Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
, Gustavo Armendáriz 1, Leonardo López-Hernández 1, Víctor Velázquez 1,*, Edna Magdalena Hernández 1, Marcela Grether 1, Enrique López-Moreno 1 and Alejandro Frank 3,4Round 1
Reviewer 1 Report
The authors present an interesting study on the quantum chaos signature in the interference of photons, with the support of an experiment to their conclusions. The used experiment setup is a typical one, but the existence of involved quantum chaos was not well known and not extensively studied. Overall the presented results can be interesting to many researchers in the relevant fields.
On the other side, I would like to ask the authors to improve the presentation of their idea and results. For example, the citerion for quantum chaos---``a single photon can be thought to behave in a quantum chaotic way and characterized by 1/ f or pink noise for F = 3/4(PT = 1/4) and noise f for F = 1/4(PT = 3/4)"---can be explained directly in Sec. 3 (together with referring to other works, if possible), so that the reader could known better about the motivation.
Moreover, some English expressions in the manuscript should be revised. In the introduction paragraph, for instance, there is the sentence ``Radu et al. wanted to see what happens...". Corresponding to Spanish, it is ``Radu et al quisieron ver que pasa...", not like an expression in scientific work. Maybe it is better to write as ``Radu et al investigated what happens...". I hope the language would be well polished before the publication of this work.
Author Response
Please see the attachment.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
The paper reports on an experiment which links the superposition of wave and particle behaviour with notions of quantum chaos. The paper is well structured. The results seem robust and can be of interest to those who study foundations of quantum mechanics using single photons. However, I do have a few minor comments on the manuscript, which I list below:
In page 1, 20th line and 21, it is written “single photons wave and particle properties”. I guess there is a typo in the word “photons”.
In page 2, 43th line, the term “complexity theory” might confuse the reader. It should be changed to more appropriate term.
In page 2, 44th line, there is typo in “Finally.”
In page 3, 80th line, it is written “The Fano factor is then defined as:” A relevant reference for this definition should be placed here.
In page 3, 88th line, there is typo in “Theoretically, If…”
In page 3, 89th line, it is written “in a polarizing beamsplitter(PBS)”. The PBS meaning was defined before.
In page 3, 91th line, it is written “PBS”. No italic here. All labels should be uniform through all document.
In page 4, 137th line, check the English in this sentence “In this way are stored in two binary sequences…”
In page 6, it is written “Figure 3 shows the Fano factor F for the output port T, as a function of the probability PT” Can you put explicitly in the main text the relation between the Fano factor and the angle \phi of the HWP?
In Figure 3, it is shown the Fano factor for the transmission port. What is the Fano factor for the reflection port? It would be nice to have both plots in Figure 3 in order to have the complementary information.
In conclusion, I recommend publication once the Authors have answered and corrected the above questions.
Author Response
Please see the attachments.
Author Response File: Author Response.pdf
