论文标题

评论“扰动多体量子系统与数字和实验的放松理论”

Comment on "Relaxation theory for perturbed many-body quantum systems versus numerics and experiment"

论文作者

Secular, Paul

论文摘要

在最近的一封信中[Dabelow和Reimann,Phys。莱特牧师。 124,120602(2020)],将扰动弛豫理论应用于Bose-Hubbard模型,并将其与量子模拟器实验的数据进行了比较[Trotzky等。 Nature Phys 8,325(2012)]。在此评论中,我认为发现的差异是由于在实验中可观察到的准本地观察到的差异是受分析计算中未征收的谐波捕获势的影响。我支持使用平行时间不断变化的块分解算法(TEBD)计算出的准表演数字的主张,并表明与适当的局部观察到的局部可观察到的弛豫理论相比,弛豫理论可为正确的限制提供了正确的限制。最后,我注意到我的数字不同意Trotzky等人的T-DMRG计算。但是,与他们的实验结果给出更好的定性协议。

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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