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REVIEW 3 major objections 6 minor 76 references

A graphene platform for nano scale coherent interaction of surface plasmons with resonant atomic ensembles

T0 review · 3 major / 6 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read A two-graphene-sheet platform can hold surface-plasmon pulses at fractional pulse areas, and the paper derives the modified area theorem behind the prediction.

desk verdict Honest extension of the area theorem to double-sheet graphene yields new fractional fixed points, but 'stable propagation' is not established—the authors' own Sec. IV.C caveat says so. read the letter →

arxiv 2507.12421 v1 pith:WOUOL254 submitted 2025-07-16 physics.optics physics.atom-phquant-ph

Ali A. Kamli , Sergey A. Moiseev This is my paper · ORCID
classification physics.opticsphysics.atom-phquant-ph
keywords graphenesurfaceplasmonsmodifiedareatheoremMaxwell-Blochequationsfractionalpulseresonantatomicensemblequantummemoryself-inducedtransparencynanoscalelight-matterinteraction
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper proposes a nanoscale platform in which an atomic ensemble sits between two graphene sheets and interacts coherently with graphene surface plasmons. The central result is a modified area theorem for these plasmon pulses, derived from the Maxwell-Bloch equations, whose stable fixed points occur at fractional values of $\pi$ rather than at the integer multiples required in free space. The authors find stable pulse areas of about $2.46\pi$ in the small-separation $\sinh$ coupling regime and $(2m+1)\pi/3$ for exponential coupling when $e^{-k_s L}=1/2$. If this holds, compact quantum memory cells only a few nanometers long could be integrated with other graphene-based quantum devices. The paper itself cautions that a stable pulse area may not guarantee a stable temporal pulse shape, since preserving the area can lengthen the pulse and increase relaxation.

What carries the argument

The central machinery is the modified area theorem for graphene surface plasmons, obtained by solving the Maxwell-Bloch equations for the plasmon envelope in the double-sheet waveguide. It reduces to the propagation equation $\left(\partial_x + \gamma_w/2v_g\right)\theta(x) = -(\alpha/2)F[\theta(x), k_s L]$, where the dimensionless function $F$ encodes the transverse coupling profile: $\sinh[k_s(z-L/2)]$, $\cosh[k_s(z-L/2)]$, or $e^{-k_s z}$ depending on dipole orientation and mode symmetry. Stable fixed points are zeros of $F$ with positive slope, and the fractional values of $\theta$ at those points are the paper's main prediction. Graphene conductivity and sheet separation enter through $k_s L$, the absorption coefficient $\alpha$, and the group velocity, so the pulse-area behavior is tunable by gating and geometry.

What would settle it

A transmission experiment on a graphene double-sheet sample with a nanoscale gap would settle the claim: launch pulses of varying input area and measure the output area and temporal profile over several absorption lengths. If the fractional fixed points are real, output areas should lock to the predicted $\Theta_2$ values, whereas growth of the pulse duration without area locking would falsify the propagation claim.

Watch

Extended reading notes

Core claim

On the paper's own terms, the discovery is that the interaction of graphene surface plasmons with an inhomogeneously broadened two-level atomic ensemble is governed by an area theorem with spatially inhomogeneous coupling, so stable propagation is no longer tied to integer multiples of $\pi$. Solving the Maxwell-Bloch equations for three coupling geometries ($\sinh$, $\cosh$, and exponential in the coordinate across the graphene gap) yields stable fixed points at fractional pulse areas, for example $\Theta_2 \simeq 2.46\pi$ for the $\sinh$ mode at small sheet separation and $\Theta_2 = (2m+1)\pi/3$ for exponential coupling with $e^{-k_s L}=1/2$. The fractional value reflects the continuous distribution of coupling strengths across the atomic sample: atoms near the sheets see a larger effective pulse area, while atoms in the middle see a smaller one. The authors also show that the double-sheet structure can implement a controlled reversible inhomogeneous broadening (CRIB) quantum memory whose cell size is estimated at $5$-$25$ nm, with the storage lifetime set by atomic coherence rather than by plasmon loss.

Load-bearing premise

The load-bearing premise is that a stable fixed point of the pulse-area equation means the pulse actually propagates stably in shape; the paper itself cautions (Section IV C) that a stable area can coexist with a growing pulse duration and eventual decay from relaxation.

Editorial extensions

If this is right

  • If the area theorem holds, graphene surface plasmon pulses can propagate over many absorption lengths with their area locked to a fractional value such as $\Theta_2 \simeq 2.46\pi$, in contrast to the free-space $2\pi$ soliton condition.
  • The predicted absorption coefficients are of order $1\ \mathrm{nm}^{-1}$, two to three orders of magnitude above graphene losses, making coherent interaction and quantum memory feasible on nanoscale lengths.
  • A CRIB-based quantum memory cell for surface plasmons would be only about $5$-$25$ nm long, with storage lifetime governed by the atomic ensemble rather than by plasmon decay.
  • For large sheet separations ($k_s L \ge 9$) the area equation has no stable fixed points, so stable fractional pulses and the associated memory operation require a tightly confined geometry.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If area-locking survives full pulse-shape dynamics, input pulses launched above the unstable threshold should converge to the fractional value after propagation, which could be tested by measuring transmitted pulse area versus input area.
  • The fractional fixed points are effectively a map of the transverse field profile; measuring them for different dipole orientations could serve as a nanoscale probe of the plasmon mode structure.
  • The same inhomogeneous-coupling mechanism should appear in other double-interface polariton waveguides, so the fractional-area phenomenon may be a general feature of guided polaritons rather than something specific to graphene.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The manuscript proposes a two-graphene-sheet platform in which resonant two-level atoms interact with confined graphene surface-plasmon modes, and it derives a modified pulse-area theorem for this setting. The authors quantize the SP modes, compute weak-field absorption coefficients for three different spatial coupling profiles (sinh, cosh, and exponential), and then solve area-evolution equations to identify fixed points at fractional values of π, including Θ2≈2.46π for the small-separation sinh mode and Θ2=8π/3+4nπ for the exponential mode with e^{-ksL}=1/2. They further propose using these dynamics for a nanoscale CRIB-type quantum memory. The paper's headline claim is that graphene SP pulses can propagate stably at fractional pulse areas, in contrast to the free-space integer-π McCall-Hahn result.

Significance. If the headline claim were fully established, the fractional-area fixed points would be an interesting new nonlinear propagation regime for graphene plasmonics, and the proposed nanoscale quantum-memory cell would be a useful conceptual contribution. The derivation is largely self-contained and analytical: the mode dispersion, field quantization, and area theorem follow from the stated model rather than from fits to external data. The paper also gives closed-form weak-field absorption coefficients and makes falsifiable predictions about which sheet separations and dipole orientations support stable area evolution. However, the current evidence supports only fixed points of the pulse-area ODE, not shape-stable pulse propagation, and the paper itself concedes this limitation. The reported critical values also rely on a printed formula that is inconsistent with the preceding derivation, and the Sec. V generalization contains an internal contradiction.

major comments (3)
  1. [Sec. IV C, Eqs. (45)-(48)] The printed function F1[y] in Eq. (47), F1[y]=(3 sin y - y cos y)/y², does not follow from Eq. (45). Equation (45) gives a function proportional to (sin y - y cos y)/y², whose zeros satisfy tan y = y, i.e., y≈1.43π and 2.46π, exactly the values Θ1 and Θ2 quoted in the text and in Fig. 6. The zeros of the printed numerator 3 sin y - y cos y instead satisfy tan y = y/3, which gives different roots near 1.29π and 2.38π. In addition, the small-ksL limit of Eq. (40) contains a factor 2 that is not reflected in Eq. (45); this factor does not change the roots but does affect the coefficient α1. The displayed equations should be corrected, and Fig. 6 and the quoted critical values should be tied to the actual expression used.
  2. [Sec. IV C and Abstract] The abstract claims stable propagation of isolated SP pulses at fractional pulse areas, but the paper's own caveat in Sec. IV C states that a stable value of the pulse area may not lead to a stable temporal shape, that the pulse duration will increase to preserve the area, and that this will increase relaxation and eventually cause decay. The derivation establishes fixed points of the area ODE (38)/(46) only; it does not solve the full Maxwell-Bloch system (36) for the pulse envelope, nor does it construct a shape-preserving solitary solution. A fixed point of the area equation is necessary but not sufficient for a propagating soliton-like pulse. To support the central claim, the authors should either present numerical solutions of Eq. (36) showing shape-stable propagation at the predicted fractional areas, or explicitly revise the abstract and conclusions to claim area stability rather than stable propagation of pulses.
  3. [Sec. V, Eqs. (50)-(54)] The generalization to e^{-ksL}=1/(2m) is internally inconsistent with the e^{-ksL}=1/2 case. The text states that for e^{-ksL}=1/2 the stable points are Θ2=2π+2π/3+4nπ=8π/3+4nπ, which is consistent with Eq. (54). It then states that for e^{-ksL}=1/(2m) one finds stable fractional values Θ2=(2m+1)π/3. For m=1 this gives Θ2=π, not 8π/3. The inconsistency is not a harmless typo: for m=2, the claimed value Θ2=5π/3 is not a zero of F3 in Eq. (51). The stable roots of sin((1+q)θ/2)sin((1-q)θ/2) with q=1/(2m) form a more complicated family that depends on m through the sign of the derivative at each root. Please provide the correct stability analysis for general m or remove the incorrect generalization.
minor comments (6)
  1. [Fig. 4 caption] The caption says L=2 nm, while the text just before Fig. 4 says L=5 nm; please make the value consistent.
  2. [Eq. (2)] In the middle-layer expression, the coefficient C term is written with (ˆx - ˆz iK||/k2)e^{ks(z-L)}, but the exponential and layer geometry suggest the polarization denominator should be k_s, not k_2.
  3. [Sec. V] The notation Θ2=2π+2π/3+4nπ is written with n=1,2,..., but the base value 8π/3 corresponds to n=0; please include n=0 or reindex.
  4. [Conclusion] The conclusion states that stable fractional-area SP pulses occur at 'arbitrary graphene sheet separations', which contradicts Sec. V and Fig. 9, where ksL=9 is reported to have no stable solutions. Please qualify the statement.
  5. [Throughout] The notation k_sL appears variously as 'ksL', 'k_sL', and 'ksL'; please standardize the typesetting of scaled separation and of the functions F1, F2, F3.
  6. [References] Several references contain 'and at al.' or 'et al' typos (e.g., Refs. [15], [18], [22], [23], [28]); a careful reference cleanup is needed.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity: the modified area theorem and fractional fixed points are derived from the model equations; self-citations are comparative, not load-bearing.

full rationale

The derivation chain is self-contained. The paper starts from the Maxwell-Bloch equations (36), derives the pulse-area equation (37) and the dimensionless form (38), then evaluates the coupling integrals for the sinh, cosh, and exponential dipole-orientation cases, leading to the area ODEs (46) and (50). The fractional stable area values, such as Theta2 ~ 2.46pi in Sec. IV.C and Theta2 = 8pi/3 for e^{-ksL}=1/2 in Sec. V, are roots of the derived functions F1 and F3, not quantities fitted to external data or to the claimed prediction. The dipole-orientation ansatz in Sec. IV.A.2 is an explicitly stated modeling input, not a fitted parameter renamed as a prediction. Self-citations to the authors' prior work, especially [51], are used for the single-interface limit and as pointers in the area-theorem derivation; the new finite-L results do not reduce to [51] by construction. The paper's own Sec. IV.C caveat that a stable pulse area 'may not lead to the appearance of graphene plasmon pulses with a stable temporal shape' and that duration increase 'will lead to increased relaxation and eventually to its decay' is a real limitation on the physical claim, but it is a correctness/validity concern, not a circularity: the area-theorem calculation is still derived from the model rather than being equivalent to its own inputs. The central derivation has independent content, so the circularity score is low.

Assumptions & free parameters 6 free parameters · 5 assumptions · 0 invented entities

The model is built from standard graphene conductivity, Maxwell boundary conditions, and the two-level Maxwell-Bloch equations. The numerical parameters are literature-based inputs, not free parameters fitted to the target result. The fractional pulse area values are derived from the equations, not imposed. The paper introduces no new physical entities beyond the proposed structural configuration (double graphene sheet with embedded atoms).

free parameters (6)
  • Graphene Fermi energy E_F = 1 eV
    Chosen for numerical illustrations in Figs. 3-5; not fitted to the fractional-area result. Affects k_s and absorption magnitudes.
  • Graphene scattering rate hbar/tau = 0.001 eV
    Standard parameter used to compute propagation losses; input from material literature.
  • Temperature T = 300 K (and 3 K in Fig. 3b)
    Sets the graphene conductivity via the Kubo formula; not adjusted to force results.
  • Atomic transition dipole d21 = 5e-32 C.m
    Typical of rare-earth ions; used for absorption coefficient estimates and quantum memory size. Not fitted to the central claim.
  • Inhomogeneous broadening profile value G(0) = 2e-8 s
    Typical for rare-earth doped crystals; affects absorption coefficient magnitudes.
  • Atomic density rho0 = 1e25 m^-3
    Typical for rare-earth doped crystals; affects absorption coefficients.
assumptions (5)
  • domain assumption Graphene SP modes are lossless in the frequency range below the Fermi energy, allowing a Hermitian mode expansion and neglect of Langevin noise.
    Sec. III: 'the quantization process outlined above is valid in the frequency range where losses are very low and can be ignored.' This underpins the Maxwell-Bloch equations and the area theorem.
  • domain assumption Only surface plasmon modes interact with the atomic ensemble; free-space modes are neglected.
    Sec. IV: cites ref [62] that atomic emission into SP modes is at least two orders of magnitude stronger than into free-space modes. If false, the area theorem for SP modes alone is incomplete.
  • domain assumption Pulse duration satisfies delta t_s << T2 and delta t_s >> lambda/c, and the slowly varying envelope approximation applies.
    Sec. IV: 'the graphene SP pulse duration is much shorter than the phase relaxation lifetime... but sufficiently long ... necessary condition for the derivation of the area theorem [61].'
  • domain assumption The inhomogeneous broadening function is symmetric, G(Delta/Deltain) = G(-Delta/Deltain).
    Used to derive Eq. (37); if the broadening is asymmetric, the area equation takes a different form.
  • standard math Atoms are well described as two-level systems with negligible relaxation during the pulse.
    Standard in area theorem derivations; the atomic coherence decay gamma is taken to be negligibly small compared to pulse duration.

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Cite this review

Pith. "Pith review of A graphene platform for nano scale coherent interaction of surface plasmons with resonant atomic ensembles." pith.science (2026). https://pith.science/paper/WOUOL254

@misc{pith2026250712421,
  author       = {Pith},
  title        = {Pith review of: A graphene platform for nano scale coherent interaction of surface plasmons with resonant atomic ensembles},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/WOUOL254}},
  note         = {Machine review of arXiv:2507.12421}
}
abstract

We propose a 2D graphene structure containing atomic ensemble as a platform for implementing nanoscale enhanced coherent interactions of plasmonic fields with resonant atomic systems. We determine the graphene surface plasmon modes, and the properties of its electromagnetic fields, and emphasize the role of graphene sheet separation on the interaction with atomic systems for various dipole orientations and positions between the graphene sheets. We analyze the conditions for implementation of coherent interaction of SP mode with resonant atomic ensembles. By solving the Maxwell-Bloch equations that govern the resonant interaction of surface plasmons with atoms, we derive the modified area theorem, which makes it possible to identify the most common nonlinear patterns in the behavior of plasmons under the studied conditions. We obtain analytical and numerical solutions of the area theorem, and find the possibility of stable propagation of isolated SP pulses of graphene surface plasmon modes at "fractional" pulse area values relative to $\pi$. We show that the coherent dynamics of SP fields can be realized in nanoscale design and we highlight the possibilities of using this scheme of coherent dynamics for implementing compact multimode nanoscale quantum memory and its integration with other quantum devices on the proposed platform.

Figures

Figures reproduced from arXiv: 2507.12421 by the authors.

Figure 1
Figure 1. FIG. 1: Schematic of 2D two graphene sheets system [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. FIG. 3: (a) Graphene plasmonics complex wave number [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. FIG. 4: Effective absorption coefficients in the weak [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figures from the paper (5 more)
Figure 5
Figure 5. Figure 5: FIG. 5: Effective absorption coefficients in the weak [PITH_FULL_IMAGE:figures/full_fig_p009_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6: The function [PITH_FULL_IMAGE:figures/full_fig_p010_6.png]
Figure 7
Figure 7. Figure 7: FIG. 7: The exact functions [PITH_FULL_IMAGE:figures/full_fig_p011_7.png]
Figure 9
Figure 9. Figure 9: FIG. 9: The exact function [PITH_FULL_IMAGE:figures/full_fig_p012_9.png]
Figure 8
Figure 8. Figure 8: FIG. 8: The exact functions [PITH_FULL_IMAGE:figures/full_fig_p012_8.png]

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Works this paper leans on

76 extracted references · 68 canonical work pages

  1. [51]

    S. Wang, L. Yang, M. Shen, W. Fu, Y. Xu, R. L. Cone, C. W. Thiel, and H. X. Tang, Er : linbo3 with high optical coherence enabling optical thickness control, Phys. Rev. Appl.18, 014069 (2022)

    work page 2022

  2. [1]

    Atomic dipole parallel or normal to inter- face. As seen from the TM structure functions for 0< z < L, a dipole oriented parallel to interface (along x-direction) couples to the x-components of the TM field, while a dipole normal to interface (along z-direction) cou- ples to the z-components of the field. So for asymmetric tanh solutions (ζ=−1), the coupl...

    work page

  3. [2]

    Zayats, I

    A. Zayats, I. Smolyaninov, and A. Maradudin, Nano- optics of surface plasmon polaritons, Physics Reports 408, 131 (2005)

    work page 2005

  4. [3]

    This solution indicates the appearance of stable 2πplasmon graphene pulses, which reproduces the McCall-Hahn solution for uniform electric field throughout the entire atomic ensemble, which requires the creation of bilayer graphene with the necessary high control of the very small distance between its sheets. In comparison with the sinh mode, the absorpti...

    work page

  5. [4]

    W. L. Barnes, A. Dereux, and T. W. Ebbesen, Surface plasmon subwavelength optics, Nature424, 824 (2003)

    2003

  6. [5]

    Kamli, S

    A. Kamli, S. A. Moiseev, and B. C. Sanders, Coherent control of low loss surface polaritons, Phys. Rev. Lett. 101, 263601 (2008)

    work page 2008

  7. [6]

    Maier,Plasmonics: Fundamentals and Applications (Springer, 2007)

    S. Maier,Plasmonics: Fundamentals and Applications (Springer, 2007)

    work page 2007

  8. [7]

    M. S. Tame, K. R. McEnery, S. K. ¨Ozdemir, J. Lee, S. M. Maier, and S. Kim, Quantum plasmonics, Nature Physics 9, 329 (2013)

    work page 2013

Show all 76 references
  1. [8]

    T¨ orm¨ a and W

    P. T¨ orm¨ a and W. L. Barnes, Strong coupling between surface plasmon polaritons and emitters: a review, Re- ports on Progress in Physics78, 013901 (2014)

    2014

  2. [9]

    S. A. Moiseev, A. A. Kamli, and B. C. Sanders, Low-loss nonlinear polaritonics, Phys. Rev. A81, 033839 (2010)

    2010

  3. [10]

    was studied, and the more recent work [8], which indicates the possibility of a strong interaction of atoms (molecules) with SP modes under conditions of inhomo- geneous broadening of the resonance line. To explore the transport of SP fields in space, it is more appropriate to...

  4. [11]

    Tan and G

    C. Tan and G. Huang, Superluminal surface polaritonic solitons at weak light level via coherent population oscil- lation, Phys. Rev. A89, 033860 (2014)

    2014

  5. [12]

    Asgarnezhad-Zorgabad, R

    S. Asgarnezhad-Zorgabad, R. Sadighi-Bonabi, and B. C. Sanders, Excitation and propagation of surface polari- tonic rogue waves and breathers, Phys. Rev. A98, 013825 (2018)

    2018

  6. [13]

    Gomez-Castano, A

    M. Gomez-Castano, A. Redondo-Cubero, L. Buisson, J. L. Pau, A. Mihi, S. Ravaine, R. A. L. Vallee, A. Nitzan, and M. Sukharev, Energy transfer and interference by collective electromagnetic coupling, Nano Letters19, 5790 (2019)

    2019

  7. [14]

    Z. Gu, Q. Liu, Y. Zhou, and C. Tan, Symmetric and anti- symmetric surface plasmon polariton solitons in a metal- dielectric-metal waveguide with incoherent pumping, The European Physical Journal D74, 78 (2020)

    2020

  8. [15]

    Y. Duan, S. Liu, and C. Tan, Electromagnetically in- duced grating of surface polaritons via coherent popula- tion oscillation, Photonics9, 10.3390/photonics9100697 (2022)

    2022 doi

  9. [16]

    Ozbay, Plasmonics: merging photonics and electronics at nanoscale dimensions, Science123, 189 (2006)

    A. Ozbay, Plasmonics: merging photonics and electronics at nanoscale dimensions, Science123, 189 (2006)

    2006

  10. [17]

    Gramotnev and S

    D. Gramotnev and S. Bozhevolnyi, Plasmonics be yond the diffraction limit, Nature Photonics4, 83 (2010)

    2010

  11. [18]

    A. K. Geim, Nobel lecture: Random walk to graphene, Rev. Mod. Phys.83, 851 (2011)

    2011

  12. [19]

    K. S. Novoselov, Nobel lecture: Graphene: Materials in the flatland, Rev. Mod. Phys.83, 837 (2011)

    2011

  13. [20]

    K. S. Novoselov and at al.,Two-dimensional gas of mass- less Dirac fermions in graphene, Nature (Nature, 2005) p. 197

    2005

  14. [21]

    L. A. Falkovsky and S. S. Pershoguba, Optical far- infrared properties of a graphene monolayer and multi- layer, Phys. Rev. B76, 153410 (2007)

    2007

  15. [22]

    P. A. D. Goncalves and N. M. R. Peres,Introduntion to graphene plasmonics(World Scientific, 2016)

    2016

  16. [23]

    F. H. L. Koppens and et al., Graphene plasmonics: A platform for strong light–matter interactions, Nano Let- ters11, 3370 (2011)

    2011

  17. [24]

    F. J. Abajo, Graphene plasmonics: Challenges and op- portunities, ACS Photonics1, 135 (2014)

    2014

  18. [25]

    Liu and et al., A review of graphene plasmons and its combination with metasurface, J

    C. Liu and et al., A review of graphene plasmons and its combination with metasurface, J. Korean Ceram. Soc. 54, 349 (2017)

    2017

  19. [26]

    Huang and et al., Graphene plasmonics: physics and potential applications, Nanophotonics6, 1191 (2017)

    S. Huang and et al., Graphene plasmonics: physics and potential applications, Nanophotonics6, 1191 (2017)

    2017

  20. [27]

    Ru and P

    E. Ru and P. Etchegoin,Principles of Surface-Enhanced Raman Spectroscopy and Related Plasmonic Effects(El- sevier Science, 2008)

    2008

  21. [28]

    G. Ni, A. McLeod, Z. Sun, L. Wang, L. Xiong, K. Post, S. Sunku, B.-Y. Jiang, J. Hone, C. R. Dean,et al., Fun- damental limits to graphene plasmonics, Nature557, 530 (2018)

    2018

  22. [29]

    P. A. Huidobro, A. Y. Nikitin, C. Gonz´ alez-Ballestero, L. Mart ´ ın-Moreno, and F. J. Garc ´ ıa-Vidal, Superradiance mediated by graphene surface plasmons, Phys. Rev. B 85, 155438 (2012)

    2012

  23. [30]

    A. Y. Nikitin, F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, Fields radiated by a nanoemitter in a graphene sheet, Phys. Rev. B84, 195446 (2011)

    2011

  24. [31]

    Thanopulos and et al, Strong light matter interaction of a quantum emitter near a graphene nanodisk, Mater

    I. Thanopulos and et al, Strong light matter interaction of a quantum emitter near a graphene nanodisk, Mater. Proc.9, 3390 (2022)

    2022

  25. [32]

    B. A. Ferreira, B. Amorim, A. J. Chaves, and N. M. R. Peres, Quantization of graphene plasmons, Phys. Rev. A 101, 033817 (2020)

    2020

  26. [33]

    A. N. Grigorenko, M. Polini, and K. S. Novoselov, Graphene plasmonics, Nature Photonics6, 749 (2012)

    2012

  27. [34]

    L. Cui, J. Wang, and M. Sun, Graphene plasmon for optoelectronics, Reviews in Physics6, 100054 (2021)

    2021

  28. [35]

    Allen and J

    L. Allen and J. Eberly,Optical Resonance and Two-level Atoms, Dover books on physics and chemistry (Dover,

  29. [36]

    M. O. Scully and M. S. Zubairy,Quantum Optics(Cam- bridge University Press, 1997)

    1997

  30. [37]

    A. I. Lvovsky, B. C. Sanders, and W. Tittel, Optical quantum memory, Nature Photonics3, 706 (2009)

    2009

  31. [38]

    Sangouard, C

    N. Sangouard, C. Simon, H. de Riedmatten, and N. Gisin, Quantum repeaters based on atomic ensembles and linear optics, Rev. Mod. Phys.83, 33 (2011)

    2011

  32. [39]

    S. A. Moiseev, M. M. Minnegaliev, K. I. Gerasimov, E. S. Moiseev, A. D. Deev, and Y. Y. Balega, Optical quan- tum memory in atomic ensembles: physical principles, experiments, and potential of application in a quantum 15 repeater, Phys. Usp.68, 431 (2025)

    2025

  33. [40]

    S. L. McCall and E. L. Hahn, Self-induced transparency, Physical Review183, 457 (1969)

    1969

  34. [41]

    Greiner, T

    C. Greiner, T. Wang, T. Loftus, and T. W. Mossberg, Instability and pulse area quantization in accelerated su- perradiant atom-cavity systems, Phys. Rev. Lett.87, 253602 (2001)

    2001

  35. [42]

    J. H. Eberly and V. V. Kozlov, Wave equation for dark coherence in three-level media, Phys. Rev. Lett.88, 243604 (2002)

    2002

  36. [43]

    Shchedrin, C

    G. Shchedrin, C. O’Brien, Y. Rostovtsev, and M. O. Scully, Analytic solution and pulse area theorem for three-level atoms, Phys. Rev. A92, 063815 (2015)

    2015

  37. [44]

    Guti´ errez-Cuevas and J

    R. Guti´ errez-Cuevas and J. H. Eberly, Vector-soliton storage and three-pulse-area theorem, Phys. Rev. A94, 013820 (2016)

    2016

  38. [45]

    R. M. Arkhipov, M. V. Arkhipov, I. Babushkin, and N. N. Rosanov, Self-induced transparency mode locking, and area theorem, Opt. Lett.41, 737 (2016)

    2016

  39. [46]

    Pakhomov, M

    A. Pakhomov, M. Arkhipov, N. Rosanov, and R. Arkhipov, Area theorem in a ring laser cavity, Phys. Rev. A108, 023506 (2023)

    2023

  40. [47]

    E. L. Hahn, N. S. Shiren, and S. L. McCall, Application of the area theorem to phonon echoes, Physics Letters A 37, 265 (1971)

    1971

  41. [48]

    Friedberg and S

    R. Friedberg and S. R. Hartmann, Superradiant damping and absorption, Physics Letters A37, 285 (1971)

    1971

  42. [49]

    Urmancheev, K

    R. Urmancheev, K. Gerasimov, M. Minnegaliev, T. Chaneli` ere, A. Louchet-Chauvet, and S. Moiseev, Two-pulse photon echo area theorem in an optically dense medium, Opt. Express27, 28983 (2019)

    2019

  43. [50]

    S. A. Moiseev, M. Sabooni, and R. V. Urmancheev, Pho- ton echoes in optically dense media, Phys. Rev. Res.2, 012026(R) (2020)

    2020

  44. [52]

    S. A. Moiseev, M. M. Minnegaliev, E. S. Moiseev, K. I. Gerasimov, A. V. Pavlov, T. A. Rupasov, N. N. Skryabin, A. A. Kalinkin, and S. P. Kulik, Pulse-area theorem in a single-mode waveguide and its application to photon echo and optical memory in tm 3+ : y3al5o12, Phys. Rev. A...

    2023

  45. [53]

    S. A. Moiseev, K. I. Gerasimov, M. M. Minnegaliev, E. S. Moiseev, A. D. Deev, and Y. Y. Balega, Echo protocols of an optical quantum memory, Frontiers of Physics20, 23301 (2025)

    2025

  46. [54]

    S. A. Moiseev and A. A. Kamli, Area theorem for surface plasmons interacting with resonant atoms, Phys. Rev. A 110, 033502 (2024)

    2024

  47. [55]

    Zhang,Surface Polaritons and Their Coupling with Emitters in Periodic Structures, Ph.D

    X. Zhang,Surface Polaritons and Their Coupling with Emitters in Periodic Structures, Ph.D. thesis, University of York (2014)

    2014

  48. [56]

    Cottam and D

    M. Cottam and D. Tilley,Introduction to Surface and Su- perlattice Excitations(Taylor and France’s Group, 2005)

    2005

  49. [57]

    A. M. Hatta, A. A. Kamli, and M. Babiker, Deexcitation of dipole emitters in finite ordered charge-sheet struc- tures, Phys. Rev. A89, 033816 (2014)

    2014

  50. [58]

    D. Teng, K. Wang, Q. Huan, Y. Zhao, and Y. Tang, High-performance transmission of surface plasmons in graphene-covered nanowire pairs with substrate, Nano- materials9, 1594 (2019)

    2019

  51. [59]

    Novotny and B

    L. Novotny and B. Hecht,Nano-Optics(Cambridge Uni- versity Press, 2012)

    2012

  52. [60]

    R.Loudon,The Quantum Theory of Light(Oxford Uni- versity Press, 2003)

    2003

  53. [61]

    Huttner and S

    B. Huttner and S. M. Barnett, Quantization of the elec- tromagnetic field in dielectrics, Phys. Rev. A46, 4306 (1992)

    1992

  54. [62]

    Matloob, R

    R. Matloob, R. Loudon, S. M. Barnett, and J. Jef- fers, Electromagnetic field quantization in absorbing di- electrics, Phys. Rev. A52, 4823 (1995)

    1995

  55. [63]

    H. T. Dung, L. Kn¨ oll, and D.-G. Welsch, Three- dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics, Phys. Rev. A57, 3931 (1998)

    1998

  56. [64]

    Hughes, Breakdown of the area theorem: Carrier-wave rabi flopping of femtosecond optical pulses, Phys

    S. Hughes, Breakdown of the area theorem: Carrier-wave rabi flopping of femtosecond optical pulses, Phys. Rev. Lett.81, 3363 (1998)

    1998

  57. [65]

    J. J. Choquette, K.-P. Marzlin, and B. C. Sanders, Super- radiance, subradiance, and suppressed superradiance of dipoles near a metal interface, Phys. Rev. A82, 023827 (2010)

    2010

  58. [66]

    Goldner, A

    P. Goldner, A. Ferrier, and O. Guillot-No¨el, Chapter 267 - rare earth-doped crystals for quantum information pro- cessing (Elsevier, 2015) pp. 1 – 78

    2015

  59. [67]

    S. A. Moiseev, K. I. Gerasimov, M. M. Minnegaliev, and E. S. Moiseev, Optical quantum memory on macroscopic coherence, Phys. Rev. Lett.134, 070803 (2025)

    2025

  60. [68]

    Kraus, W

    B. Kraus, W. Tittel, N. Gisin, M. Nilsson, S. Kr¨ oll, and J. I. Cirac, Quantum memory for nonstationary light fields based on controlled reversible inhomoge- neous broadening, Physical Review A73, 020302 (2006), arXiv:0502184 [quant-ph]

    2006

  61. [69]

    E. S. Moiseev and S. A. Moiseev, Scalable time reversal of Raman echo quantum memory and quantum wave- form conversion of light pulse, New Journal of Physics 15, 105005 (2013)

    2013

  62. [70]

    Hetet, J

    G. Hetet, J. Longdell, A. Alexander, P. K. Lam, and M. Sellars, Electro-optic quantum memory for light us- ing two-level atoms, Physical review letters100, 023601 (2008)

    2008

  63. [71]

    Moiseev and N

    S. Moiseev and N. Arslanov, Efficiency and fidelity of photon-echo quantum memory in an atomic system with longitudinal inhomogeneous broadening, Physical Re- view A—Atomic, Molecular, and Optical Physics78, 023803 (2008)

    2008

  64. [72]

    Chaneli` ere, G

    T. Chaneli` ere, G. H´ etet, and N. Sangouard, Quan- tum Optical Memory Protocols in Atomic Ensembles, inAdvances In Atomic, Molecular, and Optical Physics, Vol. 67, edited by E. Arimondo, L. F. DiMauro, and S. F. Yelin (Academic Press, 2018) pp. 77–150, arXiv:1801.10023

    2018 arXiv

  65. [73]

    A. M. J. Zwerver, T. Kr¨ ahenmann, T. F. Watson, and et al, Qubits made by advanced semiconductor manufac- turing, Nature Electronics5, 184–190 (2022)

    2022

  66. [74]

    Pezzagna and J

    S. Pezzagna and J. Meijer, Quantum computer based on color centers in diamond, Applied Physics Reviews 8(2021)

    2021

  67. [75]

    Huang, D

    H.-L. Huang, D. Wu, D. Fan, and X. Zhu, Superconduct- ing quantum computing: a review, Science China Infor- mation Sciences63, 10.1007/s11432-020-2881-9 (2020)

    2020 doi

  68. [76]

    Kinos, D

    A. Kinos, D. Hunger, R. Kolesov, and et al., Roadmap for rare-earth quantum computing (2021), arXiv:2103.15743 [quant-ph]

    2021 arXiv

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