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Published in: Optical and Quantum Electronics 13/2023

01-12-2023

Effects of dual cross Kerr non-linearity on the manipulation of rotary photon drag

Authors: Kamran Ali, Muhammad Idrees, Bakht Amin Bacha, Arif Ullah, Muhammad Haneef

Published in: Optical and Quantum Electronics | Issue 13/2023

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Abstract

In this article we have theoretically investigated the rotary photon drag without and in the presence of single and dual cross-Kerr nonlinearity in a four-level atomic medium. The dynamics of the atomic medium are derived using the density matrix method. We have investigated that the single Kerr nonlinear effect gradually enhanced the rotary photon drag, while dual Kerr nonlinear effects largely enhanced the rotary photon drags (\(\pm 1000 \,\upmu \rm{rad}\)) for significant technological application. Furthermore, we have studied larger group index under the effect of single and dual cross Kerr nonlinearity (\(n_{gkk}>>n_{gk}>n_g\)). Likewise, we have also investigated delay time without and with single and dual cross-Kerr nonlinearity. We have observed \(2\upmu \rm{s}\) delay time without the Kerr effect, while \(3.2\upmu \rm{s} \) and 50 µs delay time in the presence of single and dual cross Kerr nonlinearity. These results may have potential useful applications in the fields of quantum optics, photonics, imaging designing and special modes of imaging coding technology.

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Literature
go back to reference Ali, A., Bacha, B.A., Jabar, M.A., Khan, A.A., Uddin, R., Ahmad, I.: Conductivity dependent surface plasmon polariton propagation. Laser Phys. 26(9), 095204 (2016)CrossRefADS Ali, A., Bacha, B.A., Jabar, M.A., Khan, A.A., Uddin, R., Ahmad, I.: Conductivity dependent surface plasmon polariton propagation. Laser Phys. 26(9), 095204 (2016)CrossRefADS
go back to reference Allen, L., Padgett, M. J., Babiker, M.: IV The orbital angular momentum of light. In Progress in optics (Vol. 39, pp. 291-372). Elsevier, (1999) Allen, L., Padgett, M. J., Babiker, M.: IV The orbital angular momentum of light. In Progress in optics (Vol. 39, pp. 291-372). Elsevier, (1999)
go back to reference Allen, L., Beijersbergen, M.W., Spreeuw, R.J.C., Woerdman, J.P.: Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45(11), 8185–8189 (1992)CrossRefADS Allen, L., Beijersbergen, M.W., Spreeuw, R.J.C., Woerdman, J.P.: Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45(11), 8185–8189 (1992)CrossRefADS
go back to reference Allen, L., Babiker, M., Power, W.L.: Azimuthal Doppler shift in light beams with orbital angular momentum. Opt. Commun. 112(3–4), 141–144 (1994)CrossRefADS Allen, L., Babiker, M., Power, W.L.: Azimuthal Doppler shift in light beams with orbital angular momentum. Opt. Commun. 112(3–4), 141–144 (1994)CrossRefADS
go back to reference Danner, A.J., Tyc, T., Leonhardt, U.: Controlling birefringence in dielectrics. Nat. Photon. 5(6), 357–359 (2011)CrossRefADS Danner, A.J., Tyc, T., Leonhardt, U.: Controlling birefringence in dielectrics. Nat. Photon. 5(6), 357–359 (2011)CrossRefADS
go back to reference Donato, M. G., Mazzulla, A., Pagliusi, P., Magazu, A., Hernandez, R. J., Provenzano, C., Gucciardi, P. G., Marago, O. M., Cipparrone, G.: Light-induced rotations of chiral birefringent microparticles in optical tweezers. Sci. Rep. 6, 31977 (2016) Donato, M. G., Mazzulla, A., Pagliusi, P., Magazu, A., Hernandez, R. J., Provenzano, C., Gucciardi, P. G., Marago, O. M., Cipparrone, G.: Light-induced rotations of chiral birefringent microparticles in optical tweezers. Sci. Rep. 6, 31977 (2016)
go back to reference Fizeau, H.: Sur les hypotheses relatives a l’ether lumineux. Comptes Rendus. 33, 349–355 (1851) Fizeau, H.: Sur les hypotheses relatives a l’ether lumineux. Comptes Rendus. 33, 349–355 (1851)
go back to reference Franke-Arnold, S., Gibson, G., Boyd, R.W., Padgett, M.J.: Rotary photon drag enhanced by a slow-light medium. Science 333(6038), 65–67 (2011)CrossRefADS Franke-Arnold, S., Gibson, G., Boyd, R.W., Padgett, M.J.: Rotary photon drag enhanced by a slow-light medium. Science 333(6038), 65–67 (2011)CrossRefADS
go back to reference Fresnel, A.J.: Sur l’influence du mouvement terrestre dans quelques phenomenes doptique: lettre de M. Fresnel a M. Arago. Ann. Chim. Phys. 9, 57–66 (1818) Fresnel, A.J.: Sur l’influence du mouvement terrestre dans quelques phenomenes doptique: lettre de M. Fresnel a M. Arago. Ann. Chim. Phys. 9, 57–66 (1818)
go back to reference Gotte, J.B., Barnett, S.M., Padgett, M.: On the dragging of light by a rotating medium. Proc. R. Soc. A: Math. Phys. Eng. Sci. 463(2085), 2185–2194 (2007) Gotte, J.B., Barnett, S.M., Padgett, M.: On the dragging of light by a rotating medium. Proc. R. Soc. A: Math. Phys. Eng. Sci. 463(2085), 2185–2194 (2007)
go back to reference Hayatullah., Idrees, M., Bacha, B.A., Ullah, S.A., Saleh, M.: Tunable phase and angular momentum dependent enhanced rotary photon drag in a gain assisted medium. Opt. Quant. Electron. 53, 1–10 (2021) Hayatullah., Idrees, M., Bacha, B.A., Ullah, S.A., Saleh, M.: Tunable phase and angular momentum dependent enhanced rotary photon drag in a gain assisted medium. Opt. Quant. Electron. 53, 1–10 (2021)
go back to reference Idrees, M., Bacha, B.A., Javed, M., Ullah, S.A.: Precise position measurement of an atom using superposition of two standing wave fields. Laser Phys. 27, 045202 (2017)CrossRefADS Idrees, M., Bacha, B.A., Javed, M., Ullah, S.A.: Precise position measurement of an atom using superposition of two standing wave fields. Laser Phys. 27, 045202 (2017)CrossRefADS
go back to reference Idrees, M., Kalsoom, H., Bacha, B.A., Ullah, A., Wang, L.G.: Continuum and undefine hole burning regions via pulse propagation in a four-level Doppler broadened atomic system. Eur. Phys. J. Plus 135, 1–11 (2020)CrossRef Idrees, M., Kalsoom, H., Bacha, B.A., Ullah, A., Wang, L.G.: Continuum and undefine hole burning regions via pulse propagation in a four-level Doppler broadened atomic system. Eur. Phys. J. Plus 135, 1–11 (2020)CrossRef
go back to reference Idrees, M., Ullah, M., Bacha, B.A., Ullah, A., Wang, L.G.: High resolution two-dimensional atomic microscopy in a tripod-type four-level atomic medium via standing wave fields. Laser Phys. 30, 115402 (2020)CrossRefADS Idrees, M., Ullah, M., Bacha, B.A., Ullah, A., Wang, L.G.: High resolution two-dimensional atomic microscopy in a tripod-type four-level atomic medium via standing wave fields. Laser Phys. 30, 115402 (2020)CrossRefADS
go back to reference Idrees, M., Kalsoom, H., Bacha, B.A., Ullah, A., Wang, L.G.: Spatial-dependent probe transmission based high-precision two-dimensional atomic localization. Commun. Theor. Phys. 73, 045102 (2021)CrossRefADS Idrees, M., Kalsoom, H., Bacha, B.A., Ullah, A., Wang, L.G.: Spatial-dependent probe transmission based high-precision two-dimensional atomic localization. Commun. Theor. Phys. 73, 045102 (2021)CrossRefADS
go back to reference Idrees, M., Ullah, M., Bacha, B.A., Ullah, A., Wang, L.G.: High-resolution two-dimensional atomic localization via tunable surface plasmon polaritons. Plasmonics 16, 1773–1780 (2021)CrossRef Idrees, M., Ullah, M., Bacha, B.A., Ullah, A., Wang, L.G.: High-resolution two-dimensional atomic localization via tunable surface plasmon polaritons. Plasmonics 16, 1773–1780 (2021)CrossRef
go back to reference Idrees, M., Ullah, M., Wang, L.G.: Enhancement of the Goos-Hanchen shift via chiral quantum-dot molecule systems. Phys. Rev. A 108(1), 013701 (2023)CrossRefADS Idrees, M., Ullah, M., Wang, L.G.: Enhancement of the Goos-Hanchen shift via chiral quantum-dot molecule systems. Phys. Rev. A 108(1), 013701 (2023)CrossRefADS
go back to reference Iqbal, A., Khan, N., Bacha, B.A., Rahman, A.U., Ahmad, A.: Photon drag enhancement by a slow-light moving medium via electromagnetically-induced transparency amplification. Phys. Lett. A 381(36), 3134–3140 (2017)CrossRefADS Iqbal, A., Khan, N., Bacha, B.A., Rahman, A.U., Ahmad, A.: Photon drag enhancement by a slow-light moving medium via electromagnetically-induced transparency amplification. Phys. Lett. A 381(36), 3134–3140 (2017)CrossRefADS
go back to reference Jones, R.V.: Aether drag’in a transversely moving medium. Proc. R. Soc. Lond. A. Math. Phys. Sci. 345(1642), 351–364 (1975)CrossRefADS Jones, R.V.: Aether drag’in a transversely moving medium. Proc. R. Soc. Lond. A. Math. Phys. Sci. 345(1642), 351–364 (1975)CrossRefADS
go back to reference Jones, R.V.: Aether drag. Proc. R. Soc. Lond. Ser. A 349, 423–439 (1976)ADS Jones, R.V.: Aether drag. Proc. R. Soc. Lond. Ser. A 349, 423–439 (1976)ADS
go back to reference Kastel, J., Fleischhauer, M., Yelin, S.F., Walsworth, R.L.: Tunable negative refraction without absorption via electromagnetically induced chirality. Phys. Rev. Lett. 99(7), 073602 (2007)CrossRefADS Kastel, J., Fleischhauer, M., Yelin, S.F., Walsworth, R.L.: Tunable negative refraction without absorption via electromagnetically induced chirality. Phys. Rev. Lett. 99(7), 073602 (2007)CrossRefADS
go back to reference Khan, N., Bacha, B.A., Iqbal, A., Rahman, A.U., Afaq, A.: Gain-assisted superluminal propagation and rotary drag of photon and surface plasmon polaritons. Phys. Rev. A 96(1), 013848 (2017)CrossRefADS Khan, N., Bacha, B.A., Iqbal, A., Rahman, A.U., Afaq, A.: Gain-assisted superluminal propagation and rotary drag of photon and surface plasmon polaritons. Phys. Rev. A 96(1), 013848 (2017)CrossRefADS
go back to reference Khan, M., Idrees, M., Bacha, B.A., Ullah, S.A., Haneef, M.: Tunnelling based birefringent rotary photon dragging through induced chiral medium. Phys. Scr. 96, 055101 (2021)CrossRefADS Khan, M., Idrees, M., Bacha, B.A., Ullah, S.A., Haneef, M.: Tunnelling based birefringent rotary photon dragging through induced chiral medium. Phys. Scr. 96, 055101 (2021)CrossRefADS
go back to reference Kuan, P.C., Huang, C., Chan, W.S., Kosen, S., Lan, S.Y.: Large Fizeau’s light-dragging effect in a moving electromagnetically induced transparent medium. Nat. Commun. 7(1), 13030 (2016)CrossRefADS Kuan, P.C., Huang, C., Chan, W.S., Kosen, S., Lan, S.Y.: Large Fizeau’s light-dragging effect in a moving electromagnetically induced transparent medium. Nat. Commun. 7(1), 13030 (2016)CrossRefADS
go back to reference Leach, J., Wright, A.J., Gotte, J.B., Girkin, J.M., Allen, L., Franke-Arnold, S., Barnett, M.S., Padgett, M.J.: Aether drag and moving images. Phys. Rev. Lett. 100(15), 153902 (2008)CrossRefADS Leach, J., Wright, A.J., Gotte, J.B., Girkin, J.M., Allen, L., Franke-Arnold, S., Barnett, M.S., Padgett, M.J.: Aether drag and moving images. Phys. Rev. Lett. 100(15), 153902 (2008)CrossRefADS
go back to reference Patterson, T., Optical Rotatory Power. Nature 136, 454–455 (1935). Patterson, T., Optical Rotatory Power. Nature 136, 454–455 (1935).
go back to reference Lubashevsky, Y., Pan, L., Kirzhner, T., Koren, G., Armitage, N.P.: Optical birefringence and dichroism of cuprate superconductors in the THz regime. Phys. Rev. Lett. 112(14), 147001 (2014)CrossRefADS Lubashevsky, Y., Pan, L., Kirzhner, T., Koren, G., Armitage, N.P.: Optical birefringence and dichroism of cuprate superconductors in the THz regime. Phys. Rev. Lett. 112(14), 147001 (2014)CrossRefADS
go back to reference Mazets, I.E.: Double refraction in coherent media. Opt. Commun. 135(1–3), 65–70 (1997)CrossRefADS Mazets, I.E.: Double refraction in coherent media. Opt. Commun. 135(1–3), 65–70 (1997)CrossRefADS
go back to reference Metcalf, H.J. and van der Straten, P.: Springer-Verlag, Laser Cooling and Trapping (1999) Metcalf, H.J. and van der Straten, P.: Springer-Verlag, Laser Cooling and Trapping (1999)
go back to reference Nawab, H., Usman, M., Idrees, M., Bacha, B.A.: Rotary penetration drag of surface plasmon polaritons at atomic and nano-composite media. Opt. Quant. Electron. 53, 311 (2021)CrossRef Nawab, H., Usman, M., Idrees, M., Bacha, B.A.: Rotary penetration drag of surface plasmon polaritons at atomic and nano-composite media. Opt. Quant. Electron. 53, 311 (2021)CrossRef
go back to reference Padgett, M., Whyte, G., Girkin, J., Wright, A., Allen, L., Ohberg, P., Barnett, S.M.: Polarization and image rotation induced by a rotating dielectric rod: an optical angular momentum interpretation. Opt. Lett. 31(14), 2205–2207 (2006)CrossRefADS Padgett, M., Whyte, G., Girkin, J., Wright, A., Allen, L., Ohberg, P., Barnett, S.M.: Polarization and image rotation induced by a rotating dielectric rod: an optical angular momentum interpretation. Opt. Lett. 31(14), 2205–2207 (2006)CrossRefADS
go back to reference Plum, E., Liu, X.X., Fedotov, V.A., Chen, Y., Tsai, D.P., Zheludev, N.I.: Metamaterials: optical activity without chirality. Phys. Rev. Lett. 102(11), 113902 (2009)CrossRefADS Plum, E., Liu, X.X., Fedotov, V.A., Chen, Y., Tsai, D.P., Zheludev, N.I.: Metamaterials: optical activity without chirality. Phys. Rev. Lett. 102(11), 113902 (2009)CrossRefADS
go back to reference Radzig, A. A., Smirnov, B. M.: Reference data on atoms, molecules, and ions (Vol. 31). Springer Science and Business Media, (2012) Radzig, A. A., Smirnov, B. M.: Reference data on atoms, molecules, and ions (Vol. 31). Springer Science and Business Media, (2012)
go back to reference Safari, A., De Leon, I., Mirhosseini, M., Magana-Loaiza, O.S., Boyd, R.W.: Light-drag enhancement by a highly dispersive rubidium vapor. Phys. Rev. Lett. 116(1), 013601 (2016)CrossRefADS Safari, A., De Leon, I., Mirhosseini, M., Magana-Loaiza, O.S., Boyd, R.W.: Light-drag enhancement by a highly dispersive rubidium vapor. Phys. Rev. Lett. 116(1), 013601 (2016)CrossRefADS
go back to reference Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997) Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)
go back to reference Sofikitis, D., Bougas, L., Katsoprinakis, G.E., Spiliotis, A.K., Loppinet, B., Rakitzis, T.P.: Evanescent-wave and ambient chiral sensing by signal-reversing cavity ringdown polarimetry. Nature 514(7520), 76–79 (2014)CrossRefADS Sofikitis, D., Bougas, L., Katsoprinakis, G.E., Spiliotis, A.K., Loppinet, B., Rakitzis, T.P.: Evanescent-wave and ambient chiral sensing by signal-reversing cavity ringdown polarimetry. Nature 514(7520), 76–79 (2014)CrossRefADS
go back to reference Tang, Y., Cohen, A.E.: Optical chirality and its interaction with matter. Phys. Rev. Lett. 104(16), 163901 (2010)CrossRefADS Tang, Y., Cohen, A.E.: Optical chirality and its interaction with matter. Phys. Rev. Lett. 104(16), 163901 (2010)CrossRefADS
go back to reference Ullah, N., Idrees, M., Ullah, M., Bacha, B.A., Ullah, A., Haneef, M.: High resolution two-dimensional atomic microscopy via superposition of three probe coherences and three standing wave fields. Opt. Quant. Electron. 53, 1–12 (2021)CrossRef Ullah, N., Idrees, M., Ullah, M., Bacha, B.A., Ullah, A., Haneef, M.: High resolution two-dimensional atomic microscopy via superposition of three probe coherences and three standing wave fields. Opt. Quant. Electron. 53, 1–12 (2021)CrossRef
go back to reference Wisniewski-Barker, E., Gibson, G., Franke-Arnold, S., Shi, Z., Narum, P., Boyd, R. W., Padgett, M. J.: Slow light in ruby: delaying energy beyond the input pulse. In Slow Light, Fast Light, and Opto-Atomic Precision Metrology VIII (Vol. 9378, pp. 14-21). SPIE, (2015, March) Wisniewski-Barker, E., Gibson, G., Franke-Arnold, S., Shi, Z., Narum, P., Boyd, R. W., Padgett, M. J.: Slow light in ruby: delaying energy beyond the input pulse. In Slow Light, Fast Light, and Opto-Atomic Precision Metrology VIII (Vol. 9378, pp. 14-21). SPIE, (2015, March)
go back to reference Wisniewski-Barker, E., Gibson, G.M., Franke-Arnold, S., Shi, Z., Narum, P., Boyd, R.W., Padgett, M.J.: Experimental investigation of the transient dynamics of slow light in ruby. New J. Phys. 16(12), 123054 (2014)CrossRefADS Wisniewski-Barker, E., Gibson, G.M., Franke-Arnold, S., Shi, Z., Narum, P., Boyd, R.W., Padgett, M.J.: Experimental investigation of the transient dynamics of slow light in ruby. New J. Phys. 16(12), 123054 (2014)CrossRefADS
Metadata
Title
Effects of dual cross Kerr non-linearity on the manipulation of rotary photon drag
Authors
Kamran Ali
Muhammad Idrees
Bakht Amin Bacha
Arif Ullah
Muhammad Haneef
Publication date
01-12-2023
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 13/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05443-y

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