We introduce a generalization of the Fredkin spin chain with tunable three-body interactions expressed in terms of conventional spin-half operators. Of the model's two free parameters, one controls the preference for Ising antiferromagnetism and the other controls the strength of quantum fluctuations. In this formulation, the so-called $t$-deformed model (an exactly solvable, frustration-free Hamiltonian) lives on a unit circle centered on the origin of the phase diagram. The circle demarcates the boundary between ferromagnetic order inside and various antiferromagnetic phases outside. Throughout most of the non-ferromagnetic parts of the phase diagram, the ground state has Dyck word form: i.e., all contributing spin configurations exhibit perfect matching and nesting of spin up and spin down. The exceptions are two regions in which Dyck word mismatches are energetically favorable. We remark that in those regions the energy level spacing can be exponentially small in the system size. It is also the case that exact diagonalization reveals a highly idiosyncratic energy spectrum, presumably because the hard spin twist at the chain ends induces strong incommensurability effects on the bulk system when the chain length is small. As a convergence check, we benchmark our DMRG results to near-double-precision floating-point accuracy against analytical results at exactly solvable points and against exact diagonalization results for small system sizes across the entire parameter space.
Spin-chain system as a tunable simulator of frustrated planar magnetism
在低温下,弱耦合的自旋链发展出一种磁序,反映了沿着链的无隙自旋波动的特征。利用核磁共振,我们确定和表征两个有序态的反铁磁,Ising类自旋链系统BaCo 2 V 2 O 8,沿链的无公度波动所产生的无隙区域。它们对应于正方形晶格上受抑J1-J2自旋模型的柱状和铁磁有序态,其中自旋被编码在原始自旋链中。由于依赖于磁场的无公度涨落和受抑的链间相互作用,J1可以随磁场连续调谐,并且其相对于固定J2的值选择有序状态。因此,自旋链系统可以用作受抑平面磁性的可调谐模拟器。
Hierarchy of energy scales and field-tunable order by disorder in dipolar-octupolar pyrochlores
偶极-八极烧绿石磁体在[110]方向上施加的强外部磁场中已知形成具有次广简并的“链”状态。磁矩沿一维链进行相关的有效伊辛自由度是不相互作用的平均场水平。在这里,我们详细研究了这种现象,包括量子涨落的影响。我们确定了两种不同类型的链阶段,都具有不同的次广泛的,经典的基态简并。本文针对其中的一类,讨论了量子涨落对经典简并度的提升。利用线性自旋波理论和实空间微扰理论,我们绘制了基态相图作为交换耦合的函数。我们发现在基态选择中存在一个能量尺度的层次结构,随着层次结构的下降,系统的有效维数以一种复杂的方式变化。我们得到了一个有效的二维各向异性三角格子伊辛模型,它只需要三个自由参数,这解释了所观察到的行为。将我们的结果与实验相联系,它们与Nd $_2$ Zr $_2$ O $_7$中无序链态的观察结果一致。我们还表明,两种不同类型的链相的存在下,最近在Ce $_2$ Sn $_2$ O $_7$中观察到的明显的$U(1)$八极量子液相的场诱导击穿的后果。
Tunable Magnetic Order in Chiral Coupled Spin Chains
Max Planck Institute for the Physics of Complex Systems(马克斯·普朗克复杂系统物理研究所);Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto(波尔图大学理学院物理与天文系);Centro de Física das Universidades do Minho e do Porto (CF-UM-UP)(米尼奥大学和波尔图大学物理中心);Laboratório de Física para Materiais e Tecnologias Emergentes LaPMET(新兴材料与技术物理实验室);Universidade do Porto(波尔图大学);Instituto Superior de Engenharia de Lisboa(里斯本高等工程学院);Instituto Politécnico de Lisboa(里斯本理工学院);GoLP/Instituto de Plasmas e Fusão Nuclear(等离子体与核聚变研究所);Instituto Superior Técnico(高等理工学院);Universidade de Lisboa(里斯本大学)
Many-body localization in a disordered quantum Ising chain
当有限相互作用下安德森局域化持续存在时,孤立量子系统中发生多体局域化。尽管有强有力的证据表明存在一个多体局域化过渡的临界无序强度的可靠提取是困难的,由于一个大的漂移与系统的大小在研究的数量。在这项工作中,我们探讨了两个纠缠特性,是有希望的研究多体局域化转变:半链纠缠熵的变化的确切本征态和长时间的变化后,纠缠的本地淬火从一个确切的本征态。我们研究了无序量子伊辛链中的这些量,并用它们来估计临界无序强度及其能量依赖性。此外,我们分析了自旋玻璃化转变在大的无序强度,并提供证据,它是一个单独的过渡。因此,我们对最近提出的具有局域化保护量子序的多体局域化相图[Huse et al. Phys. Rev. B 88,014206(2013)]给出了数值支持。
Quantum quenches in a spin-1 chain with tunable symmetry
Instituto de Física, Universidad Nacional Autónoma de México(墨西哥国立自治大学物理研究所);Harish-Chandra Research Institute(哈里什-昌德拉研究所);Homi Bhabha National Institute(霍米·巴巴国立研究所);Department of Physics, Harvey Mudd College(哈维穆德学院物理系)
On the emergence of quantum many-body chaos for tunably-broken integrability
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research(国际理论科学中心,塔塔基础研究所);Max-Planck-Institut für Physik komplexer Systeme(马克斯·普朗克复杂系统物理研究所)