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