Abstract
We address the superluminal propagation of light in a four-level atomic medium. The superluminal propagation of the probe field is controlled and modified by the strength and waists of control driving fields. Around the origin of Laguerre coordinates in the x, y plane, localized depth of absorption and localized peaks of dispersion are noticed. The localized depth of absorption and dispersion can be narrowed and broadened by changing the beam waist. Increasing the beam waist, we observed broadening in the width of localized absorption and dispersion. Negative group index from \(-\,10\) to \(-\,20\) and negative group velocity from \(-\,0.06\) to \(-\,0.12\) c are observed at the low beam waist. At high beam waist, group index and group velocity remain the same which shows superluminal behaviour in this region. The modified results show potential applications in gravitational wave detection, soliton radar system and speeding up computer processing.
Similar content being viewed by others
Data Availability Statement
This paper is theoretical research and has no associated data.
References
R.Y. Chiao, J. Boyce, Superluminality, parelectricity, and Earnshaws theorem in media with inverted populations. Phys. Rev. Lett. 73(25), 3383 (1994)
R.Y. Chiao, A.M. Steinberg, Vi: Tunneling times and superluminality. Ser. Prog. Opt. 37, 345–405 (1997)
S. Chu, S. Wong, Linear pulse propagation in an absorbing medium. Phys. Rev. Lett. 48(11), 738 (1982)
L.J. Wang, A. Kuzmich, Dogariu enGain-assisted superluminal light propagation. enNature 406(6793), 277–279 (2000)
M.A.I. Talukder, Y. Amagishi, M. Tomita, Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium. Phys. Rev. Lett 86, 3546–3549 (2001). https://doi.org/10.1103/PhysRevLett.86.3546
A. Haché, L. Poirier, enAnomalous dispersion and superluminal group velocity in a coaxial photonic crystal theory and experiment. enPhys. Rev. E Stat. Nonlinear Soft Matter Phys. 65(3(Pt 2B)), 036608 (2002)
G . Nimtz, Superluminal signal velocity. Annalen der Physik(7) 7–8, 618–624 (1998). https://doi.org/10.1002/(SICI)1521-3889(199812)7:7/8<618::AID-ANDP618>3.0.CO;2-P
M. Bajcsy, S. Hofferberth, V. Balic, T. Peyronel, M. Hafezi, A.S. Zibrov, V. Vuletic, M.D. Lukin, Efficient all-optical switching using slow light within a hollow fiber. Phys. Rev. Lett. 102, 203902 (2009). https://doi.org/10.1103/PhysRevLett.102.203902
M. Lukin, A. Imamoğlu, Controlling photons using electromagnetically induced transparency. Nature 413(6853), 273–276 (2001)
C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, enObservation of coherent optical information storage in an atomic medium using halted light pulses. enNature 409(6819), 490–493 (2001)
S.E. Harris, L.V. Hau, Nonlinear optics at low light levels. Phys. Rev. Lett. 82, 4611–4614 (1999). https://doi.org/10.1103/PhysRevLett.82.4611
M.M. Kash, V.A. Sautenkov, A.S. Zibrov, L. Hollberg, G.R. Welch, M.D. Lukin, Y. Rostovtsev, E.S. Fry, M.O. Scully, Ultraslow group velocity and enhanced nonlinear optical effects in a coherently driven hot atomic gas. Phys. Rev. Lett. 82, 5229–5232 (1999). https://doi.org/10.1103/PhysRevLett.82.5229
L.M. Duan, M.D. Lukin, J.I. Cirac, P. Zoller, enLong-distance quantum communication with atomic ensembles and linear optics. Nature 414(6862), 413–418 (2001)
A.B. Mirza, S. Singh, Subluminal and superluminal light propagation via electromagnetically induced transparency in radiatively and inhomogeneously broadened media. J. Mod. Opt. 64(7), 716–724 (2017). https://doi.org/10.1080/09500340.2016.1260173
G. Alzetta, Induced transparency. Phys. Today 50(7), 36–42 (1997)
S.E. Harris, J. Field, A. Imamoğlu, Nonlinear optical processes using electromagnetically induced transparency. Phys. Rev. Lett. 64(10), 1107 (1990)
H.-M. Li, S.-B. Liu, S.-Y. Liu, H.-F. Zhang, Electromagnetically induced transparency with large group index induced by simultaneously exciting the electric and the magnetic resonance. Appl. Phys. Lett. 105(13), 133514 (2014)
Q.-H. Guo, M. Kang, T.-F. Li, H.-X. Cui, J. Chen, Slow light from sharp dispersion by exciting dark photonic angular momentum states. Opt. Lett. 38(3), 250–252 (2013)
A. Dogariu, A. Kuzmich, L.J. Wang, Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity. Phys. Rev. A 63, 053806 (2001). https://doi.org/10.1103/PhysRevA.63.053806
A.M. Steinberg, R.Y. Chiao, Dispersionless, highly superluminal propagation in a medium with a gain doublet. Phys. Rev. A 49(3), 2071 (1994)
E.L. Bolda, J.C. Garrison, R.Y. Chiao, Optical pulse propagation at negative group velocities due to a nearby gain line. Phys. Rev. A 49, 2938–2947 (1994). https://doi.org/10.1103/PhysRevA.49.2938
M.D. Stenner, D.J. Gauthier, Pump-beam-instability limits to Raman-gain-doublet fast-light pulse propagation. Phys. Rev. A 67(6), 063801 (2003)
G. Pati, M. Salit, K. Salit, M. Shahriar, Simultaneous slow and fast light effects using probe gain and pump depletion via Raman gain in atomic vapor. Opt. Express 17(11), 8775–8780 (2009)
J. Zhang, G. Hernandez, Y. Zhu, Copropagating superluminal and slow light manifested by electromagnetically assisted nonlinear optical processes. Opt. Lett. 31(17), 2598–2600 (2006)
A.B. Mirza, S. Singh, Subluminal and superluminal light propagation via electromagnetically induced transparency in radiatively and inhomogeneously broadened media. J. Mod. Opt. 64(7), 716–724 (2017)
L.V. Hau, S.E. Harris, Z. Dutton, C.H. Behroozi, enLight speed reduction to 17 metres per second in an ultracold atomic gas. enNature 397(6720), 594–598 (1999)
J. Li, J. Liu, X. Yang, enSuperluminal optical soliton via resonant tunneling in coupled quantum dots. enPhysica E Low Dimens. Syst. Nanostruct. 40(9), 2916–2920 (2008)
S.H. Kazemi, M.A. Maleki, M. Mahmoudi, Absorption-free superluminal light propagation in a landau-quantized graphene. AIP Adv. 8(7), 075023 (2018)
Z. AminiSabegh, A. Vafafard, M.A. Maleki, M. Mahmoudi, Superluminal pulse propagation and amplification without inversion of microwave radiation via four-wave mixing in superconducting phase quantum circuits. Laser Phys. Lett. 12(8), 085202 (2015)
M. Mahmoudi, J. Evers, Light propagation through closed-loop atomic media beyond the multiphoton resonance condition. Phys. Rev. A 74, 063827 (2006). https://doi.org/10.1103/PhysRevA.74.063827
K. Saaidi, B. Ruzbahani, W. Rabiei, M. Mahmoudi, Absorption-free superluminal light propagation in a v-type system. Armen J. Phys. 4, 01 (2010)
G. Juzeliünas and P. Öhberg, Slow light in degenerate fermi gases. Phys. Rev. Lett. 93, 033602 (2004). https://doi.org/10.1103/PhysRevLett.93.033602
Z. AminiSabegh, M.A. Maleki, M. Mahmoudi, enMicrowave-induced orbital angular momentum transfer. enSci. Rep. 9(1), 3519 (2019)
Z.A. Sabegh, M. Mahmoudi, Superluminal light propagation in a normal dispersive medium. Opt. Express 29(13), 20463–20476 (2021)
D. Solli, C.F. McCormick, R.Y. Chiao, J.M. Hickmann, Experimental observation of superluminal group velocities in bulk two-dimensional photonic bandgap crystals. IEEE J. Sel. Top. Quantum Electron. 9, 40–42 (2003)
W. Zhang, F. Gao, G. Zhang, W. Li, X. Zhang, J. Xu, Experimental observation of subluminal and superluminal light propagation in rhodamine 6g-doped polymethyl methacrylate. Appl. Phys. Lett. 95(17), 171106 (2009). https://doi.org/10.1063/1.3254229
Acknowledgements
This research has been funded by Scientific Research Deanship at University of Ha’il-Saudi Arabia through Project Number RG-21 063.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor 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.
About this article
Cite this article
Ullah, S., Akbar, J., Qureshi, M.T. et al. Laguerre fields strength and beam waist-dependent superluminal propagation of light pulse in atomic medium. Eur. Phys. J. Plus 137, 963 (2022). https://doi.org/10.1140/epjp/s13360-022-03074-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-022-03074-y