Skip to main content
Log in

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

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Availability of data and materials

No Data is associated with the manuscript.

References

  • 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)

    Article  ADS  Google Scholar 

  • 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., 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Danner, A.J., Tyc, T., Leonhardt, U.: Controlling birefringence in dielectrics. Nat. Photon. 5(6), 357–359 (2011)

    Article  ADS  Google Scholar 

  • 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)

  • Fizeau, H.: Sur les hypotheses relatives a l’ether lumineux. Comptes Rendus. 33, 349–355 (1851)

    Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

  • 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)

  • 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)

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Jones, R.V.: Aether drag’in a transversely moving medium. Proc. R. Soc. Lond. A. Math. Phys. Sci. 345(1642), 351–364 (1975)

    Article  ADS  Google Scholar 

  • Jones, R.V.: Aether drag. Proc. R. Soc. Lond. Ser. A 349, 423–439 (1976)

    ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Patterson, T., Optical Rotatory Power. Nature 136, 454–455 (1935).

  • 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)

    Article  ADS  Google Scholar 

  • Mazets, I.E.: Double refraction in coherent media. Opt. Commun. 135(1–3), 65–70 (1997)

    Article  ADS  Google Scholar 

  • Metcalf, H.J. and van der Straten, P.: Springer-Verlag, Laser Cooling and Trapping (1999)

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Radzig, A. A., Smirnov, B. M.: Reference data on atoms, molecules, and ions (Vol. 31). Springer Science and Business Media, (2012)

  • 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)

    Article  ADS  Google Scholar 

  • Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

  • 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)

    Article  ADS  Google Scholar 

  • Tang, Y., Cohen, A.E.: Optical chirality and its interaction with matter. Phys. Rev. Lett. 104(16), 163901 (2010)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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.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)

    Article  ADS  Google Scholar 

Download references

Funding

No Data is associated with the manuscript.

Author information

Authors and Affiliations

Authors

Contributions

KA Writing- Original draft preparation. MI: Project administration, Supervision. BAB: Software, Methodology. MH:Visualization. AU: Conceptualization,Investigation.

Corresponding authors

Correspondence to Muhammad Idrees or Bakht Amin Bacha.

Ethics declarations

Conflict of interest

The author has no relevant financial or non-financial interests to disclose.

Ethical approval

This declaration is not applicable.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ali, K., Idrees, M., Bacha, B.A. et al. Effects of dual cross Kerr non-linearity on the manipulation of rotary photon drag. Opt Quant Electron 55, 1176 (2023). https://doi.org/10.1007/s11082-023-05443-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-023-05443-y

Keywords

Navigation