V. N. Karazin Kharkiv National University, Svobody Sq. 4, Kharkiv, 61022, Ukraine.
Adam Mickiewicz University in Poznań, Uniwersytetu Poznańskiego 2, 61-614, Poznań, Poland.
Sci Rep. 2023 Jun 17;13(1):9857. doi: 10.1038/s41598-023-37077-1.
We explore the rich nature of correlations in the ground state of ultracold atoms trapped in state-dependent optical lattices. In particular, we consider interacting fermionic ytterbium or strontium atoms, realizing a two-orbital Hubbard model with two spin components. We analyze the model in one-dimensional setting with the experimentally relevant hierarchy of tunneling and interaction amplitudes by means of exact diagonalization and matrix product states approaches, and study the correlation functions in density, spin, and orbital sectors as functions of variable densities of atoms in the ground and metastable excited states. We show that in certain ranges of densities these atomic systems demonstrate strong density-wave, ferro- and antiferromagnetic, as well as antiferroorbital correlations.
我们探索了被困在依赖于状态的光学格子中的超冷原子基态中相关的丰富性质。具体来说，我们考虑相互作用的费米子 ytterbium 或 strontium 原子，实现了具有两个自旋分量的两个轨道 Hubbard 模型。我们通过精确对角化和矩阵乘积态方法，在一维设置中分析了实验上相关的隧道和相互作用幅度的层次结构，并研究了密度、自旋和轨道部分的相关函数，作为基态和亚稳态激发态中原子密度的函数。我们表明，在某些密度范围内，这些原子系统表现出强的密度波、铁磁和反铁磁以及反铁轨道相关。
