Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work

Dear Editor,
Hereby we resubmit our manuscript for publication in Sci Post.
We sincerely thank the referees for their careful reading of our manuscript and their positive reviews.
We have made all the corrections suggested by the referees.
Thanking again for your support, best regards,
For the authors, Hervé Courtois

P.S.: I could not manage to remove the indication of a proceeding issue (Correlation function ...) in the above items. Please discard this.

p. 2
effect of a weak disorder -> effect of weak disorder
Fig. 1middle -> Fig. 1 middle

p. 3
caption Figure 1: Left -> Left:
At finite temperature T -> At finite temperature T (math mode)
caption of fig. 1, second to last line: RSs replaced by Rs
"asymptote" corrected in caption of fig. 1

p. 4
Atland -> Altland
through quantum wires [10], in a collaboration
-> through quantum wires [10] in a collaboration

p. 5
Blonder-Tinkham-Klapwijk -> Blonder-Tinkham-Klapwijk (BTK)
B. van Wees -> Bart van Wees
et al -> et al.
junction write [16,17]: -> junction can be written [16,17]
Line after Eq. (1): define the conductance GT
Eq. (1) diff -> \mathrm{diff}, remove dot after diff
the the tunnel -> the tunnel
R_diff: see above
low frequency current -> low-frequency current
voltages V -> voltages V (math mode)
temperatures T -> temperatures T (math mode)
Eq. (2): remove dot before I(V,T)
charge 2e, rather than e -> charge 2e rather than e

p. 7
Fluctuations corrections -> Fluctuation corrections

p. 8
caption Fig. 3 Δ is the superconducting ... -> δ is the level spacing and Δ is the BCS superconducting gap
term non-local term -> non-local term
itself in the oscillations -> itself in oscillations
Fluctuations effects -> Fluctuation effects
current as a function -> the current as a function
On the opposite -> On the other hand

p. 9
to heat conductivity -> to the heat conductivity
low temperature limit -> low-temperature limit
of surface -> of a surface

p. 10
to Berry phase -> to the Berry phase
Majority of works -> The majority of works
from physics point of view -> from a fundamental point of view
or Cooper-pairs -> or Cooper pairs
and influence -> and the influence

p. 12
photon assisted tunneling -> photon-assisted tunneling
of high-temperature -> of a high-temperature
This device is formed -> This device consists of
in precise transfer -> in the precise transfer
with less influence -> with a reduced influence
is the one where -> is obtained if
to address energetics -> to address the energetics

p. 13
the superconducting qubits emergent field within -> the emergent field of superconducting qubits in
Quantum-Electro Dynamics -> Quantum Electrodynamics
as Rydberg atom in high -> e.g., a Rydberg atom in a high
At our knowledge -> To our knowledge
this prediction was -> this was the first
to Cooper pair box -> to a Cooper-pair box
By current biasing -> By current-biasing
current biased -> current-biased
(ACPT) -> remove, is never used?
has been studied -> was studied

p. 14
an optimal control has been -> an optimal control scheme was
constituted by -> consisting of
has presented -> constitute
Didier PhD -> Didier's PhD
at al. -> et al.
(think about writing et al. in italics everywhere, \textit{et al.})
thermally activated behaviour -> thermally activated (TA) behaviour
phase diagram on -> phase diagram in
with various regimes -> in various regimes
showed that for a proper description of its dissipation -> showed that dissipation
Third to last line in pag. 14: "... proper description of its dissipation and level quantization ..." replaced by "... proper description of it, dissipation and level quantization ..."

p. 15
caption Fig. 5: oscillations frequency -> oscillation frequency
two level limit -> two-level limit

p. 16
junctions writes: -> junctions can be written as
power: -> power
scale plot of the I-V -> scale I−V plot (math mode)
calculated together with Sukumar Rajauria -> and Sukumar Rajauria calculated

p. 17
caption Fig. 6 where voltage -> where the voltage
against voltage -> against the voltage
Electron temperature -> The electron temperature
are supposed to -> are assumed to
phonons wavelength -> phonon wavelength

p. 18
hot-quasiparticles -> hot quasiparticles
in Ref. [85] was demonstrated -> in Ref. [85] it was demonstrated
as for example -> e.g.
as by using -> than by using
the 2000-2010 decade -> the decade 2000-2010
provided a theoretical support -> provided theoretical support

p. 19
caption Fig. 7 A schematic -> Schematic (3 times)
Self-capacitance -> The self-capacitance
in the current standard implementation -> as implementations of a current standard
By that time -> At that time

p. 20
by ratio -> by the ratio
and self-capacitance -> and the self-capacitance
to theoretical -> to the theoretical
bulding up -> building on

p. 21
cold atoms quantum -> cold-atom quantum
strongly correlated -> strongly-correlated

p. 22
caption Fig. 8 ratio of tunnel to interaction -> ratio γ of tunnel energy to interaction energy
contain extra terms -> exhibit extra terms
to the original Haldane's work -> to Haldane's original work
of density-density -> of the density-density
in connection to -> in connection with
in the 1D geometry -> in a 1D geometry

p. 23
apply a rotating -> create a rotating
onto the ring -> in the ring
as their higher-dimensional -> with their higher-dimensional
Rossini, [123] -> Rossini [123]
for exemple -> for example (or e.g.)
A weak link painted on -> A weak link created in
of such study -> of this study
for the experiments and theory -> for experiment and theory
in the experiments -> in experiments

p. 24 onwards, References
Typo corrected in the title of the paper [3], pag. 24
[7] 15 -> 3200
[9] Buttiker -> B\"uttiker
[12] 35 -> 1830
[16] 146 -> 6847
[17] title: 2 electrons -> two electrons
[20] 104 -> 4138
[28] volume number is 25, page number 721, last author D. Mailly is added
[30] doi corrected 10.1103/PhysRevB.46.9074
[51] M\"olmer -> M\o{}lmer
[76] D. Averin -> D.V. Averin
[114] splitted in two separate ones
[116] remove "6" after volume number 91
[119] abbreviate first names
[130] missing article number 4298
- add missing doi in 11, 66, 103, 104, 109, 110, 111, 114, 115, 119, 125, 128, 129, 130, 131,
- remove "and" in all author lists to make the bibliography consistent. Same for "et" in [53]. Put commas after each author name.
- add "0" as a first digit to the page numbers of 27, 36, 38, 42, 49, 61, 74, 77, 78, 90, 106, 107, 108, 112, 113, 117, 121, 123, 124, 127, 132, 133, 139