Entanglement Dynamics of Three and Four Level Atomic System under Stark Effect and Kerr-Like Medium
Round 1
Reviewer 1 Report
In this paper, the authors discussed numerically the dynamics of quantum Fisher information (QFI) and entanglement for three and four-level atomic system interacting with a coherent field in the presence of Kerr and Stark effects. It is shown that Stark shift and Kerr effects play a prominent role during the time evolution of the quantum system. I think this paper present some misleading concepts i.e.
1) in Equation 12 the linear term which is called Kerr-effect, is not correct
2) Using the concept of Stark shift leads to transform the three-level system to an effective two-level system. It is not correct to generalize the concept to the four-level case
3) Even if mathematically correct, what is the new observation ? where the effect of the Kerr-like has been considered in both three-level and four-level cases before, see, Quantum field entropy and entanglement of a three-level atom two-mode system with an arbitrary nonlinear medium, Abdel-aty, M.2003 Journal of Modern Optics 50(2), pp. 161-177
and other papers in the references list in this paper.
I think that this paper needs to be rewritten and reconsider the correct concepts of both Kerr and Start effects within the proper physical model configuration.
Author Response
Dear Prof. Baron Yang,
Assistant Editor, MDPI,
Handling Editor, Quantum Reports
quantumrep-475507
Entanglement dynamics of three and four level atomic system under Stark effect and Kerr-like medium
Subject: Revised version of the manuscript and reply to the First referee comments
We have substantially revised the manuscript as advised by the referees and have made the changes as suggested by the referees. A detailed reply to the referee’s comments is attached here with.
With best regards,
S. Jamal.
Reply to the Comments of the first Referee:
1) In Equation 12, the linear term which is called Kerr-effect, is not correct
Ans:
We have corrected the equation 12 as pointed out by the referee.
2) Using the concept of Stark shift leads to transform the three-level system to an effective two-level system. It is not correct to generalize the concept to the four-level case
Ans:
We have considered the three and four level atomic systems separately in the presence of stark shift term and have represented the ground state of three and four-level atomic system in the matrix form.
3) What is the new observation? where the effect of the Kerr-like medium has been considered in both three-level and four-level cases before, see, Quantum field entropy and entanglement of a three-level atom two-mode system with an arbitrary nonlinear medium, Abdel-aty, M.2003 Journal of Modern Optics 50(2), pp. 161-177 and other papers in the references list in this paper.
Ans:
We have modified the results and conclusion sections to improve the quality of the manuscript and added some relevant references as well in the list.
I think that this paper needs to be rewritten and reconsider the correct concepts of both Kerr and Start effects within the proper physical model configuration.
Ans:
We have substantially revised the manuscript and corrected the concepts of both Kerr and Stark effects with proper physical model and also added the related figures of the proposed model.
Author Response File: 
Author Response.docx
Reviewer 2 Report
The manuscript presents a numerical simulation of quantum Fisher information (QFI) as a measure of entanglement for three and four-level atomic system interacting with a coherent field in the presence of Kerr (linear and non-linear medium) and Stark effects. The non-linear and linear Kerr medium and Stark effect are characterized by the corresponding parameters and the effects on QFI and entanglement are shown.
There have been a lot of interest recently on the use of QFI to study the loss of quantum coherence on different systems and even on the Jaynes–Cumming model used by the authors. This model represents the interaction between a two-level atom and cavity field of a quantized single-mode under the rotating wave approximation. However, the three and four-level atomic system interacting with a coherent field in the presence of Kerr (linear and non-linear medium) and Stark effects has not been studied before, up to my knowledge.
Nevertheless, I think that the quality of presentation is low. It looks like a first draft to me. There are serious flaws in the Introduction:
- The sentence
"The importance of QE in a different process has led to the observation and investigation of larger dimensional quantum systems and showsWhen an important and significant role in quantum systems of many-particles."
is unintelligible.
- Some verbal tenses are wrong and therefore some things done before seem to be done in this work.
Section 2. Introduction to quantum Fisher information (QFI) begins with
"This section may be divided by subheadings. It should provide a concise and precise description of the experimental results, their interpretation as well as the experimental conclusions that can be drawn.
This section may be divided by subheadings. It should provide a concise and precise description of the experimental results, their interpretation as well as the experimental conclusions that can be drawn."
which is also unintelligible.
In the same section, in the definition of QFI, there is a confusion between D and L.
These few examples show a sloppy presentation.
Another thing, and to enhance the Introduction, I want to suggest the authors that some example where the system studied in the manuscript may be found.
A word on the relationship between QFI and von Neumann entropy would also be helpful.
In summary, I cannot recommend the manuscript to be published due to the reasons given above. Anyhow I encourage the authors to rewrite the manuscript, and I will be glad to review a new and hopefully enhanced version because right now it is, in my opinion, a sloppy presentation of a nice work.
Author Response
Dear Prof. Baron Yang,
Assistant Editor, MDPI,
Handling Editor, Quantum Reports
quantumrep-475507
Entanglement dynamics of three and four level atomic system under Stark effect and Kerr-like medium
Subject: Revised version of the manuscript and reply to the second referee comments
We have substantially revised the manuscript as advised by the referees and have made the changes as suggested by the referees. A detailed reply to the referee’s comments is attached here with.
With best regards,
S. Jamal.
Reply to the Comments of 2nd Referee:
1) Nevertheless, I think that the quality of presentation is low. It looks like a first draft to me. There are serious flaws in the Introduction:
-The sentence
"The importance of QE in a different process has led to the observation and investigation of larger dimensional quantum systems and shows When an important and significant role in quantum systems of many-particles." is unintelligible. Some verbal tenses are wrong and therefore some things done before seem to be done in this work.
Ans:
We have modified the text accordingly and tried to correct all the verbal tenses, etc.
2) Fisher information (QFI) begins with "This section may be divided by subheadings. It should provide a concise and precise description of the experimental results, their interpretation as well as the experimental conclusions that can be drawn which is also unintelligible.
Ans:
We have divided the section 2 in subheadings as advised by the referee and tried to provide better interpretation of experimental results, numerical analysis and the conclusions.
3) In the same section, in the definition of QFI, there is confusion between D and L.
Ans:
We have replaced L by D to avoid the confusion and improved the presentation.
4) In order to enhance the Introduction, I want to suggest the authors that some example where the system studied in the manuscript may be found.
Ans:
We have modified the introduction section by adding some discussion on three- and four- level atomic system in the presence of Kerr medium.
5) A word on the relationship between QFI and von Neumann entropy would also be helpful.
Ans:
We have added discussion on the relationship between QFI and von Neumann entropy.
Author Response File: Author Response.docx
Round 2
Reviewer 2 Report
The manuscript has been changed and the presentation is good. Anyhow, there are still a couple of typos. Thus, I recommend publication.
Author Response
Dear Prof. Baron Yang,
Assistant Editor, MDPI,
Handling Editor, Quantum Reports
quantumrep-475507
Entanglement dynamics of three and four level atomic system under Stark effect and Kerr-like medium
Subject: Revised version of the manuscript and reply to the referee comments
We have substantially revised the manuscript as advised by the referee and have made the changes as suggested by the referee. A detailed reply to the referee’s comments is attached here with.
With best regards,
S. Jamal.
Reply to the Comments of the Referee:
The manuscript has been changed and the presentation is good. Anyhow, there are still a couple of typos. Thus, I recommend publication.
ANS:
We have corrected the typos errors.
Author Response File: Author Response.docx
