Abstract

Since their first introduction in 2006, q-plates have found a constantly increasing number of uses in diverse contexts, ranging from fundamental research on complex structured light fields to more applicative innovations of established experimental techniques, passing through a variety of other emerging topics, such as, for instance, quantum information protocols based on the angular momentum of light. In this paper, we present a bird’s-eye view of the progress of this technology in recent years and offer some educated guesses on the most likely future developments.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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  103. G. Ruane, G. Swartzlander, S. Slussarenko, L. Marrucci, and M. Dennis, “Nodal areas in coherent beams,” Optica 2, 147–150 (2015).
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  104. G. Foo, D. Palacios, and G. Swartzlander, “Optical vortex coronagraph,” Opt. Lett. 30, 3308–3310 (2005).
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  105. A. Aleksanyan and E. Brasselet, “Vortex coronagraphy from self-engineered liquid crystal spin-orbit masks,” Opt. Lett. 41, 5234–5237 (2016).
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  106. B. Piccirillo, M. Picardi, L. Marrucci, and E. Santamato, “Flat polarization-controlled cylindrical lens based on the Pancharatnam-Berry geometric phase,” Eur. J. Phys. 38, 034007 (2017).
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  107. S. Slussarenko, A. Alberucci, C. P. Jisha, B. Piccirillo, E. Santamato, G. Assanto, and L. Marrucci, “Guiding light via geometric phases,” Nat. Photonics 10, 571–575 (2016).
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  108. H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
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  109. M. Rafayelyan and E. Brasselet, “Laguerre-Gaussian modal q-plates,” Opt. Lett. 42, 1966–1969 (2017).
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  110. E. Brasselet, “Tunable high-resolution macroscopic self-engineered geometric phase optical elements,” Phys. Rev. Lett. 121, 033901 (2018).
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  111. Y. Chen, J. Gao, Z.-Q. Jiao, K. Sun, W.-G. Shen, L.-F. Qiao, H. Tang, X.-F. Lin, and X.-M. Jin, “Mapping twisted light into and out of a photonic chip,” Phys. Rev. Lett. 121, 233602 (2018).
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  112. A. Alberucci, C. P. Jisha, L. Marrucci, and G. Assanto, “Electromagnetic confinement via spin-orbit interaction in anisotropic dielectrics,” ACS Photon. 3, 2249–2254 (2016).
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  113. C. P. Jisha, A. Alberucci, L. Marrucci, and G. Assanto, “Interplay between diffraction and the Pancharatnam-Berry phase in inhomogeneously twisted anisotropic media,” Phys. Rev. A 95, 023823 (2017).
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  114. A. Hernandez-Serrano, E. Castro-Camus, and D. Lopez-Mago, “Q-plate for the generation of terahertz cylindrical vector beams fabricated by 3D printing,” J. Infrared Millim. Terahertz Waves 38, 938–944 (2017).
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  115. A. Minasyan, C. Trovato, J. Degert, E. Freysz, E. Brasselet, and E. Abraham, “Geometric phase shaping of terahertz vortex beams,” Opt. Lett. 42, 41–44 (2017).
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  116. C. Loussert, K. Kushnir, and E. Brasselet, “Q-plates micro-arrays for parallel processing of the photon orbital angular momentum,” Appl. Phys. Lett. 105, 121108 (2014).
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  117. M. G. Nassiri and E. Brasselet, “Multispectral management of the photon orbital angular momentum,” Phys. Rev. Lett. 121, 213901 (2018).
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2018 (8)

M. Erhard, R. Fickler, M. Krenn, and A. Zeilinger, “Twisted photons: new quantum perspectives in high dimensions,” Light: Sci. Appl. 7, 17146 (2018).
[Crossref]

J. Nivas, E. Allahyari, F. Cardano, A. Rubano, R. Fittipaldi, A. Vecchione, D. Paparo, L. Marrucci, R. Bruzzese, and S. Amoruso, “Surface structures with unconventional patterns and shapes generated by femtosecond structured light fields,” Sci. Rep. 8, 13613 (2018).
[Crossref]

E. Allahyari, J. Nivas, F. Cardano, R. Bruzzese, R. Fittipaldi, L. Marrucci, D. Paparo, A. Rubano, A. Vecchione, and S. Amoruso, “Simple method for the characterization of intense Laguerre-Gauss vector vortex beams,” Appl. Phys. Lett. 112, 211103 (2018).
[Crossref]

E. Brasselet, “Tunable high-resolution macroscopic self-engineered geometric phase optical elements,” Phys. Rev. Lett. 121, 033901 (2018).
[Crossref]

Y. Chen, J. Gao, Z.-Q. Jiao, K. Sun, W.-G. Shen, L.-F. Qiao, H. Tang, X.-F. Lin, and X.-M. Jin, “Mapping twisted light into and out of a photonic chip,” Phys. Rev. Lett. 121, 233602 (2018).
[Crossref]

M. G. Nassiri and E. Brasselet, “Multispectral management of the photon orbital angular momentum,” Phys. Rev. Lett. 121, 213901 (2018).
[Crossref]

K. Ingerslev, P. Gregg, M. Galili, F. Da Ros, H. Hu, F. Bao, M. Usuga Castaneda, P. Kristensen, A. Rubano, L. Marrucci, K. Rottwitt, T. Morioka, S. Ramachandran, and L. Oxenlowe, “12 mode, WDM, mimo-free orbital angular momentum transmission,” Opt. Express 26, 20225 (2018).
[Crossref]

I. Nape, E. Otte, A. Vallés, C. Rosales-Guzmán, F. Cardano, C. Denz, and A. Forbes, “Self-healing high-dimensional quantum key distribution using hybrid spin-orbit Bessel states,” Opt. Express 26, 26946–26960 (2018).
[Crossref]

2017 (15)

A. Minasyan, C. Trovato, J. Degert, E. Freysz, E. Brasselet, and E. Abraham, “Geometric phase shaping of terahertz vortex beams,” Opt. Lett. 42, 41–44 (2017).
[Crossref]

M. Rafayelyan and E. Brasselet, “Laguerre-Gaussian modal q-plates,” Opt. Lett. 42, 1966–1969 (2017).
[Crossref]

B. Cvarch, B. Khajavi, J. Jones, B. Piccirillo, L. Marrucci, and E. Galvez, “Monstar polarization singularities with elliptically-symmetric q-plates,” Opt. Express 25, 14935–14943 (2017).
[Crossref]

A. Sit, F. Bouchard, R. Fickler, J. Gagnon-Bischoff, H. Larocque, K. Heshami, D. Elser, C. Peuntinger, K. Günthner, B. Heim, C. Marquardt, G. Leuchs, R. W. Boyd, and E. Karimi, “High-dimensional intracity quantum cryptography with structured photons,” Optica 4, 1006 (2017).
[Crossref]

A. D’Errico, R. D’Amelio, B. Piccirillo, F. Cardano, and L. Marrucci, “Measuring the complex orbital angular momentum spectrum and spatial mode decomposition of structured light beams,” Optica 4, 1350–1357 (2017).
[Crossref]

C. P. Jisha, A. Alberucci, L. Marrucci, and G. Assanto, “Interplay between diffraction and the Pancharatnam-Berry phase in inhomogeneously twisted anisotropic media,” Phys. Rev. A 95, 023823 (2017).
[Crossref]

A. Hernandez-Serrano, E. Castro-Camus, and D. Lopez-Mago, “Q-plate for the generation of terahertz cylindrical vector beams fabricated by 3D printing,” J. Infrared Millim. Terahertz Waves 38, 938–944 (2017).
[Crossref]

H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
[Crossref]

J. Nivas, F. Cardano, Z. Song, A. Rubano, R. Fittipaldi, A. Vecchione, D. Paparo, L. Marrucci, R. Bruzzese, and S. Amoruso, “Surface structuring with polarization-singular femtosecond laser beams generated by a q-plate,” Sci. Rep. 7, 42142 (2017).
[Crossref]

J. Nivas, S. He, Z. Song, A. Rubano, A. Vecchione, D. Paparo, L. Marrucci, R. Bruzzese, and S. Amoruso, “Femtosecond laser surface structuring of silicon with Gaussian and optical vortex beams,” Appl. Surf. Sci. 418, 565–571 (2017).
[Crossref]

B. Piccirillo, M. Picardi, L. Marrucci, and E. Santamato, “Flat polarization-controlled cylindrical lens based on the Pancharatnam-Berry geometric phase,” Eur. J. Phys. 38, 034007 (2017).
[Crossref]

R. C. Devlin, A. Ambrosio, N. A. Rubin, J. P. B. Mueller, and F. Capasso, “Arbitrary spin-to-orbital angular momentum conversion of light,” Science 5392, eaao5392 (2017).

F. Kong, C. Zhang, F. Bouchard, Z. Li, G. G. Brown, D. H. Ko, T. J. Hammond, L. Arissian, R. W. Boyd, E. Karimi, and P. B. Corkum, “Controlling the orbital angular momentum of high harmonic vortices,” Nat. Commun. 8, 14970 (2017).
[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).
[Crossref]

F. Cardano, A. D’Errico, A. Dauphin, M. Maffei, B. Piccirillo, C. De Lisio, G. De Filippis, V. Cataudella, E. Santamato, L. Marrucci, M. Lewenstein, and P. Massignan, “Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons,” Nat. Commun. 8, 15516 (2017).
[Crossref]

2016 (9)

F. Cardano, M. Maffei, F. Massa, B. Piccirillo, C. De Lisio, G. De Filippis, V. Cataudella, E. Santamato, and L. Marrucci, “Statistical moments of quantum-walk dynamics reveal topological quantum transitions,” Nat. Commun. 7, 11439 (2016).
[Crossref]

H. Defienne, M. Barbieri, I. A. Walmsley, B. J. Smith, and S. Gigan, “Two-photon quantum walk in a multimode fiber,” Sci. Adv. 2, e1501054 (2016).
[Crossref]

G. Vallone, G. Parisi, F. Spinello, E. Mari, F. Tamburini, and P. Villoresi, “General theorem on the divergence of vortex beams,” Phys. Rev. A 94, 222–225 (2016).
[Crossref]

V. D’Ambrosio, G. Carvacho, F. Graffitti, C. Vitelli, B. Piccirillo, L. Marrucci, and F. Sciarrino, “Entangled vector vortex beams,” Phys. Rev. A 94, 030304 (2016).
[Crossref]

D. Naidoo, F. Roux, A. Dudley, I. Litvin, B. Piccirillo, L. Marrucci, and A. Forbes, “Controlled generation of higher-order Poincaré sphere beams from a laser,” Nat. Photonics 10, 327–332 (2016).
[Crossref]

S. Slussarenko, A. Alberucci, C. P. Jisha, B. Piccirillo, E. Santamato, G. Assanto, and L. Marrucci, “Guiding light via geometric phases,” Nat. Photonics 10, 571–575 (2016).
[Crossref]

A. Alberucci, C. P. Jisha, L. Marrucci, and G. Assanto, “Electromagnetic confinement via spin-orbit interaction in anisotropic dielectrics,” ACS Photon. 3, 2249–2254 (2016).
[Crossref]

A. Forbes, A. Dudley, and M. McLaren, “Creation and detection of optical modes with spatial light modulators,” Adv. Opt. Photon. 8, 200–227 (2016).
[Crossref]

A. Aleksanyan and E. Brasselet, “Vortex coronagraphy from self-engineered liquid crystal spin-orbit masks,” Opt. Lett. 41, 5234–5237 (2016).
[Crossref]

2015 (15)

G. Milione, D. Nolan, and R. Alfano, “Determining principal modes in a multimode optical fiber using the mode dependent signal delay method,” J. Opt. Soc. Am. B 32, 143–149 (2015).
[Crossref]

G. Ruane, G. Swartzlander, S. Slussarenko, L. Marrucci, and M. Dennis, “Nodal areas in coherent beams,” Optica 2, 147–150 (2015).
[Crossref]

P. Gregg, M. Mirhosseini, A. Rubano, L. Marrucci, E. Karimi, R. W. Boyd, and S. Ramachandran, “Q-plates as higher order polarization controllers for orbital angular momentum modes of fiber,” Opt. Lett. 40, 1729–1732 (2015).
[Crossref]

J. Nivas, H. Shutong, K. Anoop, A. Rubano, R. Fittipaldi, A. Vecchione, D. Paparo, L. Marrucci, R. Bruzzese, and S. Amoruso, “Laser ablation of silicon induced by a femtosecond optical vortex beam,” Opt. Lett. 40, 4611–4614 (2015).
[Crossref]

L. Yan, P. Gregg, E. Karimi, A. Rubano, L. Marrucci, R. Boyd, and S. Ramachandran, “Q-plate enabled spectrally diverse orbital-angular-momentum conversion for stimulated emission depletion microscopy,” Optica 2, 900–903 (2015).
[Crossref]

B. Piccirillo, S. Slussarenko, L. Marrucci, and E. Santamato, “Directly measuring mean and variance of infinite-spectrum observables such as the photon orbital angular momentum,” Nat. Commun. 6, 8606 (2015).
[Crossref]

J. Nivas, S. He, A. Rubano, A. Vecchione, D. Paparo, L. Marrucci, R. Bruzzese, and S. Amoruso, “Direct femtosecond laser surface structuring with optical vortex beams generated by a q-plate,” Sci. Rep. 5, 17929 (2015).
[Crossref]

M. Padgett, F. F. M. Miatto, M. Lavery, A. Zeilinger, and R. Boyd, “Divergence of an orbital-angular-momentum-carrying beam upon propagation,” New J. Phys. 17, 023011 (2015).
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V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, and J. Laurat, “Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory,” Nat. Commun. 6, 7706 (2015).
[Crossref]

V. D’Ambrosio, F. Baccari, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Arbitrary, direct and deterministic manipulation of vector beams via electrically-tuned q-plates,” Sci. Rep. 5, 7840 (2015).
[Crossref]

O. Farias, V. D’Ambrosio, C. Taballione, F. Bisesto, S. Slussarenko, L. Aolita, L. Marrucci, S. Walborn, and F. Sciarrino, “Resilience of hybrid optical angular momentum qubits to turbulence,” Sci. Rep. 5, 8424 (2015).
[Crossref]

T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R. Boyd, and G. Leuchs, “Observation of optical polarization mobius strips,” Science 347, 964–966 (2015).
[Crossref]

F. Cardano, F. Massa, H. Qassim, E. Karimi, S. Slussarenko, D. Paparo, C. de Lisio, F. Sciarrino, E. Santamato, R. W. Boyd, and L. Marrucci, “Quantum walks and wavepacket dynamics on a lattice with twisted photons,” Sci. Adv. 1, e1500087 (2015).
[Crossref]

F. Cardano and L. Marrucci, “Spin-orbit photonics,” Nat. Photonics 9, 776–778 (2015).
[Crossref]

L. Dominici, G. Dagvadorj, J. Fellows, D. Ballarini, M. De Giorgi, F. Marchetti, B. Piccirillo, L. Marrucci, A. Bramati, G. Gigli, M. Szymañska, and D. Sanvitto, “Vortex and half-vortex dynamics in a nonlinear spinor quantum fluid,” Sci. Adv. 1, e1500807 (2015).
[Crossref]

2014 (13)

F. Bouchard, H. Mand, M. Mirhosseini, E. Karimi, and R. W. Boyd, “Achromatic orbital angular momentum generator,” New J. Phys. 16, 123006 (2014).
[Crossref]

E. Karimi, S. A. Schulz, I. De Leon, H. Qassim, J. Upham, and R. W. Boyd, “Generating optical orbital angular momentum at visible wavelengths using a plasmonic metasurface,” Light: Sci. Appl. 3, e167 (2014).
[Crossref]

B. Neuenschwander, B. Jaeggi, M. Schmid, and G. Hennig, “Surface structuring with ultra-short laser pulses: basics, limitations and needs for high throughput,” Phys. Procedia 56, 1047–1058 (2014).
[Crossref]

K. Anoop, R. Fittipaldi, A. Rubano, X. Wang, D. Paparo, A. Vecchione, L. Marrucci, R. Bruzzese, and S. Amoruso, “Direct femtosecond laser ablation of copper with an optical vortex beam,” J. Appl. Phys. 116, 113102 (2014).
[Crossref]

K. Anoop, A. Rubano, R. Fittipaldi, X. Wang, D. Paparo, A. Vecchione, L. Marrucci, R. Bruzzese, and S. Amoruso, “Femtosecond laser surface structuring of silicon using optical vortex beams generated by a q-plate,” Appl. Phys. Lett. 104, 241604 (2014).
[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across vienna,” New J. Phys. 16, 113028 (2014).
[Crossref]

E. Karimi, F. Cardano, M. Maffei, C. De Lisio, L. Marrucci, R. Boyd, and E. Santamato, “Hardy’s paradox tested in the spin-orbit Hilbert space of single photons,” Phys. Rev. A 89, 032122 (2014).
[Crossref]

A. Valles, V. D’Ambrosio, M. Hendrych, M. Micuda, L. Marrucci, F. Sciarrino, and J. Torres, “Generation of tunable entanglement and violation of a bell-like inequality between different degrees of freedom of a single photon,” Phys. Rev. A 90, 052326 (2014).
[Crossref]

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref]

P. Shumyatsky, G. Milione, and R. Alfano, “Optical memory effect from polarized Laguerre-Gaussian light beam in light-scattering turbid media,” Opt. Commun. 321, 116–123 (2014).
[Crossref]

T. Bauer, S. Orlov, U. Peschel, P. Banzer, and G. Leuchs, “Nanointerferometric amplitude and phase reconstruction of tightly focused vector beams,” Nat. Photonics 8, 23–27 (2014).
[Crossref]

C. Loussert, K. Kushnir, and E. Brasselet, “Q-plates micro-arrays for parallel processing of the photon orbital angular momentum,” Appl. Phys. Lett. 105, 121108 (2014).
[Crossref]

Y. Ren, G. Xie, H. Huang, N. Ahmed, Y. Yan, L. Li, C. Bao, M. Lavery, M. Tur, M. Neifeld, R. Boyd, J. Shapiro, and A. Willner, “Adaptive-optics-based simultaneous pre-and post-turbulence compensation of multiple orbital-angular-momentum beams in a bidirectional free-space optical link,” Optica 1, 376–382 (2014).
[Crossref]

2013 (10)

F. Cardano, E. Karimi, L. Marrucci, C. De Lisio, and E. Santamato, “Generation and dynamics of optical beams with polarization singularities,” Opt. Express 21, 8815–8820 (2013).
[Crossref]

R. Chen, K. Agarwal, C. Sheppard, and X. Chen, “Imaging using cylindrical vector beams in a high numerical-aperture microscopy system,” Opt. Lett. 38, 3111–3114 (2013).
[Crossref]

Y. Rumala, G. Milione, T. Nguyen, S. Pratavieira, Z. Hossain, D. Nolan, S. Slussarenko, E. Karimi, L. Marrucci, and R. Alfano, “Tunable supercontinuum light vector vortex beam generator using a q-plate,” Opt. Lett. 38, 5083–5086 (2013).
[Crossref]

V. D’Ambrosio, E. Herbauts, I. Amselem, E. Nagali, M. Bourennane, F. Sciarrino, and A. Cabello, “Experimental implementation of a Kochen-Specker set of quantum tests,” Phys. Rev. X 3, 011012 (2013).
[Crossref]

K. Toyoda, F. Takahashi, S. Takizawa, Y. Tokizane, K. Miyamoto, R. Morita, and T. Omatsu, “Transfer of light helicity to nanostructures,” Phys. Rev. Lett. 110, 143603 (2013).
[Crossref]

A. Ambrosio, P. Maddalena, and L. Marrucci, “Molecular model for light-driven spiral mass transport in azopolymer films,” Phys. Rev. Lett. 110, 146102 (2013).
[Crossref]

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. Kwek, L. Marrucci, S. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

S. Slussarenko, B. Piccirillo, V. Chigrinov, L. Marrucci, and E. Santamato, “Liquid crystal spatial-mode converters for the orbital angular momentum of light,” J. Opt. 15, 025406 (2013).
[Crossref]

L. Marrucci, “The q-plate and its future,” J. Nanophoton. 7, 078598 (2013).
[Crossref]

F. Cardano, E. Karimi, L. Marrucci, C. De Lisio, and E. Santamato, “Violation of Leggett-type inequalities in the spin-orbit degrees of freedom of a single photon,” Phys. Rev. A 88, 032101 (2013).
[Crossref]

2012 (8)

T. Kitagawa, M. Broome, A. Fedrizzi, M. Rudner, I. Berg, E. Kassal, A. Aspuru-Guzik, E. Demler, and A. White, “Observation of topologically protected bound states in photonic quantum walks,” Nat. Commun. 3, 882 (2012).
[Crossref]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Two-particle bosonic-fermionic quantum walk via integrated photonics,” Phys. Rev. Lett. 108, 010502 (2012).
[Crossref]

A. Schreiber, A. Gabris, P. P. Rohde, K. Laiho, M. Stefanak, V. Potocek, C. Hamilton, I. Jex, and C. Silberhorn, “A 2D quantum walk simulation of two-particle dynamics,” Science 336, 55–58 (2012).
[Crossref]

A. Ambrosio, L. Marrucci, F. Borbone, A. Roviello, and P. Maddalena, “Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination,” Nat. Commun. 3, 989 (2012).
[Crossref]

V. D’Ambrosio, E. Nagali, S. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3, 961–968 (2012).
[Crossref]

K. Lou, S.-X. Qian, X.-L. Wang, Y. Li, B. Gu, C. Tu, and H.-T. Wang, “Two-dimensional microstructures induced by femtosecond vector light fields on silicon,” Opt. Express 20, 120–127 (2012).
[Crossref]

E. Karimi, L. Marrucci, C. De Lisio, and E. Santamato, “Time-division multiplexing of the orbital angular momentum of light,” Opt. Lett. 37, 127–129 (2012).
[Crossref]

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. De Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[Crossref]

2011 (3)

S. Slussarenko, A. Murauski, T. Du, V. Chigrinov, L. Marrucci, and E. Santamato, “Tunable liquid crystal q-plates with arbitrary topological charge,” Opt. Express 19, 4085–4090 (2011).
[Crossref]

X. Qi and S. Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83, 1057–1110 (2011).
[Crossref]

G. Tosi, F. Marchetti, D. Sanvitto, C. Antón, M. Szymańska, A. Berceanu, C. Tejedor, L. Marrucci, A. Lematre, J. Bloch, and L. Viña, “Onset and dynamics of vortex-antivortex pairs in polariton optical parametric oscillator superfluids,” Phys. Rev. Lett. 107, 036401 (2011).
[Crossref]

2010 (6)

T. Kitagawa, M. S. Rudner, E. Berg, and E. Demler, “Exploring topological phases with quantum walks,” Phys. Rev. A 82, 033429 (2010).
[Crossref]

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, “Photon spin-to-orbital angular momentum conversion via an electrically tunable q-plate,” Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Worhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. OBrien, “Quantum walks of correlated photons,” Science 329, 1500–1503 (2010).
[Crossref]

P. Zhang, B.-H. Liu, R.-F. Liu, H.-R. Li, F.-L. Li, and G.-C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 81, 052322 (2010).
[Crossref]

B. Roxworthy and K. Toussaint, “Optical trapping with π-phase cylindrical vector beams,” New J. Phys. 12, 073012 (2010).
[Crossref]

L. Wong and F. Kartner, “Direct acceleration of an electron in infinite vacuum by a pulsed radially-polarized laser beam,” Opt. Express 18, 25035–25051 (2010).
[Crossref]

2009 (2)

W. Cheng, J. Haus, and Q. Zhan, “Propagation of vector vortex beams through a turbulent atmosphere,” Opt. Express 17, 17829–17836 (2009).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Optimal quantum cloning of orbital angular momentum photon qubits through Hong-Ou-Mandel coalescence,” Nat. Photonics 3, 720–723 (2009).
[Crossref]

2008 (2)

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. Chong, “Creation of a needle of longitudinally polarized light in vacuum using binary optics,” Nat. Photonics 2, 501–505 (2008).
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2002 (3)

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S. Slussarenko, A. Alberucci, C. P. Jisha, B. Piccirillo, E. Santamato, G. Assanto, and L. Marrucci, “Guiding light via geometric phases,” Nat. Photonics 10, 571–575 (2016).
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Alfano, R.

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J. Nivas, E. Allahyari, F. Cardano, A. Rubano, R. Fittipaldi, A. Vecchione, D. Paparo, L. Marrucci, R. Bruzzese, and S. Amoruso, “Surface structures with unconventional patterns and shapes generated by femtosecond structured light fields,” Sci. Rep. 8, 13613 (2018).
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H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
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A. Ambrosio, L. Marrucci, F. Borbone, A. Roviello, and P. Maddalena, “Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination,” Nat. Commun. 3, 989 (2012).
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K. Anoop, R. Fittipaldi, A. Rubano, X. Wang, D. Paparo, A. Vecchione, L. Marrucci, R. Bruzzese, and S. Amoruso, “Direct femtosecond laser ablation of copper with an optical vortex beam,” J. Appl. Phys. 116, 113102 (2014).
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G. Tosi, F. Marchetti, D. Sanvitto, C. Antón, M. Szymańska, A. Berceanu, C. Tejedor, L. Marrucci, A. Lematre, J. Bloch, and L. Viña, “Onset and dynamics of vortex-antivortex pairs in polariton optical parametric oscillator superfluids,” Phys. Rev. Lett. 107, 036401 (2011).
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O. Farias, V. D’Ambrosio, C. Taballione, F. Bisesto, S. Slussarenko, L. Aolita, L. Marrucci, S. Walborn, and F. Sciarrino, “Resilience of hybrid optical angular momentum qubits to turbulence,” Sci. Rep. 5, 8424 (2015).
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V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. Kwek, L. Marrucci, S. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
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V. Parigi, V. D’Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, and J. Laurat, “Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory,” Nat. Commun. 6, 7706 (2015).
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T. Kitagawa, M. Broome, A. Fedrizzi, M. Rudner, I. Berg, E. Kassal, A. Aspuru-Guzik, E. Demler, and A. White, “Observation of topologically protected bound states in photonic quantum walks,” Nat. Commun. 3, 882 (2012).
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C. P. Jisha, A. Alberucci, L. Marrucci, and G. Assanto, “Interplay between diffraction and the Pancharatnam-Berry phase in inhomogeneously twisted anisotropic media,” Phys. Rev. A 95, 023823 (2017).
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S. Slussarenko, A. Alberucci, C. P. Jisha, B. Piccirillo, E. Santamato, G. Assanto, and L. Marrucci, “Guiding light via geometric phases,” Nat. Photonics 10, 571–575 (2016).
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A. Alberucci, C. P. Jisha, L. Marrucci, and G. Assanto, “Electromagnetic confinement via spin-orbit interaction in anisotropic dielectrics,” ACS Photon. 3, 2249–2254 (2016).
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V. D’Ambrosio, F. Baccari, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Arbitrary, direct and deterministic manipulation of vector beams via electrically-tuned q-plates,” Sci. Rep. 5, 7840 (2015).
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H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
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T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R. Boyd, and G. Leuchs, “Observation of optical polarization mobius strips,” Science 347, 964–966 (2015).
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T. Bauer, S. Orlov, U. Peschel, P. Banzer, and G. Leuchs, “Nanointerferometric amplitude and phase reconstruction of tightly focused vector beams,” Nat. Photonics 8, 23–27 (2014).
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J. Bonse, S. Baudach, J. Krüger, W. Kautek, and M. Lenzner, “Femtosecond laser ablation of silicon-modification thresholds and morphology,” Appl. Phys. Lett. 74, 19–25 (2002).
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H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
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T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R. Boyd, and G. Leuchs, “Observation of optical polarization mobius strips,” Science 347, 964–966 (2015).
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T. Bauer, S. Orlov, U. Peschel, P. Banzer, and G. Leuchs, “Nanointerferometric amplitude and phase reconstruction of tightly focused vector beams,” Nat. Photonics 8, 23–27 (2014).
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H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
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H. Rubinsztein-Dunlop, A. Forbes, M. Berry, M. Dennis, D. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. Litchinitser, N. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. Torres, T. Neely, M. Baker, R. Gordon, A. Stilgoe, J. Romero, A. White, R. Fickler, A. Willner, G. Xie, B. McMorran, and A. Weiner, “Roadmap on structured light,” J. Opt. 19, 13001 (2017).
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Bisesto, F.

O. Farias, V. D’Ambrosio, C. Taballione, F. Bisesto, S. Slussarenko, L. Aolita, L. Marrucci, S. Walborn, and F. Sciarrino, “Resilience of hybrid optical angular momentum qubits to turbulence,” Sci. Rep. 5, 8424 (2015).
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J. Bonse, S. Baudach, J. Krüger, W. Kautek, and M. Lenzner, “Femtosecond laser ablation of silicon-modification thresholds and morphology,” Appl. Phys. Lett. 74, 19–25 (2002).
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A. Ambrosio, L. Marrucci, F. Borbone, A. Roviello, and P. Maddalena, “Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination,” Nat. Commun. 3, 989 (2012).
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V. D’Ambrosio, E. Herbauts, I. Amselem, E. Nagali, M. Bourennane, F. Sciarrino, and A. Cabello, “Experimental implementation of a Kochen-Specker set of quantum tests,” Phys. Rev. X 3, 011012 (2013).
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L. Yan, P. Gregg, E. Karimi, A. Rubano, L. Marrucci, R. Boyd, and S. Ramachandran, “Q-plate enabled spectrally diverse orbital-angular-momentum conversion for stimulated emission depletion microscopy,” Optica 2, 900–903 (2015).
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A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Worhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. OBrien, “Quantum walks of correlated photons,” Science 329, 1500–1503 (2010).
[Crossref]

Other (4)

A. D’Errico, F. Cardano, M. Maffei, A. Dauphin, R. Barboza, C. Esposito, B. Piccirillo, M. Lewenstein, P. Massignan, and L. Marrucci, “Two-dimensional topological quantum walks in the momentum space of structured light,” arXiv:1811.04001 (2018).

S. Musazzi and U. E. Perini, Laser-Induced Breakdown Spectroscopy, Series in Optical Sciences (Springer, 2014).

D. Chrisey and G. E. Hubler, Pulsed Laser Deposition of Thin Films (Wiley, 1994).

R. Black and L. Gagnon, Optical Waveguide Modes: Polarization, Coupling and Symmetry (McGraw-Hill, 2009).

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Figures (14)

Fig. 1.
Fig. 1. Explosion of the q -plate layers (a) and a crossed-polarizer image of a real device (b). The lateral size is about 2 cm.
Fig. 2.
Fig. 2. Sketch of the photo-alignment setup (strongly simplified). The illuminating polarization and the cell are both rotated in time with independent step-wise angular velocity, as indicated by arrows.
Fig. 3.
Fig. 3. Experimental configuration for q -plate tuning (a) and the results observed on the two output channels (b). P1,2, polarizing beamsplitters; WP1,2 quarter-wave plates; QP, q -plate.
Fig. 4.
Fig. 4. Q -plate working principle; a pictorial representation of Eq. (2) in the optimal case δ = π (reprinted with permission from Ref. [18]).
Fig. 5.
Fig. 5. Two-color beam generated by a q -plate and used for STED nanoscopy, on the transverse and axial planes (a) and the corresponding free-space separate beams (b). Panel (c) shows a cut on the transverse plane along the central line (reprinted with permission from Ref. [19]).
Fig. 6.
Fig. 6. Number of counts on the beam-splitter output as a function of beam displacement z , which is related to photon synchronization. For OAM-indistinguishable photons (solid circles) the Hong–Ou–Mandel effect takes place, as seen by increased number of counts, while for OAM-distinguishable ones (empty circles), there is no significant effect (reprinted with permission from Ref. [28]).
Fig. 7.
Fig. 7. Emitter and receiver of a quantum message encoded with standard photon polarization must share good knowledge of the relative angle of each reference frame (a). Conversely, by combining polarization and transverse modes (b), it is possible to build two rotation-invariant (vanishing total angular momentum) orthogonal states (c), which can be used for rotation-invariant quantum communication (reprinted with permission from Ref. [32]).
Fig. 8.
Fig. 8. Schematic representation of the quantum walk setup in which OAM modes are used to encode the walker position on the lattice. Q -plates are exploited to introduce the suitable quantum walk dynamics (reprinted with permission from Ref. [39]).
Fig. 9.
Fig. 9. Polarization topological structure generated by a q -plate with q = 1 / 2 and δ = π for H-linear (a) and V-linear (b) input polarizations (adapted from Ref. [52]). (c) Polarization-singular beams obtained when shining a q -plate with δ = π / 2 and q = 1 / 2 (lemon and star) and q = 1 (spiral); see Ref. [53]. The colormap brightness represents experimental beam intensity; the reconstructed experimental local polarization state is represented with small polarization ellipses.
Fig. 10.
Fig. 10. Concept of the laser cavity for producing vector beams: Nd:YAG, active crystal; R1,2, end mirrors of the cavity; PBS, polarizing beam splitter; FM, polarization-insensitive out-coupling mirror; QWPs quarter-wave plates; QPs, q -plates (the angles in Greek letters correspond to the optical axis orientation for each optics). The pictures in the blue field show a colormap of the intensity pattern at each branch of the cavity. White arrows represent the polarization state according to the legend. In the actual V-shaped cavity, the two cavity branches were exploiting the same optical components with a small angular difference in the beam path (reprinted with permission Ref. [68]).
Fig. 11.
Fig. 11. Experimental scheme for the vortex beam quantum memory. QP, q -plate; HWP and QWP, half- and quarter-wave plates, respectively; PBS, polarizing beam splitter; SM fiber, single-mode fiber, SPCM, single-photon counting module; MOT, magnetic optical trap where the information is stored in a cold atoms ensemble. The levels diagram (a) and delayed retrieval of the signal (b) are shown in the insets (reprinted with permission from Ref. [75]).
Fig. 12.
Fig. 12. Spirals with opposite handedness revealed by atomic force microscopy can be written on azo-polymer surfaces by means of two opposite handedness vortex beams with m = + 10 (left panel) and m = 10 (right panel). White arrows indicate the linear polarization of the beams. Scale bars represent the length of 1 μm (reprinted with permission from Ref. [83]).
Fig. 13.
Fig. 13. SEM micrograph of the target silicon surface after laser irradiation (number of pulses N = 100 , energy per pulse E 0 = 48 μJ ) with different vector beams: (a) radial, (b) azimuthal, (c) spiral, and (d) linear. The red arrows in the upper left corner represent the polarization state (reprinted with permission from Ref. [90]).
Fig. 14.
Fig. 14. Panels A and C show the expected polarization topologies in the focal plane of a highly non-paraxial vector beam with topological charges q = 1 / 2 and q = 3 / 2 , respectively. Panels B and D show the experimentally observed polarization topologies. In all plots, the major axis of the 3D polarization ellipse is represented as a function of position on a circle of 150 nm radius centered on the beam axis (shown as a dashed white or black line in the top-left insets). The four insets show the beam intensity in the focal plane. One half of the major axis of the local polarization ellipse is colored blue, and the other half is colored green, in order to better follow the twists of the polarization vector (reprinted with permission from Ref. [13].

Equations (3)

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α ( ϕ ) = q ϕ + α 0 .
{ U ^ | L = cos ( δ / 2 ) | L + i sin ( δ / 2 ) | R e + 2 i α ( ϕ ) , U ^ | R = cos ( δ / 2 ) | R + i sin ( δ / 2 ) | L e 2 i α ( ϕ ) .
α ( ϕ ) = q tan 1 [ a tan ( ϕ + γ ) ] + α 0 .

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