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Ten years of the bundler

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Ten years of the bundler

J. Larson, one of the contemporary Jaynes--Cummings experts, does not make much drama about it but gives an accurate description in his textbook, covering both the Jaynes--Cummings and Mollow aspects, which is a subtle point:

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In contrast, González Tudela et al.[1] in their review on light-matter interactions in quantum photonic devices, make uninformed statements, as if the bundler (Ref. 103) is an incremental technological improvement with better cooperativity:

Screenshot 20240630 124331.png

Like most papers, it also cites badly the reference by butchering the name of its first Author as Muñoz C. S. (as it they did not know how to write Spanish names) and, of course, the term "bundle" is not used. I would not quite trust this review for an accurate account of the other papers. It's funny that Larson seems to understand the bundler much better than one of its co-Authors!

The perovskite people seem to like the idea as they see the bundler as a potential beneficiary of their emitters. This is from Raino et al.:[2]

Screenshot 20240630 130532.png

And this is from Cherniukh et al.:[3]

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Hamsen et al.[4] comment on direct production under strong driving:

Screenshot 20240630 131432.png

Cygorek et al.[5] quote the bundler as an application of the fluorescence of quantum dots:

Screenshot 20240630 131904.png

 •  • Pscherer et al.[6] highlight the bundler and use the term, although as an application of many emitters, which might even be correct, but properly speaking, the application should go with the single-molecule listing:

Screenshot 20240630 132617.png

Shi et al.[7] cite the bundler for single photons or photons pairs, which is missing the main point:

Screenshot 20240630 133249.png

 •  •  • Bin et al.[8] port the idea to a different (phonon) platform. They retain the term. I am an author but the main work is from the other group(s). This started a whole activity on bundling with phonons (with a separate branch not quoting the original paper anymore, e.g., in 2022, this paper was more cited [23 times] than the bundler itself [22]):

Screenshot 20240630 133650.png
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 • Müller et al.[9] rightfully point at the future of the results reported in this text. Although we are authors, most of the work (even theoretical) is from the Vuckovic group and we acted more as consultants on this one, in particular due to our role in planting the seminal idea:

Screenshot 20240630 134317.png

 •  •  • Bin et al.[10] add parity-protection (suppressing even-number bundles) and ultrastrong-coupling dynamics. The bundler paper is cited many times, as various of its concepts, techniques and resulted are used.

 • Loredo et al.:[11]

Screenshot 20240630 135316.png

 • Fischer et al.[12]refers to the temporal structure of the bundle:

Screenshot 20240630 135742.png

 • Boos et al.[13] suggest a time-resolved bundling emission:

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Fischer et al.[14] cite the bundler as one of the "multi-photon quantum state generators":

Screenshot 20240630 141048.png

 •  •  • Liu et al.[15], in an already highly-cited paper, although in an obscure journal, study STIRAP technique for high photon-number bundle generation:

Screenshot 20240630 142805.png

Heindel et al.[16] make a general reference:

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Kuruma et al.[17] make the technology required for the bundler in the future:

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 • KockumTemplate:Et al[18] refers to the bundle which could be produced by frequency conversion:

Screenshot 20240630 150226.png

 •  •  • Ma et al.[19] study bundle generations from a Josephson junction:

Screenshot 20240630 150618.png

Krisnanda et al.[20] cites the bundler in connection with NOON states, possibly mistaking this with the superposition ${1\over\sqrt{2}}(\ket{0\mathrm{g}}+\ket{N\mathrm{e}})$:

Screenshot 20240630 151105.png

 •  •  • Yuan  et al.[21] bring the scheme to magnons.

 • Groiseau et al.[22] comment on (two-photon) bundling opportunities from their THz single-photon source:

Screenshot 20240630 161757.png

Qiang et al.[23] report superbunching from perovskites and link that, maybe hurriedly, to entangled multi-photon quantum light:

Screenshot 20240630 162604.png

Rundquist et al.[24] limit the bundler to two-photon emission and attribute themselves the potential of generalization:

Screenshot 20240630 164243.png

Rivera17a et al.[25] bundle the bundler in a list of references that study two-photon spontaneous emission:

Screenshot 20240630 164734.png

MüllerTemplate:Et al[26], in a sister paper to Ref. [9], cites the bundler for potential applications:

Screenshot 20240630 165225.png

FischerTemplate:Et al[27] again pack up the bundler among multi-photon quantum state generators:

Screenshot 20240630 170013.png

 • RiveraTemplate:Et al[28] compare their Fock-laser to the bundler:

Screenshot 20240630 172732.png

Gu et al.[29] cite the bundler as a general $n$-photon source.

Screenshot 20240630 173133.png

 • Nair et al.[30] say that the ultra-strong coupling regime leads to newer possibilities such as the production of output fields in Fock states, suggesting they do not understand the bundling mechanism (that relies neither on ultra-strong coupling nor, which is more subtle, does it produce Fock states):

Screenshot 20240630 173720.png

 • Pashaei Adl et al.[31] again with perovskites refer to bundles or "bursts"

Screenshot 20240630 174847.png
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Groiseau et al.[32] make the incorrect statement that the bundler is (like other multiphoton sources) low-yield. It is CW so one could say it is intrinsically probabilistic in the form we have presented it:

Screenshot 20240630 175347.png

Template:Nguyen23a et al.[33] ...

Template:Sanchezmunoz20b et al.[34] are inspired by the bundler and its derived papers, although they do not use the term "bundle" (interestingly, Kockum does when Sánchez is not an author):

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Arlt et al.[35] cite the bundler as the pursuit of probabilistic multiparticle emitter:

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Sloan et al.[36] cite the bundler in connection to medical applications:

Screenshot 20240630 182926.png

 •  •  • Deng et al.[37] study phonon-bundles from a trapped ion, and introduces a distinction between Mollow and parametric down conversion:

Screenshot 20240630 183543.png

 •  •  • Gou et al.[38]

Chang et al.[39] cites the bundler (without ever using the term "bundle") as a new theoretical proposal using Purcell enhancement on dressed atomic system (not using the term leapfrog either, making the description quite vague and moot) and providing a definition of continuous multiphoton emission.

Screenshot 20240630 184511.png
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Hendrikson et al.[40] cite the bundler in the context of integrated quantum nonlinear optics:

Screenshot 20240630 185428.png

Rinaldi et al.[41] cite the bundler as an example producing nontrivial statistics. The term bundle is not used for photons, but it is accepted for the optical fibred that are bundled to make a camera though:

Screenshot 20240630 185737.png

FischerTemplate:Et al[42] identify a regime of low-detuned photon bundling:

Screenshot 20240630 190143.png

References

  1. Template:Tudela24a
  2. Template:Raino18a
  3. Perovskite-type superlattices from lead halide perovskite nanocubes. I. Cherniukh, G. Rainò, T. Stöferle, M. Burian, A. Travesset, D. Naumenko, H. Amenitsch, R. Erni, R. F. Mahrt, M. I. Bodnarchuk and M. V. Kovalenko in Nature 593:535 (2021).
  4. Template:Hamsen17a
  5. Sublinear Scaling in Non-Markovian Open Quantum Systems Simulations. M. Cygorek, J. Keeling, B. W. Lovett and E. M. Gauger in Phys. Rev. X 14:011010 (2024).
  6. Template:Pscherer21a
  7. Template:Shi15a
  8. $N$-Phonon Bundle Emission via the Stokes Process. Q. Bin, X.-Y Lü, F. P. Laussy, F. Nori and Y. Wu in Phys. Rev. Lett. 124:053601 (2020).
  9. 9.0 9.1 Coherent generation of nonclassical light on chip via detuned photon blockade. K. Müller, A. Rundquist, K. A. Fischer, T. Sarmiento, K. G. Lagoudakis, Y. A. Kelaita, C. Sánchez Muñoz, E. del Valle, F. P. Laussy and J. Vučković in Phys. Rev. Lett. 114:233601 (2015).
  10. Parity-Symmetry-Protected Multiphoton Bundle Emission. Q. Bin, Y. Wu and X.-Y. Lü in Phys. Rev. Lett. 127:073602 (2021).
  11. Template:Loredo19a
  12. Signatures of two-photon pulses from a quantum two-level system. K. Fischer, L. Hanschke, J. Wierzbowski, T. Simmet, C. Dory, J. Finley, J. Vučković and K. Müller in Nature Phys. 13:649 (2017).
  13. Signatures of Dynamically Dressed States. K. Boos, S. K. Kim, T. Bracht, F. Sbresny, J. M. Kaspari, M. Cygorek, H. Riedl, F. W. Bopp, W. Rauhaus, C. Calcagno, J. J. Finley, D. E. Reiter and K. Müller in Phys. Rev. Lett. 132:053602 (2024).
  14. Scattering into one-dimensional waveguides from a coherently-driven quantum-optical system. K. A. Fischer, R. Trivedi, V. Ramasesh, I. Siddiqi and J. Vučković in Quantum 2:69 (2018).
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  22. Single-Photon Source Over the Terahertz Regime. C. Groiseau, A. I. Fernández-Domínguez, D. Martín-Cano and C. S. Muñoz in Phys. Rev. X Quantum 5:010312 (2024).
  23. Template:Qiang23a
  24. Template:Rundquist14a
  25. Template:Rivera17a
  26. Template:Muller15b
  27. Pulsed Rabi oscillations in quantum two-level systems: beyond the area theorem. K. A. Fischer, L. Hanschke, M. Kremser, J. J. Finley, K. Müller and J. Vučković in Quantum Sci. Technol. 3:014006 (2017).
  28. Template:Rivera23a
  29. Quantum experiments and hypergraphs: Multiphoton sources for quantum interference, quantum computation and quantum entanglement. X. Gu, L. Chen and M. Krenn in Phys. Rev. A 101:033816 (2020).
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  31. Template:Pashaeiadl23a
  32. Proposal for a Deterministic Single-Atom Source of Quasisuperradiant $N$-Photon Pulses. C. Groiseau, A. E. Ellio, d. S. J. Mass and d. S. Parkins in Phys. Rev. Lett. 127:033602 (2021).
  33. Template:Nguyen23a
  34. Template:Sanchezmunoz20b
  35. Arlt et al. arXiv:2210.09981
  36. Template:Sloan21a
  37. Motional $n$-phonon bundle states of a trapped atom with clock transitions. Y. Deng, T. Shi and S. Yi in Phot. Res. 9:1289 (2021).
  38. Antibunched two-mode two-photon bundles via atomic coherence. C. Gou, X. Hu and F. Wang in Phys. Rev. A 106:063718 (2022).
  39. Deterministic Down-Converter and Continuous Photon-Pair Source within the Bad-Cavity Limit. Y. Chang, A. González-Tudela, C. S. Mu~noz, C. Navarrete-Benlloch and T. Shi in Phys. Rev. Lett. 117:203602 (2016).
  40. Template:Hendrickson14a
  41. Rinaldi et al. arXiv:2310.02309
  42. Self-homodyne measurement of a dynamic Mollow triplet in the solid state. K. A. Fischer, K. Müller, A. Rundquist, T. Sarmiento, A. Y. Piggott, Y. Kelaita, C. Dory, K. G. Lagoudakis and J. Vučković in Nature Phys. 10:163 (2016).