两个审稿人，第一个正，第二个负。
第一个的评价跟我们自己对文章的评价完全一致。我们本着死马当活马医的态度，没理由地利用abel求和法从一个
发散级数中提取出一个有限值，偏偏这个有限值跟实际值高度吻合。迄今我们也没搞明白为什么会这样。这大概
是第一个审稿人说我们的文章quite  unusual的原因。
第二个感觉就是要找理由灭我们。他不肯定我们的坦诚，反而以之为理由说我们没有把问题搞清楚。
不是所有问题都能一次性解决得干干净净的。

Re: *******
    Dynamical Friedel oscillation of a Fermi sea by J. M. Zhang and Y. Liu

Dear Prof. Dr. Zhang,

The above manuscript has been reviewed by two of our referees.
Comments from the reports appear below.

These comments suggest that the present manuscript is not suitable for
publication in the Physical Review.

Yours sincerely,

Yonko Millev
Associate Editor
Physical Review B
Email: prb@aps.org
http://journals.aps.org/prb/

Editorial: Materials Research in the Physical Review Journals
https://journals.aps.org/prb/edannounce/10.1103/PhysRevB.96.050001

----------------------------------------------------------------------
Report of the First Referee -- *******/Zhang

----------------------------------------------------------------------

The manuscript by Zhang and Liu concerns the dynamics of the Friedel

oscillations after the impurity potential is quenched. It is quite an

unusual paper. It does not solve any critical or even a hard physical

problem. On the contrary, the single-particle dynamics studied by the

authors can easily be obtained from standard numerical approaches for

very big systems. Still, it is very interesting to see how far one can

go with purely analytical calculations after appropriate approximation

is established.

Recently, the real-time dynamics of quantum systems has been

intensively studied for various quenches and drivings. The gross

majority of the published papers focused on purely numerical

calculations. Analytical estimates/explanations for the numerical

results are not very frequent but accurate analytical calculations,

similar to the research in the present manuscript, are really rare.

While the reported quantitative data concerning the Friedel

oscillation may be not very important (at least in my opinion), the

analytical approach itself is very elegant and may warrant publication

in the Physical Review B.

The manuscript is interesting and is clearly written. However, my

strongest objection concerns the fact that roughly half of the

manuscript covers the problems which have been published very recently

by one of the authors in Refs. [16,17] (although the derivation in the

present manuscript is more transparent). The main novelty in the

present manuscript concerns summation over single-particle momentum

states. I agree with the authors that the latter summation is still a

nontrivial task and it is hard to anticipate the results without

explicit calculations. In my opinion, the first part of the manuscript

which repeats the ideas and results of the previous publication should

be significantly shortened just to main consistency with the

subsequent parts which present original results. It is still possible

to present the extended version of this text within the Supplemental

Material.

In my opinion, there are also two minor issues which could be

clarified/improved:

The main message coming from Fig. 9 is that Eq. (49) holds true in the

thermodynamic limit. In order to support this claim the authors

present results just for two lattice sizes N=401 and N=1203. It would

be much more convincing if the authors follow conventional finite-size

scaling and show position of the plateau as a function of 1/N together

with the value following from Eq. (49). In the present manuscript as

well as in the previous publication the authors use the “ideal model”

to simply the studies of one-dimensional tight-binding model. I think

it would be very important to clarify to what extent the analytical

approach is flexible and could potentially be used for other models.

Would it be possible to introduce analogous “ideal model” also for

other dispersion relations or for 2D or 3D systems?

To summarize, I think that the manuscript presents very elegant

analytical studies concerning the dynamics of the Friedel oscillations

after quenching the impurity potential. The manuscript may be

published in the Physics Review B after the above issues are

clarified/improved.

----------------------------------------------------------------------
Report of the Second Referee -- *******/Zhang

----------------------------------------------------------------------

The Friedel oscillations are one of interesting phenomena in physics 
of quantum liquids. The response of an electrons to a static impurity 
placed in an electron gas is the screening action caused by 
interaction. The screened potential and the induced charge density 
exhibit long-range oscillations (known as Friedel oscillations) at 
rather large distances from the impurity instead of a naively expected 
exponential fall. This phenomenon is a direct consequence of the 
singular behavior of the screening function, which originates from the 
sharpness of the Fermi surface separating two different physical 
regimes in the process of the momentum transfer. 

In the present work the authors study the response of carriers in one 
dimensional lattice ring to sudden change of the potential in an 
arbitrary site. The authors find some temporal and spatial 
oscillations in this system and try to interpret them in terms of the 
above classic picture as some dynamical Friedel oscillations. As a 
primary observation it is found numerically that the local density of 
carriers oscillates between two plateaus periodically in time. The 
authors present an analytical formula for the heights of these 
plateaus and emphasize that it is the primary aim of their study. 
However, as pointed out also in the abstract, the method
used for this derivation has an unexpected relevance and accuracy,
which are not understood yet. In general, the presentation of the manuscript lacks 
clarity of formulations and goals. It is usually given in terms of 
some questions and their answers, even in the abstract, which are, 
however, not always helpful for readers to be oriented in the material 
presented. Also, the system under consideration represents a simple 
model, which has no direct applicability to many real 
quasi-one-dimensional structures currently available experimentally. I 
think the subject matter and style of presentation of this manuscript 
appropriate for another journal but the Physical Review.