论文标题
Liouvillian GAP和单个自旋动力学中的耗散费米 - 拉ubbard模型
Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model
论文作者
论文摘要
由于最近的冷原子实验进展，我们在$ d $ d $维度的超维度晶格上分析了SU（$ n $）Fermi-Hubbard模型，并损失了两体损失。通过关注铁磁稳态附近的州，我们以任何$ d $和$ n $的封闭形式获得了liouvillian差距。我们还研究了分析和数值的单个自旋翻转的铁磁初始状态的动力学。特别是，我们表明，通过降低相互作用和损失的强度，自旋翻转的生存概率表现出从幂律衰减到指数衰减的交叉。我们希望我们的发现可以通过光学晶格中的超电碱性原子进行实验测试。
Motivated by recent progress in cold-atom experiments, we analyze the SU($N$) Fermi-Hubbard model on a $d$-dimensional hypercubic lattice with two-body loss. By focusing on states near the ferromagnetic steady states, we obtain the Liouvillian gap in closed form for any $d$ and $N$. We also investigate the dynamics of a ferromagnetic initial state with a single spin flip both analytically and numerically. In particular, we show that, by decreasing the strength of the interaction and loss, the survival probability of the spin flip exhibits a crossover from the power-law decay to the exponential decay. We expect that our findings can be tested experimentally with ultracold alkaline-earth-like atoms in an optical lattice.
