评“受扰多体量子系统的弛豫理论与数值和实验”
Comment on "Relaxation theory for perturbed many-body quantum systems versus numerics and experiment"
摘要：
在最近的一封信[Dabelow和Reimann，物理学。124，120602（2020）]，将微扰弛豫理论应用于玻色-哈伯德模型，并与量子模拟器实验的数据进行比较[Trotzky等人，Nature Phys 8，325（2012）]。在这篇评论中，我认为，发现的差异是由于准本地可观察到的实验中被影响的谐波捕获潜力，这是在解析计算中无法解释的。我支持我的主张与准精确数值计算使用并行时间演变块抽取算法（TEBD），并表明，松弛理论给出了准确的结果，在正确的限制相比，一个适当的本地观察。最后，我注意到，我的数值不同意的t-DMRG计算Trotzky等人。但给出更好的定性协议与他们的实验结果。
英文摘要：
In a recent Letter [Dabelow and Reimann, Phys. Rev. Lett. 124, 120602 (2020)], a perturbative relaxation theory is applied to the Bose-Hubbard model and compared to data from a quantum simulator experiment [Trotzky et al. Nature Phys 8, 325 (2012)]. In this Comment, I argue that the discrepancy found is due to the quasi-local observable measured in the experiment being affected by a harmonic trapping potential that is unaccounted for in the analytic calculation. I support my claim with quasi-exact numerics computed using a parallel time-evolving block decimation algorithm (TEBD), and show that the relaxation theory gives accurate results in the correct limit when compared to an appropriate local observable. Finally, I note that my numerics disagree with the t-DMRG calculations of Trotzky et al. but give better qualitative agreement with their experimental results.
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