Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU(N) Hubbard models
Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU(N) Hubbard models
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SU(N) Hubbard 模型中莫特绝缘态的噪声相关性与自旋结构因子之间的关系
DOI：
10.1103/physreva.107.043313
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发表时间：
2023
影响因子：
2.9
通讯作者：
Mathias Mikkelsen and Ippei Danshita
中科院分区：
文献类型：
--
作者：
Koshi Oi;Jiang Pu;Hao Ou;Rei Usami;Takahiko Endo;Yasumitsu Miyata;Keisuke Shinokita;Kazunari Matsuda;Taishi Takenobu;横田紘子，林田健志，北原暖，木村剛;Pradipto and Hisao Hayakawa;Yuzuru Sato;石渡 哲哉;Teppei Ogihara;K. P. Nayak and K. Muhammed Shafi;渡部 善隆;Mathias Mikkelsen and Ippei Danshita
在冷原子实验中，通过飞行时间成像测量的噪声关联与囚禁原子气体动量空间中的密度-密度关联相对应，可以探测SU（2）Hubbard模型Mott绝缘区深处的自旋结构因子。在强相互作用极限下，我们明确地导出了任意整数填充下Hubbard模型的噪声关联与自旋结构因子之间的数学关系。本文用密度矩阵重整化群方法计算了一维Fermi-Hubbard模型的基态，在强相互作用区数值证实了这种关系，其中和表示在位相互作用和跳跃能。我们表明，实际的噪声相关性和那些从自旋结构因子尺度的基础上的数值和半解析参数appromatlyforat中间和大的晶格尺寸之间的偏差。
It is well established that the noise correlations measured by time-of-flight imaging in cold-atom experiments, which correspond to the density-density correlations in the momentum space of trapped atomic gases, can probe the spin structure factor deep in the Mott-insulating regime of SU(2) Hubbard models. We explicitly derive the mathematical relation between the noise correlations and the spin structure factor in the strong-interaction limit ofHubbard models at any integer filling. By calculating the ground states of one-dimensionalFermi-Hubbard models forwith use of the density-matrix renormalization-group method, we confirm the relation numerically in the regime of strong interactions, whereanddenote the on-site interaction and the hopping energy. We show that the deviation between the actual noise correlations and those obtained from the spin structure factor scales as approximatelyforat intermediate and large lattice sizes on the basis of numeric and semianalytic arguments.