Pith. sign in

REVIEW 4 major objections 5 minor 57 references

Resonant excitations via low frequency pumping in driven magnon systems

T0 review · 4 major / 5 minor · reviewed 2026-08-01 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read Parametric resonances at nω_D=2ω_k mean a drive below the magnon energy can still excite magnons, with thresholds that soften as α^{1/n}.

desk verdict Solid n=1 result but dimensional inconsistencies in the n=2/n=3 threshold formulas undermine the central scaling claim as printed. read the letter →

arxiv 2607.18073 v1 pith:AUMZNFIQ submitted 2026-07-20 cond-mat.mes-hall cond-mat.othercond-mat.quant-gas

Jan Mathis Giesen , Alexandre Abbass Hamadeh , Imke Schneider , Philipp Pirro , Sebastian Eggert This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.othercond-mat.quant-gas
keywords parametricresonancemagnonsFloquettheoryspinwavesLandau-Lifshitz-GilbertYIGthinfilmsthresholdamplitudepumping
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 asks whether magnons in a thin magnetic film can be excited by a microwave drive whose frequency is lower than the magnon's own energy. The authors show that it can: parametric resonances appear whenever n times the drive frequency equals twice the magnon frequency, for n=1,2,3 and beyond. Using Floquet degenerate perturbation theory on the linearized Landau-Lifshitz-Gilbert equation, they derive analytic formulas for the instability regions and for the threshold drive amplitude, which follows a power law in the Gilbert damping that softens as n increases. They confirm the predictions numerically and with micromagnetic simulations at the n=3 resonance, mapping the instability tongues and the off-resonant Floquet replicas. The practical payoff would be the ability to create magnons at a chosen wavenumber with a drive frequency below the magnon band, where ordinary linear excitation is suppressed.

What carries the argument

The central object is Floquet degenerate perturbation theory applied to the linearized Landau-Lifshitz-Gilbert equation. The driven spin system is expanded in Floquet replicas |σ,m⟩, and degeneracies between replicas at nω_D=2ω_k define the resonances. The resulting two-by-two effective quasi-energy matrix yields instability when the imaginary part of the quasi-energy is positive; exceptional points, where real and imaginary parts both degenerate, separate stable from unstable regions. For strong driving, a gauge transformation re-expresses the coupling through Bessel functions J_n(2h_1/ω_D), predicting that resonance widths oscillate and collapse at Bessel zeros.

What would settle it

A room-temperature YIG film experiment measuring the n=3 threshold amplitude for films with known damping α, from roughly 0.0002 to 0.05, would test the law h_th∝α^{1/3}; if the measured exponent departs clearly from 1/n, or if no instability appears at ω_D=2ω_k/3 below threshold, the central claim is falsified. Observing that resonance positions shift with damping would also contradict the predicted robustness.

Watch

Extended reading notes

Core claim

The central claim is that the parametric resonance condition nω_D=2ω_k holds for all n in a driven thin-film ferromagnet, even when the drive frequency ω_D lies below the magnon energy ω_k. The novel quantitative results are the closed-form threshold amplitudes: h_th,min=2αω_k Ā_k/B_k for n=1, roughly ω_k√(2αω_k/B_k) for n=2, and ω_k(2αĀ_k/(B_k√c_k))^{1/3} for n=3, together with the general scaling h_th,min∝α^{1/n}. These thresholds define the boundary of the instability region in drive-amplitude–frequency space, where the imaginary part of the Floquet quasi-energy turns positive. The paper also shows that damping changes the size of the instability regions but not their positions, and that

Load-bearing premise

The threshold formulas assume the linear spin-wave approximation and a constant Gilbert damping hold up to the moment the instability starts; the paper itself notes that at resonance the linear description quickly breaks down because the magnon number grows exponentially.

Editorial extensions

If this is right

  • At a drive frequency ω_D=2ω_k/3, the n=3 resonance permits magnon creation with an onset around 200 Oe for YIG, so excitations can be created below the magnon energy.
  • Threshold amplitudes for higher-order resonances scale as α^{1/n}, so low-damping materials make high-order resonances accessible at modest field amplitudes.
  • Damping shifts the size of the instability regions but not their positions, so the resonance condition nω_D=2ω_k is robust against dissipation.
  • At large driving amplitudes the resonance width is controlled by Bessel functions and can collapse at special amplitude-frequency combinations, while the dispersion itself is renormalized by the drive.
  • Off-resonant Floquet replicas appear at intervals of the driving frequency in the magnon spectrum, providing a direct signature of the drive.

Reading between the lines

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

  • An extension the authors do not spell out: if the α^{1/n} law holds in experiment, a single low-frequency microwave source could address different wavenumbers by tuning amplitude, since higher-order thresholds rise more slowly with damping than the n=1 threshold does.
  • The linear-theory thresholds are lower than the micromagnetic thresholds, suggesting that quantitative predictions for real YIG films will need a renormalized effective damping or nonlinear corrections; the qualitative resonance map, however, should persist.
  • The Bessel-function collapse of resonances at high drive amplitudes implies a form of dynamical decoupling at selected wavenumbers, which could be used to selectively suppress excitation of one wavenumber while still pumping others.
  • The Floquet treatment is transferable to other thin-film magnets and to acoustic or strain-driven parametric pumping, where the effective coupling takes the same mathematical form.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

4 major / 5 minor

Summary. The paper studies parametric magnon excitations in thin-film YIG driven by a microwave field, with emphasis on driving frequencies below the magnon energy. Starting from a spin Hamiltonian with exchange and dipole interactions, the authors use the Holstein-Primakoff transformation, the linear spin-wave approximation, and the uniform-mode approximation to obtain a time-periodic quadratic magnon Hamiltonian. They then set up the linearized Landau-Lifshitz-Gilbert equation and analyze its Floquet quasi-energies. Degeneracies at nωD = 2ωk are identified as parametric resonances, and degenerate Floquet perturbation theory is used to derive threshold amplitudes for n = 1,2,3, culminating in the prediction h_th,min ∝ α^{1/n}. A gauge-transformation argument for strong driving predicts that the instability regions are modulated by Bessel functions J_n(2h1/ωD) and vanish at the zeros of these functions. The analytic instability thresholds are compared with the numerical Floquet solution of the same linearized model, and the n = 3 case is additionally compared with MuMax3 micromagnetic simulations, which show Floquet replicas and resonant magnon growth at drive amplitudes above threshold.

Significance. The paper addresses a topical and technically useful problem: low-frequency parametric pumping of magnons below the magnon band edge. If the analytic predictions are correct, the clean power law h_th,min ∝ α^{1/n} and the Bessel-function structure at strong drive are falsifiable predictions that could guide targeted magnon excitation experiments. The authors are to be credited for deriving the thresholds rather than fitting them, for checking the n = 1 and n = 2/3 thresholds against the exact numerical Floquet solution of the same linearized equation, and for including an independent micromagnetic simulation for the n = 3 resonance. The n = 1 expression is dimensionally sound and is in good agreement with numerics. However, the n = 2 and n = 3 analytic results are stated through final coefficients without derivation, and as printed they contain dimensional inconsistencies; the central α^{1/n} scaling therefore is not yet fully supported. The manuscript has the potential to be a valuable contribution, but the load-bearing n = 2 and n = 3 derivations need to be corrected and supplied.

major comments (4)
  1. [Theory, Eqs. (17)–(18)] The n = 2 quasi-energy formula is dimensionally inconsistent as written. Since h1, Bk, ωk, Ak, and Δω2 all have energy/frequency units, c0 = −Bk^2/(3ωk^2) is dimensionless, so c0 h1^2 has units of frequency^2 and cannot be subtracted from Δω2 inside the first square in Eq. (17). Likewise, c1 in Eq. (18) has units of 1/ω^2 but c0^2 is dimensionless, so the denominator c1 − c0^2 mixes incompatible units. If this is a typographical omission of a power of ω in c0, it must be fixed explicitly; as printed, Eq. (18) and the n = 2 threshold hth,min ∝ α^{1/2} are not reproducible.
  2. [Theory, Eqs. (20)–(22)] The n = 3 result has the same class of problem. The second-order quasi-energy correction in Eq. (21), Δϵ^(2) ≈ −i h1^2 9Bk/(32ωk^3), is dimensionless (h1^2 Bk/ω^3) rather than an energy/frequency, which is what Eq. (20) requires. Moreover, Δϵ^(2) and c̃1 are only stated as final expressions; no derivation is provided. Since Eq. (22) and the α^{1/3} law rest on these expressions, the central multi-order scaling claim is unsupported until either the expressions are corrected (e.g., an omitted power of ω) and the second/third-order perturbation calculation is included, or the final formulas are otherwise verified.
  3. [Strong-drive analysis, before Eq. (25)] The transition to the strong-driving treatment is internally inconsistent as written. The paragraph begins with 'We now consider larger driving h1' and then states 'Progress can be made for ωD/h1 ≫ 1'. That inequality is the opposite of the large-h1 regime and is violated for the large amplitudes shown in Fig. 4. If the actual small parameter is Bk J_n(2h1/ωD)/ωD, this should be stated and justified; otherwise the Bessel-function prediction for the disappearance of resonances at high drive, Eqs. (28)–(30), is not properly grounded.
  4. [Appendix B / Simulation section] The authors explicitly acknowledge in Appendix B that the linearized description 'quickly breaks down' at resonance. This is acceptable for linear-instability threshold calculations, but it should be made clearer in the main text that the MuMax3 comparison is only a qualitative confirmation: the simulation thresholds are higher than the analytic ones, and the analytic formulas therefore should not be presented as quantitatively predictive for the full nonlinear system without stating this limitation. The sentence in the simulations section already hints at this, but it deserves to be part of the abstract-level claims.
minor comments (5)
  1. [Abstract] Typo: 'exciatations' should be 'excitations'.
  2. [Introduction and Abstract] 'complimented by micromagnetic simulations' should be 'complemented by micromagnetic simulations'.
  3. [Fig. 2 caption] The caption refers to 'the analytical predictions for the thresholds in Eqs. (16), (18) and (23)'; Eq. (23) is a width formula, not a threshold expression. The threshold for n = 3 is given in Eq. (22). This should be corrected.
  4. [Fig. 1 caption] The caption says the dashed curve is the 'numerical solution of Eq. (8)', but Eq. (8) is a differential equation; presumably the numerical Floquet solution of Eq. (13) is meant. Please clarify.
  5. [Fig. 4 caption] Typo: 'and and film thickness' should be 'and film thickness'.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: analytic threshold power laws are derived by Floquet degenerate perturbation theory rather than fitted, and the MuMax3 simulations provide an independent external benchmark.

full rationale

The derivation chain is self-contained. Inputs such as S, J, a, d, h0, h1, and alpha are taken from previous YIG characterizations or chosen operating points; none are fitted to the predicted thresholds. The central resonance condition n*omega_D = 2*omega_k (Eq. 14) is standard, and the quasi-energy expressions in Eqs. (15)-(23) follow from degenerate perturbation theory in Floquet space applied to Eq. (13). The predicted scaling h_th,min proportional to alpha^(1/n) (Eq. 24) is a direct consequence of the nth-order degeneracy lifting requiring h1^n, not a fit to numerical data. The numerical solution of Eq. (8) is a consistency check of the perturbative approximation, not a circular inversion, and the MuMax3 solution of the full LLG equation is an independent benchmark using parameter-matched material inputs. Self-citations in the paper are background references (Floquet methods, prior related magnon work) and do not carry the load of the central claim. The acknowledged linearization breakdown at resonance in Appendix B, and the dimensional inconsistencies in Eqs. (17) and (21) noted by the skeptic, are correctness and validity concerns rather than circular reductions: no target threshold is assumed as an input. No step meets the evidentiary bar for circularity, so no circular steps are reported.

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

The central claim rests on the linear spin-wave and uniform-mode treatment of a dipole-exchange YIG model, on a phenomenological constant Gilbert damping, and on Floquet perturbation theory in h1/ωD. No new entities are introduced and no parameters are fitted to data. The most fragile ingredient is the linearization, which the authors themselves note breaks down inside the instability regions.

assumptions (6)
  • domain assumption Holstein-Primakoff transformation truncated at leading order in 1/S (linear spin-wave approximation)
    Used to convert spin Hamiltonian (1) into quadratic boson Hamiltonian (3); neglects magnon-magnon interactions. Appendix B states the approximation is valid only for small magnon numbers and breaks down near resonance.
  • domain assumption Uniform-mode approximation: only the kx=0 mode in the film thickness direction is retained
    Used to derive explicit Ak, Bk in Eqs. (4)-(5) from the full dipole-dipole tensor; neglects thickness-profile dynamics.
  • domain assumption Gilbert damping is added phenomenologically as a constant α in the linearized LLG equation (8)
    α is taken from literature (α=0.0002 for YIG); the linearized damping form is assumed valid for small deviations.
  • domain assumption Weak-driving condition h1/ωD ≪ 1 for the degenerate perturbation theory in Floquet space
    Basis for the n=1,2,3 threshold formulas; the paper explicitly treats h1/ωD as a small parameter before Eq. (14).
  • standard math The gauge transformation Q(t)=exp[-i(h1/ωD)sin(ωDt)(ak†ak + a-k†a-k)] is exact, and the subsequent perturbative treatment of the transformed off-diagonal terms is justified in the stated regime
    Used to derive Bessel-function instability boundaries (Eq. 30); exact transformation, but its perturbative treatment is not fully justified in the stated regime.
  • domain assumption YIG material parameters (S=14.2, J/kB=2.74K, a=12.376 Å) and dipole-exchange dispersion are taken from prior literature [45]
    Inputs for Ak, Bk; the paper does not derive these from first principles.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Resonant excitations via low frequency pumping in driven magnon systems." pith.science (2026). https://pith.science/paper/AUMZNFIQ

@misc{pith2026260718073,
  author       = {Pith},
  title        = {Pith review of: Resonant excitations via low frequency pumping in driven magnon systems},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/AUMZNFIQ}},
  note         = {Machine review of arXiv:2607.18073}
}
read the original abstract

We analyse resonant excitations of ferromagnetic magnons via microwave pumping using Floquet theory. Special focus is put on driving frequencies that are below the corresponding magnon energy, which can be excited in large parameter regions via parametric resonances. We develop a theoretical framework that analytically predicts the regions of resonances and resonance thresholds in thin films of ferro- and ferri-magnetic materials like YIG as a function of damping, amplitude and frequency. Resonance regions are separated by exceptional points of the quasi-energies and the results are compared with micromagnetic simulations. The corresponding threshold amplitudes can be estimated from a characteristic powerlaw with damping, leading to the possibility of targeted exciatations at selected wavenumbers using low frequency drive.

Figures

Figures reproduced from arXiv: 2607.18073 by the authors.

Figure 2
Figure 2. FIG. 2. Stability chart for excitations at [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. The behavior of the minimal threshold for the mode [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. FIG. 4. Stability regions for [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figures from the paper (1 more)
Figure 5
Figure 5. Figure 5: FIG. 5. Colormap of the simulated magnon spectrum of YIG under periodic drive at the [PITH_FULL_IMAGE:figures/full_fig_p006_5.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

57 extracted references · 2 linked inside Pith

  1. [1]

    Chitra and O

    R. Chitra and O. Zilberberg, Dynamical many-body phases of the parametrically driven, dissipative dicke model, Phys. Rev. A92, 023815 (2015)

    2015

  2. [2]

    T. L. Heugel, M. Biondi, O. Zilberberg, and R. Chi- tra, Quantum transducer using a parametric driven- dissipative phase transition, Phys. Rev. Lett.123, 173601 (2019)

    2019

  3. [3]

    Lellouch, M

    S. Lellouch, M. Bukov, E. Demler, and N. Goldman, Parametric instability rates in periodically driven band systems, Phys. Rev. X7, 021015 (2017)

    2017

  4. [4]

    Bukov, S

    M. Bukov, S. Gopalakrishnan, M. Knap, and E. Dem- ler, Prethermal floquet steady states and instabilities in the periodically driven, weakly interacting bose-hubbard model, Phys. Rev. Lett.115, 205301 (2015)

    2015

  5. [5]

    Geilen, R

    M. Geilen, R. Verba, A. Hamadeh, A. Nicoloiu, D. Nar- ducci, A. Dinescu, M. Ender, M. Mohseni, F. Ciubo- taru, M. Weiler, A. M¨ uller, B. Hillebrands, C. Adelmann, and P. Pirro, Parametric excitation and instabilities of spin waves driven by surface acoustic waves, Advanced Physics Research4, 2400086 (2025)

    2025

  6. [6]

    Peano, M

    V. Peano, M. Houde, F. Marquardt, and A. A. Clerk, Topological quantum fluctuations and traveling wave am- plifiers, Phys. Rev. X6, 041026 (2016)

    2016

  7. [7]

    Macklin, K

    C. Macklin, K. O’Brien, D. Hover, M. E. Schwartz, V. Bolkhovsky, X. Zhang, W. D. Oliver, and I. Siddiqi, A near–quantum-limited josephson traveling-wave para- metric amplifier, Science350, 307 (2015)

    2015

  8. [8]

    D. Malz, J. Knolle, and A. Nunnenkamp, Topological magnon amplification, Nature Communications10, 3937 (2019)

    2019

Show all 57 references
  1. [9]

    Br¨ acher, P

    T. Br¨ acher, P. Pirro, and B. Hillebrands, Parallel pump- ing for magnon spintronics: Amplification and manipula- tion of magnon spin currents on the micron-scale, Physics Reports699, 1 (2017)

    2017

  2. [10]

    Mohseni, A

    M. Mohseni, A. A. Hamadeh, M. Geilen, and P. Pirro, Amplification and frequency conversion of spin waves us- ing acoustic waves, IEEE Transactions on Nanotechnol- ogy22, 806 (2023)

    2023

  3. [11]

    Lentfert, E

    A. Lentfert, E. Spindler, B. Heinz, M. Weiler, and P. Pirro, Phase-dependent parametric amplification of propagating spin waves in yig nanostructures enabled by local inhomogeneities, arXiv preprint 2606.02139 (2026)

    2026 arXiv

  4. [12]

    J. T. Reilly, S. B. J¨ ager, J. D. Wilson, J. Cooper, S. Eg- gert, and M. J. Holland, Speeding up squeezing with a pe- riodically driven dicke model, Phys. Rev. Res.6, 033090 (2024)

    2024

  5. [13]

    Szorkovszky, A

    A. Szorkovszky, A. C. Doherty, G. I. Harris, and W. P. Bowen, Mechanical squeezing via parametric amplifi- cation and weak measurement, Phys. Rev. Lett.107, 213603 (2011)

    2011

  6. [14]

    S. O. Demokritov, V. E. Demidov, O. Dzyapko, G. A. Melkov, A. A. Serga, B. Hillebrands, and A. N. Slavin, Bose-einstein condensation of quasi-equilibrium magnons at room temperature under pumping, Nature443, 430 (2006)

    2006

  7. [15]

    M. R. Schweizer, F. K¨ uhn, V. S. L’vov, A. Pomyalov, G. von Freymann, B. Hillebrands, and A. A. Serga, Local temperature control of magnon frequency and direction of supercurrents in a magnon bose–einstein condensate, Applied Physics Letters124, 092402 (2024)

    2024

  8. [16]

    Dzyapko, V

    O. Dzyapko, V. E. Demidov, S. O. Demokritov, G. A. Melkov, and A. N. Slavin, Direct observation of bose–einstein condensation in a parametrically driven gas of magnons, New Journal of Physics9, 64 (2007)

    2007

  9. [17]

    V. E. Demidov, O. Dzyapko, S. O. Demokritov, G. A. Melkov, and A. N. Slavin, Thermalization of a paramet- rically driven magnon gas leading to bose-einstein con- densation, Phys. Rev. Lett.99, 037205 (2007)

    2007

  10. [18]

    S. B. J¨ ager, J. M. Giesen, I. Schneider, and S. Eggert, Dissipative dicke time crystals: An atom’s point of view, Phys. Rev. A110, L010202 (2024)

    2024

  11. [19]

    A. J. E. Kreil, H. Y. Musiienko-Shmarova, S. Eggert, A. A. Serga, B. Hillebrands, D. A. Bozhko, A. Pomyalov, and V. S. L’vov, Tunable space-time crystal in room- 7 temperature magnetodielectrics, Phys. Rev. B100, 020406 (2019)

    2019

  12. [20]

    Fazzini, P

    S. Fazzini, P. Chudzinski, C. Dauer, I. Schneider, and S. Eggert, Nonequilibrium floquet steady states of time- periodic driven luttinger liquids, Phys. Rev. Lett.126, 243401 (2021)

    2021

  13. [21]

    Yi-Thomas and J

    S. Yi-Thomas and J. D. Sau, Theory for dissipative time crystals in coupled parametric oscillators, Phys. Rev. Lett.133, 266601 (2024)

    2024

  14. [22]

    F. R. Morgenthaler, Survey of ferromagnetic resonance in small ferrimagnetic ellipsoids, Journal of Applied Physics 31, S95 (1960)

    1960

  15. [23]

    Suhl, The theory of ferromagnetic resonance at high signal powers, Journal of Physics and Chemistry of Solids 1, 209 (1957)

    H. Suhl, The theory of ferromagnetic resonance at high signal powers, Journal of Physics and Chemistry of Solids 1, 209 (1957)

    1957

  16. [24]

    Schl¨ omann, J

    E. Schl¨ omann, J. J. Green, and U. Milano, Recent devel- opments in ferromagnetic resonance at high power levels, Journal of Applied Physics31, S386 (1960)

    1960

  17. [25]

    V. S. L’vov,Wave turbulence under parametric excita- tion: applications to magnets(Springer Science & Busi- ness Media, 2012)

    2012

  18. [26]

    Rezende,Fundamentals of Magnonics(2020)

    S. Rezende,Fundamentals of Magnonics(2020)

    2020

  19. [27]

    V. L. Safonov, M. E. McConney, and M. R. Page, Parallel pumping of spin waves in a ferromagnet revisited, Jour- nal of Magnetism and Magnetic Materials490, 165486 (2019)

    2019

  20. [28]

    H. G. Bauer, P. Majchrak, T. Kachel, C. H. Back, and G. Woltersdorf, Nonlinear spin-wave excitations at low magnetic bias fields, Nature Communications6, 8274 (2015)

    2015

  21. [29]

    Floquet, Sur les ´ equations diff´ erentielles lin´ eaires ` a coefficients p´ eriodiques, Annales scientifiques de l’´Ecole Normale Sup´ erieure2e s´ erie, 12, 47 (1883)

    G. Floquet, Sur les ´ equations diff´ erentielles lin´ eaires ` a coefficients p´ eriodiques, Annales scientifiques de l’´Ecole Normale Sup´ erieure2e s´ erie, 12, 47 (1883)

  22. [30]

    S. A. Reyes, D. Thuberg, D. P´ erez, C. Dauer, and S. Eg- gert, Transport through an ac-driven impurity: Fano in- terference and bound states in the continuum, New Jour- nal of Physics19, 043029 (2017)

    2017

  23. [31]

    Dauer, A

    C. Dauer, A. Pelster, and S. Eggert, Understanding flo- quet resonances in ultracold quantum gas scattering, Phys. Rev. Lett.135, 033402 (2025)

    2025

  24. [32]

    J. M. Giesen, D. Weber, and S. Eggert, Tunneling reso- nances through periodically driven quantum dots, arXiv preprint 2509.07539 (2025)

    2025 arXiv

  25. [33]

    Heins, L

    C. Heins, L. K¨ orber, J.-V. Kim, T. Devolder, J. H. Mentink, A. K´ akay, J. Fassbender, K. Schultheiss, and H. Schultheiss, Self-induced floquet magnons in magnetic vortices, Science391, 190 (2026)

    2026

  26. [34]

    Holthaus, Floquet engineering with quasienergy bands of periodically driven optical lattices, Journal of Physics B: Atomic, Molecular and Optical Physics49, 013001 (2015)

    M. Holthaus, Floquet engineering with quasienergy bands of periodically driven optical lattices, Journal of Physics B: Atomic, Molecular and Optical Physics49, 013001 (2015)

    2015

  27. [35]

    Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev

    A. Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev. Mod. Phys.89, 011004 (2017)

    2017

  28. [36]

    Bukov, L

    M. Bukov, L. D’Alessio, and A. Polkovnikov, Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to floquet engineering, Ad- vances in Physics64, 139 (2015)

    2015

  29. [37]

    Goldman and J

    N. Goldman and J. Dalibard, Periodically driven quan- tum systems: Effective hamiltonians and engineered gauge fields, Phys. Rev. X4, 031027 (2014)

    2014

  30. [38]

    L. D. Landau and E. M. Lifshitz, On the theory of the dis- persion of magnetic permeability in ferromagnetic bodies (1935)

    1935

  31. [39]

    Gilbert, A phenomenological theory of damping in fer- romagnetic materials, IEEE Transactions on Magnetics 40, 3443 (2004)

    T. Gilbert, A phenomenological theory of damping in fer- romagnetic materials, IEEE Transactions on Magnetics 40, 3443 (2004)

    2004

  32. [40]

    Cherepanov, I

    V. Cherepanov, I. Kolokolov, and V. L’vov, The saga of yig: Spectra, thermodynamics, interaction and relax- ation of magnons in a complex magnet, Physics Reports 229, 81 (1993)

    1993

  33. [41]

    V. V. Kruglyak, S. O. Demokritov, and D. Grundler, Magnonics, Journal of Physics D: Applied Physics43, 264001 (2010)

    2010

  34. [42]

    A. A. Serga, A. V. Chumak, and B. Hillebrands, Yig magnonics, Journal of Physics D: Applied Physics43, 264002 (2010)

    2010

  35. [43]

    M. A. Gilleo and S. Geller, Magnetic and crystallo- graphic properties of substituted yttrium-iron garnet, 3y2o3 ·xm 2o3 ·(5−x)fe 2o3, Phys. Rev.110, 73 (1958)

    1958

  36. [44]

    I. S. Tupitsyn, P. C. E. Stamp, and A. L. Burin, Stability of bose-einstein condensates of hot magnons in yttrium iron garnet films, Phys. Rev. Lett.100, 257202 (2008)

    2008

  37. [45]

    Kreisel, F

    A. Kreisel, F. Sauli, L. Bartosch, and P. Kopietz, Mi- croscopic spin-wave theory for yttrium-iron garnet films, The European Physical Journal B71, 59 (2009)

    2009

  38. [46]

    Holstein and H

    T. Holstein and H. Primakoff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev.58, 1098 (1940)

    1940

  39. [47]

    Hauser, T

    C. Hauser, T. Richter, N. Homonnay, C. Eisenschmidt, M. Qaid, H. Deniz, D. Hesse, M. Sawicki, S. G. Ebbing- haus, and G. Schmidt, Yttrium iron garnet thin films with very low damping obtained by recrystallization of amorphous material, Scientific Reports6, 20827 (2016)

    2016

  40. [48]

    Mohseni, R

    M. Mohseni, R. Verba, T. Br¨ acher, Q. Wang, D. A. Bozhko, B. Hillebrands, and P. Pirro, Backscattering immunity of dipole-exchange magnetostatic surface spin waves, Phys. Rev. Lett.122, 197201 (2019)

    2019

  41. [49]

    Mohseni, A

    M. Mohseni, A. Qaiumzadeh, A. A. Serga, A. Brataas, B. Hillebrands, and P. Pirro, Bose–einstein condensa- tion of nonequilibrium magnons in confined systems, New Journal of Physics22, 083080 (2020)

    2020

  42. [50]

    Rand, Lecture notes on nonlinear vibrations, (2012)

    R. Rand, Lecture notes on nonlinear vibrations, (2012)

    2012

  43. [51]

    W. D. Heiss, The physics of exceptional points, Journal of Physics A: Mathematical and Theoretical45, 444016 (2012)

    2012

  44. [52]

    E. J. Bergholtz, J. C. Budich, and F. K. Kunst, Ex- ceptional topology of non-hermitian systems, Rev. Mod. Phys.93, 015005 (2021)

    2021

  45. [53]

    Xue, Essay: Topological phases and exceptional points in non-hermitian systems, Phys

    P. Xue, Essay: Topological phases and exceptional points in non-hermitian systems, Phys. Rev. Lett.136, 170001 (2026)

    2026

  46. [54]

    C. A. Downing and A. Vidiella-Barranco, Parametrically driving a quantum oscillator into exceptionality, Scien- tific Reports13, 11004 (2023)

    2023

  47. [55]

    Sidorenko, J

    A. Sidorenko, J. M. Giesen, S. Eggert, and S. Linden, Tai- lored dissipation for directional transport in plasmonic ratchets, arXiv preprint 2603.00227 (2026)

    2026

  48. [56]

    Eckardt and E

    A. Eckardt and E. Anisimovas, High-frequency approx- imation for periodically driven quantum systems from a floquet-space perspective, New Journal of Physics17, 093039 (2015)

    2015

  49. [57]

    Vansteenkiste, J

    A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. Van Waeyenberge, The de- sign and verification of mumax3, AIP Advances4, 107133 (2014). 8 Appendix A: Calculation of vanishing resonances The goal is to calculate the quasi-energies for large drivi...

    2014

Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.