论文标题
在一维相互作用的自旋-1气体的磁性阶段的四极，自旋和电荷的分离
Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas
论文作者
论文摘要
我们使用持续化研究了1D自旋1杆气体的低能集体特性。在概述了该技术并强调物理方面之后，我们将其应用于$ S = 1 $ bose-Hubbard Hamiltonian，并通过Time-MPS数值模拟确认了四极旋转电荷领域的新型分离。此外，通过单个粒子谱，我们显示了超氟米特绝缘子过渡的存在，以及由海森堡样的哈密顿量描述物理学的点。对于超流体和绝缘状态都可以找到磁相图。后者是通过将完整的Heisenberg Bienear-Biquadratic Hamiltonian分解为描述Mott绝缘子的完整的Heisenberg Bielinear-Biquadratic-Biquadratic-Biquadratic-Biquad-Biquad-Biquad-Biquadians。这使我们能够使我们的方法灵活且可转移到其他有趣的交互凝结物质系统中。
We study the low-energy collective properties of a 1D spin-1 Bose gas using bosonization. After giving an overview of the technique, emphasizing the physical aspects, we apply it to the $S=1$ Bose-Hubbard Hamiltonian and find a novel separation of the quadrupole-spin-charge sectors, confirmed by time-MPS numerical simulations. Additionally, through the single particle spectrum, we show the existence of the superfluid-Mott insulator transition and the point at which the physics are described by a Heisenberg-like Hamiltonian. The magnetic phase diagrams are found for both the superfluid and insulating regimes; the latter is determined by decomposing the complete Heisenberg bilinear-biquadratic Hamiltonian, which describes the Mott insulator, into simpler, effective Hamiltonians. This allows us to keep our methods flexible and transferable to other interesting interacting condensed matter systems.
