标题： 带退相干噪声的紧束缚链中的精确密度剖面 显示英文标题

标题： Exact density profile in a tight-binding chain with dephasing noise

摘要： 我们理论上研究了无限区间上具有退相噪声的紧束缚链的多体动力学。 通过 Bethe 假设，我们得到了域墙和交替初始条件下的平均粒子密度分布的精确解，并解析推导出长时间动力学的渐近表达式。 对于域墙初始条件，我们获得了平均密度的标度形式，阐明了只要退相强度为正（无论多小），扩散输运总是会在长时间动力学中出现。 对于交替初始条件，我们的精确解表明平均密度表现出振荡衰减或过阻尼衰减，这取决于耗散的强度。 此外，我们证明了渐近形式趋近于对称简单排除过程的结果，并识别了来自该过程的修正。 显示英文摘要

摘要： We theoretically investigate the many-body dynamics of a tight-binding chain with dephasing noise on the infinite interval. We obtain the exact solution of an average particle-density profile for the domain wall and the alternating initial conditions via the Bethe ansatz, analytically deriving the asymptotic expressions for the long time dynamics. For the domain wall initial condition, we obtain the scaling form of the average density, elucidating that the diffusive transport always emerges in the long time dynamics if the strength of the dephasing, no matter how small, is positive. For the alternating initial condition, our exact solution leads to the fact that the average density displays oscillatory decay or over-damped decay depending on the strength of the dissipation. Furthermore, we demonstrate that the asymptotic forms approach those of the symmetric simple exclusion process, identifying corrections from it.