Ten years of the bundler

Revision as of 23:15, 30 June 2024

«Just like single quantum emitters have revolutionized microscopy by the introduction of superlocalization methods with nanoscale (subdiffraction) resolution, $N$-photon bundles will impact novel quantum imaging and quantum communication schemes, with potential also in the quantum computing domain (boson sampling).»

—Superradiant emission from self-assembled light emitters: From molecules to quantum dots. G. Raino, H. Utzat, M. Bawendi and M. Kovalenko in MRS Bull. 45:841 (2020).

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:

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:

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]

And this is from Cherniukh et al.:^[3]

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

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

 •  • 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:

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

 •  •  • 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]):

 • 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:

 •  •  • 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]

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

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

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

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

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

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

 • Kockum et al.^[18] refers to the bundle which could be produced by frequency conversion:

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

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

 •  •  • 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:

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

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

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

Müller et al.^[26], in a sister paper to Ref. _^[9], cites the bundler for potential applications:

Fischer et al.^[27] again pack up the bundler among multi-photon quantum state generators:

 • Rivera et al.^[28] compare their Fock-laser to the bundler:

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

 • 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):

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

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:

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):

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

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

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

 •  •  • 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.

Hendrikson et al.^[40] cite the bundler in the context of integrated quantum nonlinear optics:

Fischer et al.^[41] identify a regime of low-detuned photon bundling:

Xing et al.^[42] ...

Zou et al.^[43] ...

Hamsen et al.^[44] cite the bundler as an heralded $n$-photon source:

 • Rainò et al.^[45] describe bundling from superradiant (collective) emission:

They write in their concluding remark to their paper:

Note that one Author of this note later won the Nobel Prize in Chemistry.

Katsumi et al.^[46] cite the bundler (and frequency-filtering!) for "complex photonic quantum states through judicious manipulation")

Cortese et al.^[47] cite the bundler as an example of how light-matter hybridization alters quantum properties:

Mavrogordatos^[48] cites the bundler for multiphoton transitions as a mark of nonlinearity:

Tang et al.^[49] cite the bundler (last citation of the paper) as an example of possible implementation with variations of their scheme:

Garziano et al.^[50] cite the bundler as an eampleof engineering quantum properties of light emitted by a single emitter:

 • Dong et al.^[51] discuss multiphoton resonances as bundles:

Their Eq. (29) which is our two-bundle correlation function is also attributed to Glauber (maybe for the particular case $n=1$).

 •  •  • Jiang et al.^[52] is maybe the first paper ever to cite the bundler as its first reference and build its narrative from there:

 • Snijders et al.^[53] relate bundling to 'photon tunelling' that removes the single-photon component:

Carlos has his two names in this one but is cited as Mufloz.

Vivas-Viaña & Sánchez Muñoz cite the bundler for the dip in $g^{(2)}$ at the bundling peak; Bundling or bundles are nowhere mentioned:

You et al.^[54] refer to the bundler for their investigation of multi-particle van Cittert-Zernike theorem, although it is not always clear why it is included or excluded of the respective statements.

 • Gies and Reitzenstein^[55]

 • Leppäkangas et al.^[56] mention photon bundles from cavity physics as compared to their multiphoton Cooper mechanism:

 •  •  • Cosacchi et al.^[57]

Bostelmann et al.^[58] ...

 •  •  • Zou et al.^[59] cite the bundler (Ref. [11]) as a particular case of bundle generation, making an otherwise nice review of bundler-physics:

 •  •  • Bin et al.^[60] review the early days of cavity QED bundling to introduce her extended scheme:

 • Lebreuilly et al.^[61] compare their deterministic Fock state creation to the "many" recent other proposals of bundle creation:

 • Cosacchi et al.^[62] cite the bundler for multi-photon correlation functions:

 • Schmidt et al.^[63] mention bundles as examples of multiphoton sources:

 • Fischer et al.^[64] rely on the bundling statistics:

Similarities and differences with the original bundler are pointed out:

 • Stolyarov^[65] praises the Jaynes-Cummings model of various feats, including generating bundles:

Dhar et al.^[66] cite "nonclassical bundles" as one of the signatures of nonclassical collective features:

Gasparinetti et al.^[67] cites the bundler as something useful in quantum photonics, not being quite clear what they mean or how they relate it to the previous work [18]:

Ma et al.^[68] cite the bundler for the generalized bundle-statistics:

 • Zhang et al.^[69] cite the bundler (Ref. [10]) as a new light source, in between many references to bundles:

 • Li et al.^[70] mention the bundler as photonic computing (Ref. 8) in connection with superfluorecence of perovskites. The term "bundles" is later used to describe photon bursts.

 • Zuo et al.^[71] propose to use their (spinning) scheme to bundle generation:

López Carreño et al.^[72] list the bundler as an exotic source of light:

Macovei and Pálffy^[73] ...

Rinaldi et al.^[74] cite the bundler as an example producing nontrivial statistics. The term bundle is not used for photons, but it is accepted for the optical fibres that are bundled to make a camera:

Mavrogordatos^[75] cites the bundler for two-photon emission:

Yu et al.^[76] cite the bundler as a three-photon emitter:

References

1. ↑ Light–matter interactions in quantum nanophotonic devices. A. González-Tudela, A. Reiserer, J. J. García-Ripoll and F. J. García-Vidal in Nature Rev. Phys. 6:166 (2024).
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).
15. ↑ Template:Liu22a
16. ↑ Template:Heindel17a
17. ↑ Template:Kuruma20a
18. ↑ Template:Kockum17a
19. ↑ Template:Ma21a
20. ↑ Template:Krisnanda21a
21. ↑ Template:Yuan23a
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).
30. ↑ Template:Nair20a
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. ↑ 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).
42. ↑ Template:Xing24a
43. ↑ Template:Zou22a
44. ↑ Template:Hamsen18a
45. ↑ Superradiant emission from self-assembled light emitters: From molecules to quantum dots. G. Raino, H. Utzat, M. Bawendi and M. Kovalenko in MRS Bull. 45:841 (2020).
46. ↑ Template:Katsumi24a
47. ↑ Strong coupling of ionizing transitions. E. Cortese, I. Carusotto, R. Colombelli and S. D. Liberato in Optica 6:354 (2019).
48. ↑ Template:Mavrogordatos24a
49. ↑ Template:Tang19a
50. ↑ Cavity QED in the Ultrastrong Coupling Regime: Photon Bunching from the Emission of Individual Dressed Qubits. L. Garziano, A. Ridolfo, S. D. Liberato and S. Savasta in ACS Photonics 4:2345 (2017).
51. ↑ Multiphonon interactions between nitrogen-vacancy centers and nanomechanical resonators. X.-L. Dong and P.-B. Li in Phys. Rev. A 100:043825 (2019).
52. ↑ Template:Jiang23a
53. ↑ Template:Snijders16a
54. ↑ Template:You23a
55. ↑ Quantum dot micropillar lasers. C. Gies and S. Reitzenstein in Semicond. Sci. Technol. 34:073001 (2019).
56. ↑ Template:Leppakangas18a
57. ↑ $N$-photon bundle statistics on different solid-state platforms. M. Cosacchi, A. Mielnik-Pyszczorski, T. Seidelmann, M. Cygorek, A. Vagov, D. E. Reiter and V. M. Axt in Phys. Rev. B 106:115304 (2022).
58. ↑ Multipartite-entanglement generation in coupled microcavity arrays. M. Bostelmann, S. Wilksen, F. Lohof and C. Gies in Phys. Rev. A 107:032417 (2023).
59. ↑ Template:Zou23a
60. ↑ Entangled Photon‐Magnon Bundle Emission. Q. Bin, Q. Q, d. Ying and d. X. Lü in Laser Photon. Rev. ':2300977 (2024).
61. ↑ Template:Lebreuilly16a
62. ↑ Path-integral approach for nonequilibrium multitime correlation functions of open quantum systems coupled to Markovian and non-Markovian environments. M. Cosacchi, M. Cygorek, F. Ungar, A. M. Barth, A. Vagov and V. M. Axt in Phys. Rev. B 98:125302 (2018).
63. ↑ Template:Schmidt21a
64. ↑ On-Chip Architecture for Self-Homodyned Nonclassical Light. K. A. Fischer, Y. A. Kelaita, N. V. Sapra, C. Dory, K. G. Lagoudakis, K. Müller and J. Vučković in Phys. Rev. Appl. 7:044002 (2017).
65. ↑ Template:Stolyarov18a
66. ↑ Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles. H. S. Dhar, M. Zens, D. O. Krimer and S. Rotter in Phys. Rev. Lett. 121:133601 (2018).
67. ↑ Template:Agasparinetti19a
68. ↑ Template:Ma22a
69. ↑ Template:Zhang18a
70. ↑ Template:Li24a
71. ↑ Template:Zuo24a
72. ↑ Template:Lopezcarreno24a
73. ↑ Template:Macovei22a
74. ↑ Rinaldi et al. arXiv:2310.02309
75. ↑ Template:Mavrogordatos22a
76. ↑ Template:Yu21a