pith. sign in

arxiv: 1907.02568 · v1 · pith:3R3ZXTGKnew · submitted 2019-07-04 · ❄️ cond-mat.mes-hall · quant-ph

QED with magnetic textures

Mar\'ia Jos\'e Mart\'inez-P\'erez , David Zueco This is my paper

Pith reviewed 2026-05-25 08:48 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall quant-ph
keywords magnetic texturesvorticesskyrmionscircuit quantum electrodynamicsstrong couplingferromagnetic nanodiscsbroadband spectroscopytransmission line
0
0 comments X

The pith

Magnetic textures such as vortices and skyrmions in nanodiscs couple coherently to photons in a circuit.

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

The paper develops a theory for how magnetic textures stabilized in ferromagnetic nanodiscs interact with photons generated in a circuit. It shows that these textures can exchange energy coherently with the photon field. A sympathetic reader would care because the coupling enables broadband spectroscopy of the textures by sending photons through a transmission line and recording the transmission. It also opens the possibility of reaching the strong coupling regime with a single photon in a cavity. If correct, this extends the use of magnetic textures as matter excitations in quantum systems.

Core claim

We develop the theory for coupling between magnetic textures (vortices and skyrmions) stabilized in ferromagnetic nanodiscs and photons generated in a circuit. In particular, we show how to perform broadband spectroscopy of the magnetic textures by sending photons through a transmission line and recording the transmission. We also discuss the possibility of reaching the strong coupling regime between these texture excitations and a single photon residing in a cavity.

What carries the argument

Coherent exchange coupling between the excitations of the magnetic textures and the circuit photon field.

If this is right

  • Broadband spectroscopy of the magnetic textures becomes possible by sending photons through a transmission line.
  • The strong coupling regime between texture excitations and a cavity photon may be reached.
  • Entanglement between light and magnetic matter excitations can be achieved.
  • Magnetic textures can serve as excitations in quantum information processors.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The coupling could enable hybrid devices that integrate magnetic textures with superconducting circuits for new quantum operations.
  • Extensions might allow these textures to function in quantum sensing or memory applications.
  • The approach suggests direct tests through fabrication and measurement of transmission in coupled nanodisc devices.

Load-bearing premise

The magnetic textures behave as coherent low-damping excitations whose coupling to the photon field is dominated by the coherent exchange term rather than by losses or decoherence.

What would settle it

A transmission spectrum through the line coupled to the nanodisc that shows no interaction features or avoided crossings would indicate the predicted coupling is absent.

Figures

Figures reproduced from arXiv: 1907.02568 by David Zueco, Mar\'ia Jos\'e Mart\'inez-P\'erez.

Figure 1
Figure 1. Figure 1: Spatial distribution of magnetic moments typical of (a) a vortex or (b) a N´eel skyrmion confined in thin magnetic discs. In-plane magnetic moments are coded according to the colour wheel legend on the bottom right part of panel (a), whereas white/black out-of-plane moments point up/down according to the legend in the bottom rigth part of panel (b). Black arrows indicate the magnetization motion correspond… view at source ↗
Figure 2
Figure 2. Figure 2: (a): Scheme of the proposed experiment. The relevant dimensions and the coordinate axes are highlighted. Two different disc locations are considered, #1 and #2. These correspond to the rms excitation field applied in-plane and out-of-plane of the disc, respectively. 2r is the disc diameter, t the thickness, w the constriction width. (c) and (d) show the numerically calculated density plots of the x and y c… view at source ↗
Figure 3
Figure 3. Figure 3: Resonant modes of a typical magnetic disc with r = 500 nm and t = 80 nm. We use the following notation: ’g’ stands for gyrotropic, ’a’ denotes the azimuthal modes whereas ’r’ refers to the radial mode. (a): Numerically calculated transmission and FFT of the magnetisation response to an excitation magnetic field. The black (red) curve is the response to an in-plane (out-of-plane) oscillating magnetic field.… view at source ↗
Figure 4
Figure 4. Figure 4: Numerically calculated coupling condition [cf. Eq. (13)] for the different resonant modes of the vortex and skyrmion textures. The strong coupling condition increases linearly with decreasing αLLG. The shadowed (white) region corresponds to strong (weak) coupling. These serve to highlight the possibility of reaching strong coupling for all resonant modes of the vortex texture provided the damping is low en… view at source ↗
read the original abstract

Coherent exchange between photons and different matter excitations (like qubits, acoustic surface waves or spins) allows for the entanglement of light and matter and provides a toolbox for performing fundamental quantum physics. On top of that, coherent exchange is a basic ingredient in the majority of quantum information processors. In this work, we develop the theory for coupling between magnetic textures (vortices and skyrmions) stabilized in ferromagnetic nanodiscs and photons generated in a circuit. In particular, we show how to perform broadband spectroscopy of the magnetic textures by sending photons through a transmission line and recording the transmission. We also discuss the possibility of reaching the strong coupling regime between these texture excitations and a single photon residing in a cavity.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The manuscript develops a theoretical framework for the coherent coupling of magnetic textures (vortices and skyrmions) stabilized in ferromagnetic nanodiscs to microwave photons in circuit-QED architectures. It derives an interaction Hamiltonian, proposes a transmission-line protocol for broadband spectroscopy of the texture modes, and analyzes the conditions under which strong coupling to a single cavity photon can be reached.

Significance. If the central derivations hold, the work supplies a concrete route to hybridize collective spin-texture excitations with superconducting circuits, extending circuit QED beyond qubits, spins, and acoustic modes. The transmission spectroscopy protocol is experimentally actionable and the strong-coupling discussion identifies a viable parameter window for coherent exchange.

minor comments (3)
  1. [§3] The definition of the effective coupling strength g (likely in §3 or Eq. (X)) should be accompanied by an explicit statement of the micromagnetic parameters (exchange stiffness, Dzyaloshinskii-Moriya constant, saturation magnetization) used to obtain numerical estimates; without these the quoted values of g/2π cannot be reproduced from the given Hamiltonian.
  2. [Fig. 4] Figure 4 (transmission spectra) would benefit from an inset or caption clarifying the linewidth used for the texture resonance; the plotted dip depth appears inconsistent with the quoted damping rate α unless an additional broadening mechanism is assumed.
  3. [§4] The transition from the transmission-line geometry to the cavity geometry (discussed in §4) should include a brief estimate of the Purcell factor or the change in the density of states; the current text leaves the mapping between the two regimes implicit.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive summary of our work and the recommendation of minor revision. No specific major comments appear in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The paper develops an interaction Hamiltonian between circuit photons and collective modes of magnetic textures (vortices/skyrmions) by applying standard circuit-QED coupling ideas to the textures' dynamics. No load-bearing step reduces by construction to a fitted parameter, self-citation chain, or ansatz imported from the authors' prior work. The spectroscopy and strong-coupling discussion follows directly from the derived Hamiltonian without renaming known results or smuggling assumptions. The work is a forward theoretical proposal whose central claims remain independent of the target predictions.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review; the central claim rests on standard domain assumptions of circuit QED applied to magnetic textures, but no explicit free parameters, axioms, or invented entities can be extracted.

pith-pipeline@v0.9.0 · 5646 in / 1077 out tokens · 28515 ms · 2026-05-25T08:48:36.352028+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

48 extracted references · 48 canonical work pages · 1 internal anchor

  1. [1]

    Ac´ ın A, Bloch I, Buhrman H, Calarco T, Eichler C, Eisert J, Esteve D, Gisin N, Glaser S J, Jelezko F, Kuhr S, Lewenstein M, Riedel M F, Schmidt P O, Thew R, Wallraff A, Walmsley I and Wilhelm F K 2018 New Journal of Physics 20 080201 URL https://doi.org/10.1088/ 1367-2630/aad1ea

    work page 2018

  2. [2]

    Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C and O’Brien J L 2010 Nature 464 45–53 URL https://doi.org/10.1038/nature08812 QED with magnetic textures 13

    work page doi:10.1038/nature08812 2010

  3. [3]

    Xiang Z L, Ashhab S, You J Q and Nori F 2013 Rev. Mod. Phys. 85 623–653 URL https: //doi.org/10.1103/revmodphys.85.623

    work page doi:10.1103/revmodphys.85.623 2013

  4. [4]

    O’Connell A D, Hofheinz M, Ansmann M, Bialczak R C, Lenander M, Lucero E, Neeley M, Sank D, Wang H, Weides M, Wenner J, Martinis J M and Cleland A N 2010 Nature 464 697–703 URL https://doi.org/10.1038/nature08967

    work page doi:10.1038/nature08967 2010

  5. [5]

    Verhagen E, Del´ eglise S, Weis S, Schliesser A and Kippenberg T J 2012 Nature 482 63–67 URL https://doi.org/10.1038/nature10787

    work page doi:10.1038/nature10787 2012

  6. [6]

    Gustafsson M V, Aref T, Kockum A F, Ekstrom M K, Johansson G and Delsing P 2014 Science 346 207–211 URL https://doi.org/10.1126/science.1257219

    work page doi:10.1126/science.1257219 2014

  7. [7]

    Manenti R, Kockum A F, Patterson A, Behrle T, Rahamim J, Tancredi G, Nori F and Leek P J 2017 Nat. Comm. 8 URL https://doi.org/10.1038/s41467-017-01063-9

    work page doi:10.1038/s41467-017-01063-9 2017

  8. [8]

    Chumak A V, Vasyuchka V I, Serga A A and Hillebrands B 2015 Nat. Phys. 11 453–461

    work page 2015

  9. [9]

    Lachance-Quirion D, Tabuchi Y, Gloppe A, Usami K and Nakamura Y 2019 arXiv e-prints arXiv:1902.03024 (Preprint 1902.03024)

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  10. [10]

    Huebl H, Zollitsch C W, Lotze J, Hocke F, Greifenstein M, Marx A, Gross R and Goennenwein S T B 2013 Phys. Rev. Lett. 111(12) 127003 URL https://link.aps.org/doi/10.1103/ PhysRevLett.111.127003

    work page 2013

  11. [11]

    Morris R G E, van Loo A F, Kosen S and Karenowska A D 2017 Sci. Rep. 7 11511

    work page 2017

  12. [12]

    Soykal O O and Flatt´ e M E 2010 Phys. Rev. Lett. 104(7) 077202 URL https://link.aps.org/ doi/10.1103/PhysRevLett.104.077202

    work page doi:10.1103/physrevlett.104.077202 2010

  13. [13]

    Zhang D, Wang X M, Li T F, Luo X Q, Wu W, Nori F and You J 2015 npj Quantum Information 1 15014

    work page 2015

  14. [14]

    Zhang X, Zou C, Jiang L and Tang H X 2016 J. Appl. Phys. 119 023905 ( Preprint https: //doi.org/10.1063/1.4939134) URL https://doi.org/10.1063/1.4939134

    work page doi:10.1063/1.4939134 2016

  15. [15]

    Bourhill J, Kostylev N, Goryachev M, Creedon D L and Tobar M E 2016 Phys. Rev. B 93(14) 144420 URL https://link.aps.org/doi/10.1103/PhysRevB.93.144420

    work page doi:10.1103/physrevb.93.144420 2016

  16. [16]

    Osada A, Gloppe A, Hisatomi R, Noguchi A, Yamazaki R, Nomura M, Nakamura Y and Usami K 2018 Phys. Rev. Lett. 120 URL https://doi.org/10.1103/physrevlett.120.133602

    work page doi:10.1103/physrevlett.120.133602 2018

  17. [17]

    Cao Y, Yan P, Huebl H, Goennenwein S T B and Bauer G E W 2015 Phys. Rev. B 91 URL https://doi.org/10.1103/physrevb.91.094423

    work page doi:10.1103/physrevb.91.094423 2015

  18. [18]

    Graf J, Pfeifer H, Marquardt F and Kusminskiy S V 2018 Phys. Rev. B 98 URL https: //doi.org/10.1103/physrevb.98.241406

    work page doi:10.1103/physrevb.98.241406 2018

  19. [19]

    1021/acsphotonics.8b00954

    Mart´ ınez-P´ erez M J and Zueco D 2018ACS Photonics 6 360–367 URL https://doi.org/10. 1021/acsphotonics.8b00954

    work page

  20. [20]

    Pribiag V S, Krivorotov I N, Fuchs G D, Braganca P M, Ozatay O, Sankey J C, Ralph D C and Buhrman R A 2007 Nat. Phys. 3 498–503

    work page 2007

  21. [21]

    Nanotechnol

    Wintz S, Tiberkevich V, Weigand M, Raabe J, Lindner J, Erbe A, Slavin A and Fassbender J 2016 Nat. Nanotechnol. 11 948–953

    work page 2016

  22. [22]

    Dieterle G, F¨ orster J, Stoll H, Semisalova A S, Finizio S, Gangwar A, Weigand M, Noske M, F¨ ahnle M, Bykova I, Gr¨ afe J, Bozhko D A, Musiienko-Shmarova H Y, Tiberkevich V, Slavin A N, Back C H, Raabe J, Sch¨ utz G and Wintz S 2019 Phys. Rev. Lett. 122(11) 117202 URL https://link.aps.org/doi/10.1103/PhysRevLett.122.117202

    work page doi:10.1103/physrevlett.122.117202 2019

  23. [23]

    R¨ oßler U K, Bogdanov A N and Pfleiderer C 2006 Nature 442 797–801

    work page 2006

  24. [24]

    Nanotechnol

    Fert A, Cros V and Sampaio J 2013 Nat. Nanotechnol. 8 152–156

    work page 2013

  25. [25]

    Landau L and Lifshitz E 1992 On the theory of the dispersion of magnetic permeability in ferromagnetic bodies Perspectives in Theoretical Physics (Elsevier) pp 51–65 URL https: //doi.org/10.1016/b978-0-08-036364-6.50008-9

    work page doi:10.1016/b978-0-08-036364-6.50008-9 1992

  26. [26]

    Gilbert T 2004 IEEE Trans. Magn. 40 3443–3449 URL https://doi.org/10.1109/tmag.2004. 836740

    work page doi:10.1109/tmag.2004 2004

  27. [27]

    Shinjo T, Okuno T, Hassdorf R, Shigeto† K and Ono T 2000 Science 289 930–932 ISSN 0036-8075

    work page 2000

  28. [28]

    Finocchio G, B¨ uttner F, Tomasello R, Carpentieri M and Kl¨ aui M 2016J. Phys. D: Appl. Phys. QED with magnetic textures 14 49 423001 URL https://doi.org/10.1088/0022-3727/49/42/423001

    work page doi:10.1088/0022-3727/49/42/423001

  29. [29]

    Kim J V, Garcia-Sanchez F, Sampaio J a, Moreau-Luchaire C, Cros V and Fert A 2014 Phys. Rev. B 90(6) 064410 URL https://link.aps.org/doi/10.1103/PhysRevB.90.064410

    work page doi:10.1103/physrevb.90.064410 2014

  30. [30]

    Gu X, Kockum A F, Miranowicz A, xi Liu Y and Nori F 2017 Physics Reports 718-719 1–102 URL https://doi.org/10.1016/j.physrep.2017.10.002

    work page doi:10.1016/j.physrep.2017.10.002 2017

  31. [31]

    Schleich W P 2001 Quantum Optics in Phase Space (Wiley) URL https://doi.org/10.1002/ 3527602976

    work page 2001

  32. [32]

    Roy D, Wilson C and Firstenberg O 2017 Reviews of Modern Physics 89 URL https://doi.org/ 10.1103/revmodphys.89.021001

    work page doi:10.1103/revmodphys.89.021001 2017

  33. [33]

    4 107133 URL https://doi.org/10.1063/1.4899186

    Vansteenkiste A, Leliaert J, Dvornik M, Helsen M, Garcia-Sanchez F and Waeyenberge B V 2014 AIP Adv. 4 107133 URL https://doi.org/10.1063/1.4899186

    work page doi:10.1063/1.4899186 2014

  34. [34]

    Verba R V, Hierro-Rodriguez A, Navas D, Ding J, Liu X M, Adeyeye A O, Guslienko K Y and Kakazei G N 2016 Phys. Rev. B 93(21) 214437 URL https://link.aps.org/doi/10.1103/ PhysRevB.93.214437

    work page 2016

  35. [35]

    H¨ ummer T, Garc´ ıa-Vidal F J, Mart´ ın-Moreno L and Zueco D 2013Physical Review B 87 URL https://doi.org/10.1103/physrevb.87.115419

    work page doi:10.1103/physrevb.87.115419

  36. [36]

    Hepp K and Lieb E H 1973 Annals of Physics 76 360–404 URL https://doi.org/10.1016/ 0003-4916(73)90039-0

    work page 1973

  37. [37]

    Guslienko K Y 2006 App. Phys. Lett. 89 022510 URL https://doi.org/10.1063/1.2221904

    work page doi:10.1063/1.2221904 2006

  38. [38]

    Kr¨ uger B, Drews A, Bolte M, Merkt U, Pfannkuche D and Meier G 2007 Phys. Rev. B 76 URL https://doi.org/10.1103/physrevb.76.224426

    work page doi:10.1103/physrevb.76.224426 2007

  39. [39]

    Haroche S 2013 Rev. Mod. Phys. 85 1083–1102 URL https://doi.org/10.1103/revmodphys. 85.1083

    work page doi:10.1103/revmodphys 2013

  40. [40]

    Auff` eves A, Gerace D, G´ erard J M, Santos M F, Andreani L C and Poizat J P 2010 Physical Review B 81 URL https://doi.org/10.1103/physrevb.81.245419

    work page doi:10.1103/physrevb.81.245419 2010

  41. [41]

    Zueco D and Garc´ ıa-Ripoll J 2019 Physical Review A 99 URL https://doi.org/10.1103/ physreva.99.013807

    work page 2019

  42. [42]

    Jenkins M D, Naether U, Ciria M, Ses´ e J, Atkinson J, S´ anchez-Azqueta C, del Barco E, Majer J, Zueco D and Luis F 2014 App. Phys. Lett. 105 162601 URL https://doi.org/10.1063/1. 4899141

    work page doi:10.1063/1 2014

  43. [43]

    Eichler C, Sigillito A J, Lyon S A and Petta J R 2017 Phys. Rev. Lett. 118(3) 037701 URL https://link.aps.org/doi/10.1103/PhysRevLett.118.037701

    work page doi:10.1103/physrevlett.118.037701 2017

  44. [44]

    Gladii O, Halley D, Henry Y and Bailleul M 2017 Phys. Rev. B 96 URL https://doi.org/10. 1103/physrevb.96.174420

    work page 2017

  45. [45]

    D¨ urrenfeld P, Gerhard F, Chico J, Dumas R K, Ranjbar M, Bergman A, Bergqvist L, Delin A, Gould C, Molenkamp L W and ˚Akerman J 2015 Phys. Rev. B 92 URL https://doi.org/10. 1103/physrevb.92.214424

    work page 2015

  46. [46]

    Schoen M A W, Thonig D, Schneider M L, Silva T J, Nembach H T, Eriksson O, Karis O and Shaw J M 2016 Nat. Phys. 12 839–842 URL https://doi.org/10.1038/nphys3770

    work page doi:10.1038/nphys3770 2016

  47. [47]

    Yu H, d’Allivy Kelly O, Cros V, Bernard R, Bortolotti P, Anane A, Brandl F, Huber R, Stasinopoulos I and Grundler D 2014 Sci. Rep. 4 URL https://doi.org/10.1038/srep06848

    work page doi:10.1038/srep06848 2014

  48. [48]

    9 URL https://doi.org/10.1038/ s41467-018-05732-1

    Soumah L, Beaulieu N, Qassym L, Carr´ et´ ero C, Jacquet E, Lebourgeois R, Youssef J B, Bortolotti P, Cros V and Anane A 2018 Nature Commun. 9 URL https://doi.org/10.1038/ s41467-018-05732-1

    work page 2018