Quantum interactions between a single particle and nanoinclusions of spherical or cylindrical shape are optimized to produce scattering lineshapes of high selectivity with respect to impinging energies, excitation directions and cavity sizes. The optimization uses a rigorous solution derived via electromagnetic scattering formalism while the adopted scheme rejects boundary extrema corresponding to resonances that occur outside of the permissible parametric domains. The reported effects may inspire experimental efforts towards designing quantum sensing systems employed in applications spanning from quantum switching and filtering to single-photon detection and quantum memory.
2. Degen, C. L., F. Reinhard, and P. Cappellaro, "Quantum sensing," Rev. Mod. Phys., Vol. 89, 035002, 2017.
doi:10.1103/RevModPhys.89.035002
3. Schirhag, R., K. Chang, M. Loretz, and C. L. Degen, "Nitrogen-vacancy centers in diamond: Nanoscale sensors for physics and biology," Annu. Rev. Phys. Chem., Vol. 65, 83, 2014.
doi:10.1146/annurev-physchem-040513-103659
4. Zaiser, S., T. Rendler, I. Jakobi, T. Wolf, S.-Y. Lee, S. Wagner, V. Bergholm, T. Schulte-Herbruggen, P. Neumann, and J. Wrachtr, "Enhancing quantum sensing sensitivity by a quantum memory," Nat. Commun., Vol. 7, 12279, 2016.
doi:10.1038/ncomms12279
5. Pirandola, S., B. R. Bardhan, T. Gehring, C. Weedbrook, and S. Lloyd, "Advances in photonic quantum sensing," Nat. Photonics, Vol. 12, 724, 2018.
doi:10.1038/s41566-018-0301-6
6. Ajoy, A., Y.-X. Liu, K. Saha, L. Marseglia, J.-C. Jaskula, U. Bissbort, and P. Cappellaro, "Quantum interpolation for high-resolution sensing," Proc. Natl. Acad. Sci. U.S.A., Vol. 114, 2149, 2017.
doi:10.1073/pnas.1610835114
7. Bonato, C., M. S. Blok, H. T. Dinani, D. W. Berry, M. L. Markham, D. J. Twitchen, and R. Hanson, "Optimized quantum sensing with a single electron spin using real-time adaptive measurements," Nat. Nanotechnol., Vol. 11, 247, 2016.
doi:10.1038/nnano.2015.261
8. Istrate, E. and E. H. Sargent, "Photonic crystal heterostructures and interfaces," Rev. Mod. Phys., Vol. 78, 455, 2006.
doi:10.1103/RevModPhys.78.455
9. Fleury, R. and A. Alu, "Exotic properties and potential applications of quantum metamaterials," Appl. Phys. A, Vol. 109, 781, 2012.
doi:10.1007/s00339-012-7345-0
10. Fleury, R. and A. Alu, "Manipulation of electron flow using near-zero index semiconductor metamaterials," Phys. Rev. B, Vol. 90, 035138, 2014.
doi:10.1103/PhysRevB.90.035138
11. Valagiannopoulos, C., "Optimized quantum filtering of matter waves with respect to incidence direction and impinging energy," Quantum Eng., Vol. 2, e52, 2020.
doi:10.1002/que2.52
12. Valagiannopoulos, C., "Quantum Fabry-Perot resonator: Extreme angular selectivity in matterwave tunneling," Phys. Rev. Appl., Vol. 12, 054042, 2019.
doi:10.1103/PhysRevApplied.12.054042
13. Valagiannopoulos, C., "Optimally sharp energy filtering of quantum particles via homogeneous planar inclusions," Sci. Rep., Vol. 10, 816, 2020.
doi:10.1038/s41598-019-56793-1
14. Ogawana, T. and H. Sakaguchi, "Transmission coefficient from generalized Cantor-like potentials and its multifractality," Phys. Rev. E, Vol. 97, 012205, 2018.
doi:10.1103/PhysRevE.97.012205
15. Valagiannopoulos, C., "Predicting the quantum texture from transmission probabilities," J. Appl. Phys., Vol. 127, 174301, 2020.
doi:10.1063/5.0006780
16. Christesen, J. D., C. W. Pinion, D. J. Hill, S. Kim, and J. F. Cahoon, "Chemically engraving semiconductor nanowires: Using three-dimensional nanoscale morphology to encode functionality from the bottom up," J. Phys. Chem. Lett., Vol. 7, 685, 2016.
doi:10.1021/acs.jpclett.5b02444
17. Gazibegovic, S., et al., "Epitaxy of advanced nanowire quantum devices," Nature, Vol. 548, 434, 2017.
doi:10.1038/nature23468
18. Hausmann, B. J. M., M. Khan, Y. Zhang, T. M. Babinec, K. Martinick, M. McCutcheon, P. R. Hemmerd, and M. Loncar, "Fabrication of diamond nanowires for quantum information processing applications," Diam. Relat. Mater., Vol. 19, 621, 2010.
doi:10.1016/j.diamond.2010.01.011
19. Tom, R. T., A. S. Nair, N. Singh, M. Aslam, C. L. Nagendra, R. Philip, K. Vijayamohanan, and T. Pradeep, "Freely dispersible Au@TiO2, Au@ZrO2, Ag@TiO2, and Ag@ZrO2 core-shell nanoparticles: One-step synthesis, characterization, spectroscopy, and optical limiting properties," Langmuir, Vol. 19, 3439, 2003.
doi:10.1021/la0266435
20. Xu, L., M. Sun, W. Ma, H. Kuang, and C. Xu, "Self-assembled nanoparticle dimers with contemporarily relevant properties and emerging applications," Materials Today, Vol. 19, 595, 2016.
doi:10.1016/j.mattod.2016.05.015
21. Ko, H.-W., M.-H. Chi, C.-W. Chang, C.-W. Chu, K.-H. Luo, and J.-T. Chen, "Fabrication of coreshell polymer nanospheres in the nanopores of anodic Aluminum oxide templates using polymer blend solutions," ACS Macro Letters, Vol. 4, 717, 2015.
doi:10.1021/acsmacrolett.5b00297
22. Lee, J. Y. and R.-K. Lee, "Exploring matter wave scattering by means of the phase diagram," EPL, Vol. 124, 30006, 2018.
doi:10.1209/0295-5075/124/30006
23. Valagiannopoulos, C., "Maximal quantum scattering by homogeneous spherical inclusions," Phys. Rev. B, Vol. 100, 035308, 2019.
doi:10.1103/PhysRevB.100.035308
24. Lee, J. Y., A. E. Miroshnichenko, and R.-K. Lee, "Designing quantum resonant scatterers at subwavelength scale," Phys. Lett. A, Vol. 381, 2860, 2017.
doi:10.1016/j.physleta.2017.06.051
25. Liao, B., M. Zebarjadi, K. Esfarjani, and G. Chen, "Cloaking core-shell nanoparticles from conducting electrons in solids," Phys. Rev. Lett., Vol. 109, 126806, 2012.
doi:10.1103/PhysRevLett.109.126806
26. Valagiannopoulos, C., "Perfect quantum cloaking of tilted cylindrical nanocavities," Phys. Rev. B, Vol. 101, 195301, 2020.
doi:10.1103/PhysRevB.101.195301
27. Valagiannopoulos, C., E. A. Marengo, A. G. Dimakis, and A. Alu, "Aharonov-Bohm-inspired tomographic imaging via compressive sensing," IET Microw. Antennas Propag., Vol. 12, 1890, 2018.
doi:10.1049/iet-map.2017.0609
28. Fleury, R. and A. Alu, "Quantum cloaking based on scattering cancellation," Phys. Rev. B, Vol. 87, 045423, 2013.
doi:10.1103/PhysRevB.87.045423
29. Valagiannopoulos, C., A. N. Askarpour, and A. Alu, "Aharonov-Bohm detection of two-dimensional magnetostatic cloaks," Phys. Rev. B, Vol. 92, 224414, 2015.
doi:10.1103/PhysRevB.92.224414
30. Lee, J. Y. and R.-K. Lee, "Hiding the interior region of core-shell nanoparticles with quantum invisible cloaks," Phys. Rev. B, Vol. 89, 155425, 2014.
doi:10.1103/PhysRevB.89.155425
31. Fleury, R. and A. Alu, "Furtive quantum sensing using matter-wave cloaks," Phys. Rev. B, Vol. 87, 201106(R), 2013.
doi:10.1103/PhysRevB.87.201106
32. Zhang, S., D. A. Genov, C. Sun, and X. Zhang, "Cloaking of matter waves," Phys. Rev. Lett., Vol. 100, 123002, 2008.
doi:10.1103/PhysRevLett.100.123002
33. Greenleaf, A., Y. Kurylev, M. Lassas, and G. Uhlmann, "Approximate quantum cloaking and almost-trapped states," Phys. Rev. Lett., Vol. 101, 220404, 2008.
doi:10.1103/PhysRevLett.101.220404
34. Valagiannopoulos, C. A., "Study of an electrically anisotropic cylinder excited magnetically by a straight strip line," Progress In Electromagnetics Research, Vol. 73, 297, 2007.
doi:10.2528/PIER07041203
35. Valagiannopoulos, C. A., "Arbitrary currents on circular cylinder with inhomogeneous cladding and RCS optimization," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 5, 665-680, 2007.
doi:10.1163/156939307780667337
36. Valagiannopoulos, C. A., "Closed-form solution to the scattering of a skew strip field by metallic pin in a slab," Progress In Electromagnetics Research, Vol. 79, 1, 2008.
doi:10.2528/PIER07092206
37. Valagiannopoulos, C. A., "A novel methodology for estimating the permittivity of a specimen rod at low radio frequencies," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 5–6, 631-640, 2010.
doi:10.1163/156939310791036331
38. Trachanas, S., An Introduction to Quantum Physics: A First Course for Physicists, Chemists, Materials Scientists, and Engineers, John Wiley & Sons, New York, USA, 2018.
39. Griffiths, D. J., "Introduction to Quantum Mechanics," Pearson Prentice Hall, 2005.
40. Hodge, W. B., S. V. Migirditch, and W. C. Kerr, "Electron spin and probability current density in quantum mechanics," Am. J. Phys., Vol. 82, 681, 2014.
doi:10.1119/1.4868094
41. Balanis, C. A., Advanced Engineering Electromagnetics, JohnWiley & Sons, New York, USA, 2012.
42. Osipov, A. V. and S. A. Tretyakov, Modern Electromagnetic Scattering Theory with Applications, John Wiley & Sons, New York, USA, 2017.
doi:10.1002/9781119004639
43. Valagiannopoulos, C. A., "Single-series solution to the radiation of loop antenna in the presence of a conducting sphere," Progress In Electromagnetics Research, Vol. 71, 277, 2007.
doi:10.2528/PIER07030803
44. Sheverdin, A. and C. Valagiannopoulos, "Core-shell nanospheres under visible light: Optimal absorption, scattering, and cloaking," Phys. Rev. B, Vol. 99, 075305, 2019.
doi:10.1103/PhysRevB.99.075305
45. Cohen-Tannoudji, C., B. Diu, and F. Laloe, Quantum Mechanics, John Wiley & Sons, New York, USA, 1992.
46. Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley & Sons, New York, USA, 1983.
47. Valagiannopoulos, C. A., "An overview of the Watson transformation presented through a simple example," Progress In Electromagnetics Research, Vol. 75, 137, 2007.
doi:10.2528/PIER07052502
48. Mandilara, A., C. Valagiannopoulos, and V. M. Akulin, "Classical and quantum dispersion-free coherent propagation by tailoring multimodal coupling," Phys. Rev. A, Vol. 99, 023849, 2019.
doi:10.1103/PhysRevA.99.023849
49. Abrashuly, A. and C. Valagiannopoulos, "Limits for absorption and scattering by core-shell nanowires in the visible spectrum," Phys. Rev. Appl., Vol. 11, 014051, 2019.
doi:10.1103/PhysRevApplied.11.014051
50. Adachi, S., Properties of Semiconductor Alloys: Group-IV, III-V and II-VI Semiconductors, John Wiley & Sons, New York, USA, 2009.
51. Miroshnichenko, A. E., S. Flach, and Y. S. Kivshar, "Fano resonances in nanoscale structures," Rev. Mod. Phys., Vol. 82, 2257, 2010.
doi:10.1103/RevModPhys.82.2257
52. Valagiannopoulos, C., "Steering of quantum signals along coupled paths of arbitrary curvature," J. Opt. Soc. Am. B, Vol. 38, 263, 2021.
doi:10.1364/JOSAB.404394
Submit
