具有退相干噪声的紧束缚链中的精确密度分布
Exact density profile in a tight-binding chain with dephasing noise
AI总结：
本文利用Bethe ansatz精确求解了无限区间上带退相干噪声的紧束缚链的多体动力学，解析给出畴壁和交替初始条件下的平均密度渐近行为，揭示了扩散输运的普适出现及与对称简单排他过程的偏差修正。
摘要：
我们从理论上研究了无限区间上具有退相干噪声的紧束缚链的多体动力学。我们通过Bethe ansatz获得了畴壁和交替初始条件下平均粒子密度分布的精确解，并解析推导了长时间动力学的渐近表达式。对于畴壁初始条件，我们得到了平均密度的标度形式，阐明只要退相干强度为正，无论多么小，扩散输运总是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根据耗散强度的不同呈现振荡衰减或过阻尼衰减。此外，我们证明了渐近形式趋近于对称简单排他过程的渐近形式，并识别出对其的修正。
英文摘要：
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.
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