng cao Heng Fan Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xi'an 710127China CAS Center for Excellence in Topological Quantum Computation University of Chinese Academy of SciencesBeijing 100190China

We investigate the properties of a generalized Rabi model by replacing the two-level atom in Rabi model with a ferromagnetic Heisenberg spin *** find that the dynamical behavior of the system can be divided into four *** energy spectrum of the ground state and some low excited states are *** the magnons and the photon are in resonance,the model is exactly solvable and the rigorous solution is *** the resonance point where the detuning is small,the system is studied with the help of perturbation *** model has a spontaneously breaking of parity symmetry,suggesting the existence of a quantum phase *** critical exponent from the normal phase is computed.

关键词： magnon resonator quantum phase transition

Exact solution of an anisotropic J_(1)–J_(2)model with the Dzyloshinsky–Moriya interactions at boundaries

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Communications in Theoretical Physics 2021年第7期73卷 1-6页

作者： Yusong cao Jian Wang Yi Qiao junpeng cao Wen-Li Yang Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijingChina Songshan Lake Materials Laboratory DongguanGuangdong 523808China Peng Huanwu Center for Fundamental Theory Xian 710127China Institute of Modern Physics Northwest UniversityXian 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xian 710127China School of Physics Northwest UniversityXian 710127China

We propose a method to construct new quantum integrable *** an example,we construct an integrable anisotropic quantum spin chain which includes the nearest-neighbor,next-nearestneighbor and chiral three-spin *** is shown that the boundary fields can enhance the anisotropy of the first and last bonds,and can induce the Dzyloshinsky–Moriya interactions along the z-direction at the *** using the algebraic Bethe ansatz,we obtain the exact solution of the *** energy spectrum of the system and the associated Bethe ansatz equations are given *** method provided in this paper is universal and can be applied to constructing other exactly solvable models with certain interesting interactions.

关键词： quantum spin chain Bethe ansatz Yang–Baxter equation reflection equation

Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials

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Chinese Physics B 2021年第7期30卷 439-443页

作者： Xiang-Ping Jiang Yi Qiao junpeng cao Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xian 710127China

We study the topological properties of the one-dimensional non-Hermitian Kitaev model with complex either periodic or quasiperiodic *** obtain the energy spectrum and the phase diagrams of the system by using the transfer matrix method as well as the topological *** phase transition points are given *** Majorana zero modes in the topological nontrivial regimes are *** on the quasiperiodic potential,we obtain the phase transition from the topological superconducting phase to the Anderson localization,which is accompanied with the Anderson localization–delocalization transition in this non-Hermitian *** also find that the topological regime can be reduced by increasing the non-Hermiticity.

关键词： non-Hermitian physics Majorana zero modes transfer matrix

Exact solution of an integrable quantum spin chain with competing interactions

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Chinese Physics B 2021年第11期30卷 558-564页

作者： Jian Wang Yi Qiao junpeng cao Wen-Li Yang Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100190China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xi’an 710127China Institute of Modern Physics Northwest UniversityXi’an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi’an 710127China School of Physics Northwest UniversityXi’an 710127China

We construct an integrable quantum spin chain that includes the nearest-neighbor,next-nearest-neighbor,chiral threespin couplings,Dzyloshinsky–Moriya interactions and unparallel boundary magnetic *** the interactions in bulk materials are isotropic,the spins nearby the boundary fields are polarized,which induce the anisotropic exchanging interactions of the first and last *** U(1)symmetry of the system is broken because of the off-diagonal boundary *** the off-diagonal Bethe ansatz,we obtain an exact solution to the *** inhomogeneous T–Q relation and Bethe ansatz equations are given *** also calculate the ground state *** method given in this paper provides a general way to construct new integrable models with certain interesting interactions.

关键词： quantum spin chain Bethe ansatz Yang-Baxter equation

Dynamical learning of non-Markovian quantum dynamics

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Chinese Physics B 2022年第1期31卷 165-169页

作者： Jintao Yang junpeng cao Wen-Li Yang Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xi'an 710127China Institute of Modern Physics Northwest UniversityXi'an 710127China School of Physical Sciences Northwest UniversityXi'an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127China

We study the non-Markovian dynamics of an open quantum system with machine *** observable physical quantities and their evolutions are generated by using the neural *** the pre-training is completed,we fix the weights in the subsequent processes thus do not need the further gradient *** find that the dynamical properties of physical quantities obtained by the dynamical learning are better than those obtained by the learning of Hamiltonian and time evolution *** dynamical learning can be applied to other quantum many-body systems,non-equilibrium statistics and random processes.

关键词： machine learning quantum dynamics open quantum system

Integrable boundary conditions for the B2 model

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Communications in Theoretical Physics 2020年第1期72卷 5-12页

作者： Panpan Xue Guang-Liang Li junpeng cao Kun Hao Tao Yang Wen-Li Yang Kangjie Shi Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices Xian Jiaotong UniversityXian 710049China Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijingChina Songshan Lake Materials Laboratory DongguanGuangdong 523808China Institute of Modern Physics Northwest UniversityXian 710069China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xian 710069China School of Physics Northwest UniversityXian 710069China

New integrable B2 model with off-diagonal boundary reflections is *** general solutions of the reflection matrix for the B2 model are obtained by using the fusion *** that the reflection matrix has 7 free boundary parameters,which are used to describe the degree of freedom of boundary couplings,without breaking the integrability of the *** new quantization conditions will induce the novel structure of the energy spectrum and the boundary *** corresponding boundary effects can be studied based on the results in this ***,the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper.

关键词： Bethe Ansatz lattice integrable models Yang-Baxter equation reflection equation

推广t-J模型的坐标 Bethe Ansatz方法

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高能物理与核物理 2000年第3期24卷 203-207页

作者：岳瑞宏范桁曹俊鹏西北大学现代物理研究所西安710069 西北大学现代物理研究所西安710069

利用坐标ＢｅｔｈｅＡｎｓａｔｚ方法，研究了推广的ｔ—Ｊ模型的精确解，导出了两组ＢｅｔｈｅＡｎｓａｔｚ方程；同时证明了在两体散射问题中的散射矩阵正是三角型的非对称六顶角Ｒ矩阵．

关键词：推广t-J模型坐标Bethe Ansatz 高温超导

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

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Chinese Physics B 2023年第11期32卷 105-115页

作者：乔艺曹俊鹏杨文力石康杰王玉鹏 Institute of Modern Physics Northwest UniversityXi'an 710127China Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xi'an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127China

We investigate the t–W scheme for the anti-ferromagnetic X X X spin chain under both periodic and open boundary conditions. We propose a new parametrization of the eigenvalues of the transfer matrix. Based on it, we obtain the exact solution of the system. By analyzing the distribution of zero roots at the ground state, we obtain the explicit expressions of the eigenfunctions of the transfer matrix and the associated W operator(see Eqs.(10) and(70)) in the thermodynamic limit. We find that the ratio of the quantum determinant with the eigenvalue of W operator for the ground state exhibits exponential decay behavior. Thus this fact ensures that the so-called inversion relation(the t–W relation without the W-term) can be used to study the ground state properties of quantum integrable systems with/without U(1)-symmetry in the thermodynamic limit.

关键词： quantum spin chain bethe ansatz Yang-Baxter equation

Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields

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Chinese Physics B 2023年第1期32卷 483-492页

作者：董家生路鹏程孙佩乔艺曹俊鹏郝昆杨文力 Institute of Modern Physics Northwest UniversityXi'an 710127China Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physics Northwest UniversityXi'an 710127China Peng Huanwu Center for Fundamental Theory Xi'an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China

We study the physical properties of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields. By using a combination of numerical analysis and analytical method, we obtain the surface energy and elementary excitations of the model. It shows that the contributions of the two boundary fields to the surface energy are additive. We also find that there exists a kind of excitations related to the boundary string.

关键词： quantum spin chain integrable systems Bethe ansatz