一维哈伯德模型中含缺陷纠缠的绝热冻结
Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model
摘要：
我们报道了掺杂的一维哈伯德模型的基态相位，对于大的现场相互作用由$t$ - $J$哈密顿量，其中现存的纠缠是不变的扰动或突然变化的系统参数，称为绝热冻结的现象。我们观察到，在金属Luttinger液相的模型二分纠缠多项式衰减，并被冻结，相反的变量，指数衰减的相分离和超导自旋间隙阶段。值得注意的是，在低的固定电子密度，自旋带隙相显示出显着的亲和力掺杂共振价键气体，多体纠缠冻结在所有参数空间。我们注意到，纠缠，在一般情况下，是敏感的外部扰动，在几个系统中观察到的，迄今为止，没有这样的不变性或冻结行为已被报道。
英文摘要：
We report on ground state phases of a doped one-dimensional Hubbard model, which for large onsite interactions is governed by the $t$-$J$ Hamiltonian, where the extant entanglement is immutable under perturbative or sudden changes of system parameters, a phenomenon termed as adiabatic freezing. We observe that in the metallic Luttinger liquid phase of the model bipartite entanglement decays polynomially and is adiabatically frozen, in contrast to the variable, exponential decay in the phase-separation and superconducting spin-gap phases. Significantly, at low fixed electron densities, the spin-gap phase shows remarkable affinity to doped resonating valence bond gas, with multipartite entanglement frozen across all parameter space. We note that entanglement, in general, is sensitive to external perturbation, as observed in several systems, and hitherto, no such invariance or freezing behavior has been reported.
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