Generalized hydrodynamics with dephasing noise
Generalized hydrodynamics with dephasing noise
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DOI：
10.1103/physrevb.102.161110
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发表时间：
2020-10-16
影响因子：
3.7
通讯作者：
De Luca, Andrea
中科院分区：
文献类型：
--
作者：
Bastianello, Alvise;De Nardis, Jacopo;De Luca, Andrea
我们考虑了存在外部退相噪声的相互作用可积系统的非平衡动力学。在噪声的空间相关性很大的限制下，我们基于流体动力学公式发展了对系统动力学的精确描述。这导致了标准广义流体力学理论的一个附加项，描述了系统准粒子动量空间中的扩散动力学，具有依赖于时间和动量的扩散常数。然后，通过与非线性薛定谔方程的微观模拟相比较，我们的分析预测以经典极限为基准，显示出完美的一致性。在量子情况下，我们的预测与各向异性海森堡自旋在可达时间范围内的最新数值模拟以及在小退相时间和温度限制下的玻色化预测相一致。
We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an exact description of the dynamics of the system based on a hydrodynamic formulation. This results in an additional term to the standard generalized hydrodynamics theory describing diffusive dynamics in the momentum space of the quasiparticles of the system, with a time- and momentum-dependent diffusion constant. Our analytical predictions are then benchmarked in the classical limit by comparison with a microscopic simulation of the nonlinear Schrodinger equation, showing perfect agreement. In the quantum case, our predictions agree with state-of-the-art numerical simulations of the anisotropic Heisenberg spin in the accessible regime of times and with bosonization predictions in the limit of small dephasing times and temperatures.