As perhaps the most studied paradigm for a quantum phase transition, the periodic quantum Ising chain is exactly solvable via the Jordan-Wigner transformation followed by a Fourier transform that diagonalizes the model in the momentum space of spinless fermions. Although the above procedures are well-known, there remain some subtle points to be clarified regarding the correspondence between the real-space and momentum-space representations of the quantum Ising ring, especially those related to fermion parities. In this work, we establish the relationship between the two fully aligned ferromagnetic states in real space and the two degenerate momentum-space ground states of the classical Ising ring, with the former being a special case of the factorized ground states of the more general XYZ model on the frustration-free hypersurface. Based on this observation, we then provide a Pfaffian formula for calculating real-time dynamics of the parity-breaking longitudinal magnetization with the system initially prepared in one of the two ferromagnetic states and under translationally invariant drivings. The formalism is shown to be applicable to systems with the help of online programs for the numerical computation of the Pfaffian, thus providing an efficient method to numerically study, for example, the emergence of discrete time crystals in related systems.
Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional Excitations
利用高分辨率太赫兹光谱研究了反铁磁Heisenberg-Ising自旋链化合物BaCo $_2$ V $_2$ O $_8$的量子自旋动力学随温度和纵向磁场的变化.在低于$T_N\simeq 5.5$ K的反铁磁相中观察到了受限的自旋激发。在一个以上的$B_c=3.8$ T的场诱导的无带隙阶段，我们确定多体弦激发以及低能量分数psinon/antipsinon激发通过比较Bethe-Anglesia计算。在$B_c$附近，高能量弦激发被发现是动态占主导地位的分数激发。
Longitudinal-Field-Driven Transition in a non-integrable Non-Hermitian Transverse-Field Ising Chain via RBMs
University of Buea（布埃亚大学）；Promotion Centre of Research for Technological Advancement and Sustainable Development (PCR-TASD)（促进技术进步与可持续发展研究中心）；Quantum Materials and Computing Group (QMaCG)（量子材料与计算研究组）；Université des Sciences et Techniques de Masuku（马苏库科学技术大学）；Laboratoire d’Optique, Laser et Applications（光学、激光与应用实验室）；Unité de Recherche en Physique（物理学研究单位）；Département de Physique, Faculté des Sciences（理学院物理系）；University of Dschang（贾昂大学）；Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (URMACETS)（凝聚态、电子与信号处理研究单位）；Department of Physics, Faculty of Science（理学院物理系）；Higher Teachers Training College（高等师范专科学校）；The University of Maroua（马里瓦大学）
Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
Dipartimento di Fisica dell’Università di Roma La Sapienza and INFN, Sezione di Roma I（罗马大学物理系与INFN罗马第一分部）；Dipartimento di Fisica dell’Università di Pisa and INFN（比萨大学物理系与INFN）；Dipartimento di Fisica dell’Università di Pisa（比萨大学物理系）
Universality of Heisenberg-Ising chain in external fields
基于最近对准一维反铁磁体Sr（Ba）Co $_2$ V $_2$ O $_8$的横向场实验研究，我们研究了在两个面内相互垂直的横向场和一个四周期纵向场（其中面内横向场是均匀的或交错的）的组合下Heisenberg-Ising链的量子相变.当自旋相互作用的$x$和$y$分量和四周期场不存在时，该模型可以么正映射到一维横场伊辛模型（1DTT）.当这两个条款是本，分析和数值计算的努力，我们证明了系统经历了二阶量子相变与增加的横向领域，临界指数以及中心荷落入1DTT的普遍性。我们的结果自然地证实了在已有的实验中观察到的Sr（Ba）Co $_2$ V $_2$ O $_8$在[100]或[110]方向横向场作用下的一维量子相变的1DTT普适性.在不同的调谐参数的临界表面与1DTT的普遍性被确定和剪影表现出普遍存在的普遍性在一个更广泛的范围内的模型比传统的理解。因此，我们的研究结果提供了一个广泛的指导框架，以促进实验实现的1DTT的普遍性，在真正的材料。
Ludwig Maximilian University of Munich（慕尼黑大学）；Technical University of Munich（慕尼黑工业大学）；Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Kyung Hee University（庆熙大学）
A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
University of Dhaka（达卡大学）；North Carolina State University（北卡罗来纳州立大学）；Purdue University（普渡大学）；University of Calcutta（加尔各答大学）；Virginia Tech（弗吉尼亚理工大学）；University of Exeter（埃克塞特大学）
Microscopic Dynamics of False Vacuum Decay in the $2+1$D Quantum Ising Model
Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Ludwig Maximilian University of Munich（慕尼黑大学）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Loughborough University（拉夫堡大学）；Eberhard Karls Universität Tübingen（蒂宾根大学）；Kyung Hee University（庆熙大学）
