Weak Value Amplification of Photons in Optical Nonlinear Medium, Opto-Mechanical, and Spin-Mechanical Systems
Round 1
Reviewer 1 Report
Comments and Suggestions for AuthorsIn the manuscript authors demonstrated weak value amplification effect by the postelection processes, for three systems.
In the first system it is the amplification effect of photons, in the Kerr media, as was done experimentally, Ref 23. There, authors presented dependence of amplification on the level of unbalance of the exit beam splitter, or effect of filtering as this was named in the mausciprt. The model clearly shows what is observed in Ref. 23, where the dark port of the beam splitter was used for a weak amplification of a single photon. It is mentioned that such filtering has to be another quantum measurements. Can this be explained? In ref 23, it seems that for“filtering”they just use the click of the detector facing the dark port of the output beam splitter.
In the second, opto-mechanical system, it is the amplification of phonons, where the post selection is used to amplify radiation pressure by the single photon. The filter here is applied when photon is detected on the dark side of the beam splitter. Again, the model clearly shows that displacement of the mirror is different with and without filtering. Since there are other models dealing with the similar post selection or dark port detection for amplifying the effect of a single photon, like in ref. 34, it will be good to specify what the novelty of these work vs previous models is.
The third is the spin-micro mechanical system, where the mechanical oscillator is measuring device. Here the postselection is via specific spin superposition target state. The results for a effect of a sinlge spin on number of phonons is different without and with postselection. The weak value amplification effect hasn’t been applied before on this system. In the line of the previous two systems, I suggest schematics that show how suggested filtering can be applied in practice.
I recommend publications of this manuscript in Photonics, after these minor revisions.
Author Response
We appreciate the comments and suggestions. In the revised version of the manuscript, all changes have been marked in blue (in the final version they should remain in the normal color). The referee has made 3 observations:
Observation Nº1: It is mentioned that such filtering has to be another quantum measurements. Can this be explained? In ref 23, it seems that for“filtering”they just use the click of the detector facing the dark port of the output beam splitter.
Answer Nº1: Lines 220-223 have been added to the manuscript in order to clarify this point.
Observation Nº2: Since there are other models dealing with the similar post selection or dark port detection for amplifying the effect of a single photon, like in ref. 34, it will be good to specify what the novelty of these work vs previous models is.
Answer Nº2: Lines 380-390 have been added to the manuscript to address this observation, together with references [39] and [40]. The novelty relies on an interference effect between meter states (super-oscillations), which exhibits a wave-like property of a moving mirror.
Observation Nº3: The weak value amplification effect hasn’t been applied before on this system. In the line of the previous two systems, I suggest schematics that show how suggested filtering can be applied in practice.
Answer Nº3: We have added lines 446-461 and references [43,44,45], which explain a real experiment based on a single trapped ion, where the amplification effect takes places. Also, Figure 4, with a schematic description of the experiment, was added to the manuscript.
Reviewer 2 Report
Comments and Suggestions for AuthorsThe manuscript presents a detailed investigation of amplification effects in photon- and phonon-based systems through post-selection processes. The technical content is thorough and well-organized, providing a comprehensive analysis of the amplification mechanisms and their implications in various quantum systems. The theoretical framework is sound, and the mathematical derivations are rigorous, enhancing the credibility of the study's findings. Overall, the manuscript presents valuable insights into quantum amplification phenomena and their potential applications, and is publishable in Photonics after revisions.
1. Please do not capitalize the title.
2. The authors mention the practical applications of weak value amplification in metrology, such as beam deflections and frequency shifts. Could they further elaborate a bit more on these relevant discussions?
3. When introducing assumptions or conditions for the experiment, could the authors provide a bit more explanations of why these assumptions are necessary or relevant?
4. Could the authors further discuss more potential extensions of the current research and suggest future directions for investigation?
Comments on the Quality of English LanguageMinor editing of English language required
Author Response
We appreciate all the comments and suggestions. In the revised version of the manuscript, all changes have been marked in blue (in the final version they should remain in the normal color). The referee has made 5 observations.
Observation Nº1: Please do not capitalize the title.
Answer Nº1: The corresponding change was made.
Observation Nº2: The authors mention the practical applications of weak value amplification in metrology, such as beam deflections and frequency shifts. Could they further elaborate a bit more on these relevant discussions?
Answer Nº2: Lines 30-38 were added to the manuscript to comment on an important experiment in which a beam displacement was amplified.
Observation Nº3: When introducing assumptions or conditions for the experiment, could the authors provide a bit more explanations of why these assumptions are necessary or relevant?
Answer Nº3: Lines 488-498 were added to the manuscript to address this observation. Also, lines 152-161 help to clarify the assumptions.
Observation Nº4: Could the authors further discuss more potential extensions of the current research and suggest future directions for investigation?
Answer Nº4: Lines 516-521 were added to the manuscript to comment on a line for further investigation, together with references [50] and [51]. Also, lines 513-515 describe potential directions for investigation.
Observation Nº5: Minor editing of English language required.
Answer Nº5: The manuscript was read again. Changes were made in lines 62-64, 74, 113, 471 and 503. Also, in caption of Table 1. All changes have been marked in blue.
