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arxiv: 2606.08557 · v1 · pith:UJ7ECA3Vnew · submitted 2026-06-07 · 🪐 quant-ph

Dissipative Channels Determine Open Electromagnetic Quantization

Hyunwoo Choi , Junwoo Gim , Thomas E. Roth , Weng Cho Chew , Dong-Yeop Na This is my paper

Pith reviewed 2026-06-27 18:45 UTC · model grok-4.3

classification 🪐 quant-ph
keywords electromagnetic quantizationopen systemsMaxwell operatordissipative channelsinput-output relationsGreen functionsboundary-assisted reservoirsnoise kernels
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The pith

Factoring the imaginary part of the Maxwell operator identifies reservoirs directly from dissipation geometry and supplies a quantization for open electromagnetic systems with arbitrary passive boundaries.

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

The paper develops a quantization scheme for open electromagnetic systems that replaces phenomenological reservoirs with ones extracted from the dissipation geometry of the Maxwell operator. Factoring the imaginary part of that operator produces a bosonic realization of the field and splits fluctuation channels into medium-assisted ones arising from material absorption and boundary-assisted ones arising from exchange at the open boundary. The resulting Green-function input-output relations then deliver frequency-dependent scattering and noise kernels without Markov or single-mode restrictions. A sympathetic reader would care because the scheme applies uniformly to structures that mix impedance loads, outgoing radiation, and waveguide ports, such as lossy photonic circuits.

Core claim

Factoring the imaginary part of the Maxwell operator gives a bosonic realization of the electromagnetic field operator and partitions the fluctuation channels into medium-assisted reservoirs from material absorption and boundary-assisted reservoirs from exchange through the open boundary. Depending on the boundary condition the latter become free-space radiation modes, impedance-load channels, guided port modes or more general boundary channels. Green-function input-output relations then follow, yielding frequency-dependent scattering and noise kernels without Markov or single-mode assumptions.

What carries the argument

Factoring the imaginary part of the Maxwell operator, which supplies the bosonic field realization and separates medium-assisted from boundary-assisted fluctuation channels.

If this is right

  • Green-function input-output relations hold for arbitrary passive boundary conditions.
  • Scattering and noise kernels are obtained at each frequency without Markov or single-mode assumptions.
  • Mixed impedance and outgoing boundaries receive a consistent treatment in lossy structures.
  • Waveguide-port boundaries in photonic integrated circuits are quantized by the same procedure.

Where Pith is reading between the lines

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

  • The separation of channels suggests a route to compute non-Markovian correlations in time-dependent open systems once the kernels are known.
  • The method may connect to device-level noise modeling in integrated photonics by treating radiation and absorption loss on equal footing.
  • Direct comparison of predicted versus measured noise spectra in a single-mode waveguide with known port boundaries would provide a concrete test.

Load-bearing premise

The boundary conditions are passive, so that the dissipation geometry of the Maxwell operator directly identifies the reservoirs without further phenomenological input.

What would settle it

Computing the frequency-dependent noise kernel for a concrete lossy structure that has specified mixed impedance and outgoing boundaries, then measuring that kernel experimentally and finding a mismatch, would falsify the claim.

Figures

Figures reproduced from arXiv: 2606.08557 by Dong-Yeop Na, Hyunwoo Choi, Junwoo Gim, Thomas E. Roth, Weng Cho Chew.

Figure 1
Figure 1. Figure 1: FIG. 1: One-dimensional waveguide with an [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: HOM interference for non-Markovian [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
read the original abstract

We formulate a quantization scheme for open electromagnetic systems with arbitrary passive boundary conditions. Rather than specifying reservoirs phenomenologically, the method identifies them from the dissipation geometry of the Maxwell operator. Factoring the imaginary part of the Maxwell operator gives a bosonic realization of the field operator and separates the fluctuation channels into medium-assisted reservoirs from material absorption and boundary-assisted reservoirs from exchange through the open boundary. Depending on the boundary condition, the latter become free-space radiation modes, impedance-load channels, guided port modes, or more general boundary channels. Green-function input-output relations then follow as an application, yielding frequency-dependent scattering and noise kernels without Markov or single-mode assumptions. To illustrate the practical application, we consider a lossy structure with mixed impedance and outgoing boundaries, and photonic integrated circuit configurations with waveguide port boundaries.

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 / 2 minor

Summary. The manuscript proposes a quantization scheme for open electromagnetic systems subject to arbitrary passive boundary conditions. Rather than introducing reservoirs phenomenologically, the method identifies them from the dissipation geometry of the Maxwell operator: factoring its imaginary part is claimed to furnish a bosonic realization of the field operator while cleanly separating fluctuation channels into medium-assisted reservoirs (arising from material absorption) and boundary-assisted reservoirs (arising from exchange through the open boundary). The latter may correspond to free-space radiation modes, impedance-load channels, guided port modes, or more general boundary channels depending on the chosen boundary condition. Green-function input-output relations are then derived, producing frequency-dependent scattering and noise kernels without Markov or single-mode restrictions. The construction is illustrated by a lossy structure with mixed impedance and outgoing boundaries together with photonic-integrated-circuit examples employing waveguide-port boundaries.

Significance. If the central construction is valid, the result supplies a systematic, operator-based route to the bosonic field realization and reservoir separation that is grounded directly in the dissipation geometry of the Maxwell operator. This removes the need for ad-hoc reservoir modeling and yields input-output relations that remain valid for arbitrary passive boundaries and retain full frequency dependence. The explicit treatment of mixed boundary conditions in the illustrative example is a concrete strength, as is the avoidance of Markov or single-mode approximations. These features would make the framework useful for quantization of nanophotonic and quantum-optical structures with realistic open boundaries.

minor comments (2)
  1. The abstract states that 'factoring the imaginary part of the Maxwell operator' yields the bosonic realization, but the main text should supply the explicit operator definition and the algebraic steps of the factorization (including any domain or inner-product considerations) so that the separation into medium-assisted versus boundary-assisted channels can be verified directly.
  2. In the illustrative example with mixed impedance and outgoing boundaries, the paper should state the precise form of the boundary operators employed and confirm that they satisfy the passivity condition used in the general argument.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the detailed and positive summary of our manuscript, the assessment of its significance, and the recommendation for minor revision. No major comments were raised.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper's derivation begins with the Maxwell operator for open systems under passive boundary conditions and factors its imaginary part to obtain a bosonic field realization while separating medium-assisted and boundary-assisted fluctuation channels. Green-function input-output relations are presented as a direct application yielding scattering and noise kernels. No quoted step reduces by construction to a fitted input, self-citation chain, or ansatz smuggled from prior work by the same authors; the construction is framed as following from the operator's dissipation geometry without phenomenological reservoirs. The passive-boundary assumption is stated explicitly and does not embed the target result. This is a self-contained derivation against the stated inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Based solely on the abstract, the central claim rests on the Maxwell operator possessing a factorable imaginary part that encodes dissipation and on the assumption that passive boundary conditions suffice to define the boundary-assisted channels. No free parameters or new invented entities are explicitly introduced in the abstract.

axioms (2)
  • domain assumption The Maxwell operator for the electromagnetic system has an imaginary part whose factorization yields a bosonic field realization.
    This is the core step stated in the abstract for separating fluctuation channels.
  • domain assumption Boundary conditions are passive.
    Explicitly stated as the setting for arbitrary passive boundary conditions.

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Reference graph

Works this paper leans on

50 extracted references · 4 canonical work pages

  1. [1]

    Breuer and F

    H.-P. Breuer and F. Petruccione,The Theory of Open Quantum Systems(Oxford University Press, 2007)

    2007

  2. [2]

    Campaioli, J

    F. Campaioli, J. H. Cole, and H. Hapuarachchi, Quantum master equations: Tips and tricks for quantum optics, quantum computing, and beyond, PRX Quantum5, 020202 (2024)

    2024

  3. [3]

    H. M. Wiseman and G. J. Milburn,Quantum mea- surement and control(Cambridge University Press, 2010)

    2010

  4. [4]

    Alexander, A

    K. Alexander, A. Benyamini, D. Black,et al., A manufacturable platform for photonic quantum computing, Nature641, 876 (2025)

    2025

  5. [5]

    Jahani, S

    S. Jahani, S. Kim, J. Atkinson, J. C. Wirth, F. Kalhor, A. A. Noman, W. D. Newman, P. Shekhar, K. Han, V. Van, R. G. DeCorby, L. Chrostowski, M. Qi, and Z. Jacob, Controlling evanescent waves using silicon photonic all-dielectric metamaterials for dense integration, Nature Com- munications9, 1893 (2018)

    2018

  6. [6]

    D. T. Spencer, J. F. Bauters, M. J. R. Heck, and J. E. Bowers, Integrated waveguide coupled si3n4 resonators in the ultrahigh-q regime, Optica1, 153 (2014)

    2014

  7. [7]

    Delga, J

    A. Delga, J. Feist, J. Bravo-Abad, and F. J. Garcia- Vidal, Quantum emitters near a metal nanoparti- cle: Strong coupling and quenching, Phys. Rev. Lett. 112, 253601 (2014)

    2014

  8. [8]

    M. S. Tame, K. R. McEnery, S ¸. K.¨Ozdemir, J. Lee, S. A. Maier, and M. S. Kim, Quantum plasmonics, Nature Physics9, 329 (2013)

    2013

  9. [9]

    A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakinskiy, and A. N. Poddubny, Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations, Rev. Mod. Phys.95, 015002 (2023)

    2023

  10. [10]

    Melati, F

    D. Melati, F. Morichetti, and A. Melloni, A unified approach for radiative losses and backscattering in optical waveguides, J. Opt.16, 055502 (2014)

    2014

  11. [11]

    Magnard, S

    P. Magnard, S. Storz, P. Kurpiers, J. Sch¨ ar, F. Marxer, J. L¨ utolf, T. Walter, J.-C. Besse, M. Gabureac, K. Reuer, A. Akin, B. Royer, A. Blais, and A. Wallraff, Microwave quantum link between superconducting circuits housed in spatially sep- arated cryogenic systems, Phys. Rev. Lett.125, 260502 (2020)

    2020

  12. [12]

    Kurpiers, P

    P. Kurpiers, P. Magnard, T. Walter, B. Royer, M. Pechal, J. Heinsoo, Y. Salath´ e, A. Akin, S. Storz, J.-C. Besse, S. Gasparinetti, A. Blais, and A. Wall- raff, Deterministic quantum state transfer and re- mote entanglement using microwave photons, Na- ture558, 264 (2018)

    2018

  13. [13]

    Blais, A

    A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wall- raff, Circuit quantum electrodynamics, Rev. Mod. Phys.93, 025005 (2021)

    2021

  14. [14]

    Reiserer and G

    A. Reiserer and G. Rempe, Cavity-based quantum networks with single atoms and optical photons, Rev. Mod. Phys.87, 1379 (2015)

    2015

  15. [15]

    M. K. Bhaskaret al., Experimental demonstration of memory-enhanced quantum communication, Na- ture580, 60 (2020)

    2020

  16. [16]

    N. Lauk, N. Sinclair, S. Barzanjeh, J. P. Covey, M. Saffman, M. Spiropulu, and C. Simon, Perspec- tives on quantum transduction, Quantum Science and Technology5, 020501 (2020)

    2020

  17. [17]

    Mirhosseini, A

    M. Mirhosseini, A. Sipahigil, M. Kalaee, and O. Painter, Superconducting qubit to optical pho- ton transduction, Nature588, 599 (2020)

    2020

  18. [18]

    Scheel and S

    S. Scheel and S. Y. Buhmann, Macroscopic quantum electrodynamics – concepts and applications, Acta Physica Slovaca58, 675 (2008)

    2008

  19. [19]

    H. T. Dung, L. Kn¨ oll, and D.-G. Welsch, Sponta- neous decay in the presence of dispersing and ab- sorbing bodies: General theory and application to a spherical cavity, Phys. Rev. A62, 053804 (2000)

    2000

  20. [20]

    Gruner and D.-G

    T. Gruner and D.-G. Welsch, Green-function ap- proach to the radiation-field quantization for ho- mogeneous and inhomogeneous kramers-kronig di- electrics, Phys. Rev. A53, 1818 (1996)

    1996

  21. [21]

    Ciattoni, Quantum electrodynamics of lossy magnetodielectric samples in vacuum: Modified langevin noise formalism, Phys

    A. Ciattoni, Quantum electrodynamics of lossy magnetodielectric samples in vacuum: Modified langevin noise formalism, Phys. Rev. A110, 013707 (2024)

    2024

  22. [22]

    D.-Y. Na, T. E. Roth, J. Zhu, W. C. Chew, and C. J. Ryu, Numerical framework for modeling quantum electromagnetic systems involving finite-sized lossy dielectric objects in free space, Phys. Rev. A107, 063702 (2023)

    2023

  23. [23]

    Ciattoni, Direct derivation of the modified langevin noise formalism from the canonical quan- tization of macroscopic electromagnetism (2026), arXiv:2603.04336 [quant-ph]

    A. Ciattoni, Direct derivation of the modified langevin noise formalism from the canonical quan- tization of macroscopic electromagnetism (2026), arXiv:2603.04336 [quant-ph]

    Pith/arXiv arXiv 2026

  24. [24]

    H. Choi, T. E. Roth, W. C. Chew, and D.-Y. Na, Non-markovian analysis of atom-field interactions in dissipative electromagnetic environments, Phys. Rev. Appl.24, 044056 (2025)

    2025

  25. [25]

    H. Choi, J. Seo, W. C. Chew, and D.-Y. Na, Atom- field non-markovian dynamics in open and dissipa- tive systems: An efficient memory-kernel approach linked to dyadic greens function and cem treatments (2025), arXiv:2511.03561 [quant-ph]

    arXiv 2025

  26. [26]

    H. Choi, W. C. Chew, and D.-Y. Na, Computa- tional framework for non-markovian multi-emitter dynamics beyond the single-excitation limit (2026), arXiv:2604.02741 [quant-ph]

    Pith/arXiv arXiv 2026

  27. [27]

    Miano, L

    G. Miano, L. M. Cangemi, and C. Forestiere, Spec- tral densities of a dispersive dielectric sphere in the modified langevin noise formalism, Phys. Rev. A 112, 033712 (2025)

    2025

  28. [28]

    Miano, L

    G. Miano, L. M. Cangemi, and C. Forestiere, Quan- tum emitter interacting with a dispersive dielectric object: a model based on the modified langevin noise formalism, Nanophotonics14, 4019 (2025)

    2025

  29. [29]

    Ciattoni, Quantum-optical scattering by macro- scopic lossy objects: A general approach, Phys

    A. Ciattoni, Quantum-optical scattering by macro- scopic lossy objects: A general approach, Phys. Rev. A112, 013704 (2025)

    2025

  30. [30]

    Ciattoni, Quantum interference effects in two- photon scattering by a macroscopic lossy sphere 7 (2025), arXiv:2510.27612 [quant-ph]

    A. Ciattoni, Quantum interference effects in two- photon scattering by a macroscopic lossy sphere 7 (2025), arXiv:2510.27612 [quant-ph]

    arXiv 2025

  31. [31]

    Huang, H

    C. Huang, H. Ge, Y. Cheng, Z. He, F. Liu, and W. E. I. Sha, Modeling of far-field quantum coher- ence by dielectric bodies based on the volume in- tegral equation method, IEEE Transactions on An- tennas and Propagation , 1 (2026)

    2026

  32. [32]

    Moon, D.-Y

    S. Moon, D.-Y. Na, and T. E. Roth, Analytical quantum full-wave solutions for a 3-d circuit quan- tum electrodynamics system, IEEE Transactions on Antennas and Propagation72, 6702 (2024)

    2024

  33. [33]

    I. V. Lindell and A. H. Sihvola, Electromagnetic boundary conditions defined in terms of normal field components, IEEE Transactions on Antennas and Propagation58, 1128 (2010)

    2010

  34. [34]

    C. C. Gerry and P. L. Knight,Introductory quantum optics(Cambridge university press, 2023)

    2023

  35. [35]

    Gruner and D.-G

    T. Gruner and D.-G. Welsch, Quantum-optical input-output relations for dispersive and lossy mul- tilayer dielectric plates, Phys. Rev. A54, 1661 (1996)

    1996

  36. [36]

    Kn¨ oll, S

    L. Kn¨ oll, S. Scheel, E. Schmidt, D.-G. Welsch, and A. V. Chizhov, Quantum-state transformation by dispersive and absorbing four-port devices, Phys. Rev. A59, 4716 (1999)

    1999

  37. [37]

    A. H. Kiilerich and K. Mølmer, Input-output theory with quantum pulses, Phys. Rev. Lett.123, 123604 (2019)

    2019

  38. [38]

    Moon and T

    S. Moon and T. E. Roth, Analytical quan- tum full-wave analysis of few-photon transport through a superconducting cavity qubit (2026), arXiv:2603.03015 [quant-ph]

    arXiv 2026

  39. [39]

    C. K. Hong, Z. Y. Ou, and L. Mandel, Measure- ment of subpicosecond time intervals between two photons by interference, Phys. Rev. Lett.59, 2044 (1987)

    2044

  40. [40]

    T. G. Philbin, Canonical quantization of macro- scopic electromagnetism, New Journal of Physics 12, 123008 (2010)

    2010

  41. [41]

    W. C. Chew, D.-Y. Na, P. Bermel, T. E. Roth, C. J. Ryu, and E. Kudeki, Quantum maxwell’s equations made simple: Employing scalar and vector poten- tial formulation, IEEE Antennas and Propagation Magazine63, 14 (2021)

    2021

  42. [42]

    Franke, S

    S. Franke, S. Hughes, M. K. Dezfouli, P. T. Kris- tensen, K. Busch, A. Knorr, and M. Richter, Quan- tization of quasinormal modes for open cavities and plasmonic cavity quantum electrodynamics, Phys. Rev. Lett.122, 213901 (2019)

    2019

  43. [43]

    Fuchs, J

    R. Fuchs, J. Ren, S. Franke, S. Hughes, and M. Richter, Quantization of optical quasinormal modes for spatially separated cavity systems with finite retardation, Phys. Rev. A110, 043718 (2024)

    2024

  44. [44]

    Franke, J

    S. Franke, J. Ren, and S. Hughes, Quantized quasinormal-mode theory of coupled lossy and am- plifying resonators, Phys. Rev. A105, 023702 (2022)

    2022

  45. [46]

    T. G. Philbin, New Journal of Physics12, 123008 (2010), URLhttps://doi.org/10.1088/1367-2630/12/12/123008

    work page doi:10.1088/1367-2630/12/12/123008 2010

  46. [47]

    Scheel and S

    S. Scheel and S. Y. Buhmann, Acta Physica Slovaca58, 675 (2008)

    2008

  47. [48]

    Franke, S

    S. Franke, S. Hughes, M. K. Dezfouli, P. T. Kristensen, K. Busch, A. Knorr, and M. Richter, Phys. Rev. Lett.122, 213901 (2019), URLhttps://link.aps.org/doi/10.1103/PhysRevLett.122.213901

    work page doi:10.1103/physrevlett.122.213901 2019

  48. [49]

    Fuchs, J

    R. Fuchs, J. Ren, S. Franke, S. Hughes, and M. Richter, Phys. Rev. A110, 043718 (2024), URLhttps://link.aps.org/ doi/10.1103/PhysRevA.110.043718

    work page doi:10.1103/physreva.110.043718 2024

  49. [50]

    Good quantum error-correcting codes exist

    S. Franke, J. Ren, and S. Hughes, Phys. Rev. A105, 023702 (2022), URLhttps://link.aps.org/doi/10.1103/PhysRevA. 105.023702

    work page doi:10.1103/physreva 2022

  50. [51]

    Gustin, J

    C. Gustin, J. Ren, S. Franke, and S. Hughes,Dissipation in the broadband and ultrastrong coupling regimes of cavity quantum electrodynamics: An ab initio quantized quasinormal mode approach(2025), 2507.21408, URLhttps://arxiv. org/abs/2507.21408

    arXiv 2025