Abstract
We show group delayed phase switching of a Gaussian pulse transmitting through a thermal four-level atomic medium using relative phase of the cyclically driven one microwave and two optical fields. The present scheme explains that in the presence of the atom’s dephasing reservoir, a plane-polarized probe light through the medium exhibits double electromagnetically induced transparency (EIT). Upon tuning the relative phase of the coupling fields, the double EIT converts into two asymmetric mirror inversion-like single EIT phenomenon. In parallel, we develop an input–output theory for probing Gaussian pulse through the thermal medium with a nonlinear dispersion to generate group delay (advancement) and switching of the group delay (advancement) using the relative phase of the driving fields. For collinear driving fields, the transmission of the pulses through the medium appears irrespective of the wave-vector mismatch and Doppler broadening effect. Consequently, the group delay and the group delay phase switching perform without measurable pulse distortion.
Similar content being viewed by others
Data Availability Statement
No data associated in the manuscript.
References
M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, London, 1997)
M. Fleischhauer, A. Imamoglu, J. Marangos, Electromagnetically induced transparency: optics in coherent media. Rev. Mod. Phys. 77, 633 (2005)
S.E. Harris, J.E. Field, A. Imamoglu, Nonlinear optical processes using electromagnetically induced transparency. Phys. Rev. Lett. 64, 1107 (1990)
S.E. Harris, J.E. Field, A. Kasapi, Dispersive properties of electromagnetically induced transparency. Phys. Rev. A 46, R29 (1992)
S.E. Harris, Electromagnetically induced transparency. Phys. Today 50, 36 (1997)
K.J. Boller, A. Imamoglu, S.E. Harris, Observation of electromagnetically induced transparency. Phys. Rev. Lett. 66, 2593 (1991)
M. Xiao, Y. Li, S. Jin, J.G. Banacloche, Measurement of dispersive properties of electromagnetically induced transparency in rubidium atoms. Phys. Rev. Lett. 74, 666 (1995)
J.G. Banacloche, Y. Li, S. Jin, M. Xiao, Electromagnetically induced transparency in ladder-type in homogeneously broadened media: theory and experiment. Phys. Rev. A 51, 576 (1995)
A.B. Matsko, O. Kocharovskaya, Y. Rostovtsev, G.R. Welch, A.S. Zibrov, M.O. Scully, Slow, ultraslow, stored, and frozen light. Adv. At. Mol. Opt. Phys. 46, 191 (2001)
V. Wong, R. Boyd, C. Stroud, R. Bennink, D. Aronstein, Q-H. Park, “Quantum Electronics and Laser Science Conference, In: 2001 QELS ’01. Technical Digest. Summaries of Papers Presented pp. 30, 11–11 May, (2001)
A.H. Safavi-Naeini et al., Electromagnetically induced transparency and slow light with optomechanics. Nature 472, 69 (2011)
M.J. Akram, F. Ghafoor, F. Saif, Electromagnetically induced transparency and tunable fano resonances in hybrid optomechanics. J. Phys. B At. Mol. Opt. Phys. 48, 065502 (2015)
M.J. Akram, F. Ghafoor, M.M. Khan, F. Saif, Control of Fano resonances and slow light using Bose-Einstein condensates in a nanocavity. Phys. Rev. A 95, 023810 (2017)
A.K. Mohapatra, T.R. Jackson, C.S. Adams, Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency. Phys. Rev. Lett. 98, 113003 (2007)
M. Saffman, T.G. Walker, K. Mølmer, Quantum information with Rydberg atoms. Rev. Mod. Phys. 82, 2313 (2010)
H. Wang, D.J. Goorskey, W.H. Burkett, M. Xiao, Cavity-linewidth narrowing by means of electromagnetically induced transparency. Opt. Lett. 25, 1732 (2000)
R.P. Abel, A.K. Mohapatra, M.G. Bason, J.D. Pritchard, K.J. Weatherill, U. Raitzsch, C.S. Adams, Laser frequency stabilization to excited state transitions using electromagnetically induced transparency in a cascade system. Appl. Phys. Lett. 94, 071107 (2009)
Y.-F. Chen, Y.-M. Kao, W.-H. Lin, I.A. Yu, Phase variation and shape distortion of light pulses in electromagnetically induced transparency media. Phys. Rev. A 74, 063807 (2006)
C.-Y. Wang, Low-light-level all-optical switching. Opt. Lett. 31, 2350 (2006)
T. Chaneliere, D. Matsukevich, S. Jenkins, S. Lan, A. Kennedy, A. Kuzmich, Storage and retrieval of single photons transmitted between remote quantum memories. Nature 438, 833 (2005)
A.W. Brown, M. Xiao, All-optical switching and routing based on an electromagnetically induced absorption grating. Opt. Lett. 30, 699 (2005)
S.E. Harris, Y. Yamamoto, Photon switching by quantum interference. Phys. Rev. Lett. 81, 3611 (1998)
D. Wang, C. Liu, C. Xiao, J. Zhang, H.M.M. Alotaibi, B.C. Sanders, L.G. Wang, S. Zhu, Strong coherent light amplification with double EIT coherences. Sci. Rep. 7, 5796 (2017)
B. Kim et al., All-optical image switching in a double-\(\Lambda\) system. Opt. Express 21, 14215 (2013)
S.L. Danielsen, P.B. Hansen, K.E. Stubkjaer, Wavelength conversion in optical packet switching. J. Lightwave Technol. 16, 2095 (1998)
H. Schmidt, R.J. Ram, All-optical wavelength converter and switch based on electromagnetically induced transparency. Appl. Phys. Lett. 76, 3173 (2000)
H. Ishikawa, Ultrafast All-Optical Signal Processing Devices (Wiley, Singapore, 2008)
D. Nesset, T. Kelly, D. Marcenac, All-optical wavelength conversion using SOA nonlinearities. IEEE Commun. Mag. 36, 56 (1998)
N. Edagawa, M. Suzuki, S. Yamamoto, Novel wavelength converter using an electroabsorption modulator. IEICE Trans. Electron. E 81, 1251 (1998)
H. Yoshida, T. Mozume, A. Neogi, O. Wada, Ultrafast all-optical switching at 1.3 \(\mu\)m/1.55 \(\mu\)m using novel InGaAs/AlAsSb/InP coupled double quantum well structure for intersubband transitions. Electron. Lett. 35, 1103 (1999)
A. Neogi, T. Mozume, H. Yoshida, O. Wada, Intersubband transitions at 1.3 and 1.55 \(\mu\)m in a novel coupled InGaAs-AlAsSb double-quantum-well structure. IEEE Photon. Technol. Lett. 11, 632 (1999)
S.J.B. Yoo, Wavelength conversion technologies for WDM network applications. Lightwave Technol. 14, 955 (1996)
F. Ghafoor, R.G. Nazmitdinov, Triplet absorption spectroscopy and electromagnetically induced transparency. J. Phys. B At. Mol. Opt. Phys. 49, 175502 (2016)
G. Tiaz, A.E. Shahalyev, A. Ashiq, F. Ghafoor, Multiple color electromagnetically induced switching using a five-level atomic medium. IEEE J. Quantum Electron. 55(4), 9200110 (2019)
H.M.M. Alotaibi, B.C. Sanders, Double-double electromagnetically induced transparency with amplification. Phys. Rev. A 89, 021802(R) (2014)
A. Majumdar, M. Bajcsy, D. England, J. Vuckovic, All optical switching with a single quantum dot strongly coupled to a photonic crystal cavity. IEEE Quantum Electron. 18, 1812 (2012)
H. Kang, G. Hernandez, J. Zhang, Y. Zhu, Phase-controlled light switching at low light levels. Phys. Rev. A 73, 011802R (2006)
H. Kang, Bongjune Kim, Y.H. Park, C.H. Oh, I.W. Lee, Phase-controlled switching by interference between incoherent fields in a double-system. Opt. Express 19, 4113 (2011)
H. Tanaka, H. Niwa, K. Hayami, S. Furue, K. Nakayama, T. Kohmoto, M. Kunitomo, Y. Fukuda, Propagation of optical pulses in a resonantly absorbing medium: observation of negative velocity in Rb vapor. Phys. Rev. A 68(5), 053801 (2003)
G.S. Agarwal, T.N. Dey, S. Menon, Microwave-controlled efficient Raman sub-harmonic generation. Phys. Rev. A 64(5), 053809 (2001)
M. Sahrai, H. Tajalli, K.T. Kapale, M.S. Zubairy, Tunable phase control for subluminal to superluminal light propagation. Phys. Rev. A 70(2), 023813 (2004)
K. Kim, H.S. Moon, C. Lee, S.K. Kim, J.B. Kim, Observation of arbitrary group velocities of light from superluminal to subluminal on a single atomic transition line. Phys. Rev. A 68(1), 013810 (2003)
Bortman-Arbiv, A.D. Wilson-Gordon, H. Friedmann, Phase control of group velocity: from subluminal to superluminal light propagation. Phys. Rev. A 63, 043818 (2001)
J.K. Saaswath, K.N. Pradosh, K.V. Adwaith, B.C. Snaders, F. Bretenaker, A. Narayanani, Microwave-driven generation and group delay control of optical pulses from an ultra-dilute atomic ensemble. Opt. Express 29, 15940 (2021)
C.J. Chunnilall, I.P. Degiovanni, S. Kück, I. Müller, A.G. Sinclair, Metrology of single-photon sources and detectors: a review. Opt. Eng. 53, 081910 (2014)
L. Schweickert, K.D. Jöns, K.D. Zeuner, S.F. Covre-da-Silva, H. Huang, T. Lettner, M. Reindl, J. Zichi, R. Trotta, A. Rastelli, V. Zwiller, On-demand generation of background-free single photons from a solid-state source. Appl. Phys. Lett. 112, 093106 (2018)
X. Ding, Y. He, Z.-C. Duan, N. Gregersen, M.-C. Chen, S. Unsleber, S. Maier, C. Schneider, M. Kamp, S. Höfling, C.-Y. Lu, J.-W. Pan, On-demand single photons with high extraction efficiency and near-unity indistinguishability from a resonantly driven quantum dot in a micropillar. Phys. Rev. Lett. 116, 020401 (2016)
Z. Peng, S. De Graaf, J.S. Tsai, O. Astafiev, Tuneable on-demand single-photon source in the microwave range. Nat. Commun. 7(1), 12588 (2016)
J.-Y. Hu, B. Yu, M.-Y. Jing, L.-T. Xiao, S.-T. Jia, G.-Q. Qin, G.-L. Long, Experimental quantum secure direct communication with single photons. Sci. Appl. 5(9), e16144 (2016)
A. Jain, P.V. Sakhiya, R.K. Bahl, Design and development of weak coherent pulse source for quantum key distribution system, In: 2020 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT), pp. 1 (2020)
M.D. Lukin, S.F. Yelin, M. Fleischhauer, Phys. Rev. Lett. 84, 4232 (2000)
A. Dantan, M. Pinard, Entanglement of atomic ensembles by trapping correlated photon states. Phys. Rev. A 69, 043810 (2004)
K.M. Birnbaum, A. Boca, R. Miller, A.D. Boozer, T.E. Northup, H.J. Kimble, Photon blockade in an optical cavity with one trapped atom. Nature 436, 87–90 (2005)
J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A. Renn, S. Gotzinger, V.A. Sandoghdar, A single-molecule optical transistor. Nature 460, 76 (2009)
S.E. Harris, L.V. Hau, Nonlinear optics at low light levels. Phys. Rev. Lett. 82, 4611–4614 (1999)
S. Saha, B.T. Diroll, M.G. Ozlu et al., Engineering the temporal dynamics of all-optical switching with fast and slow materials. Nat. Commun. 14, 5877 (2023)
E. Figueroa, F. Vewinger, J. Appel, A.I. Lvovsky, Decoherence of electromagnetically induced transparency in atomic vapor. Opt. Lett. 17, 2625 (2006)
A. Javan, O. Kocharovskaya, H. Lee, M.O. Scully, Narrowing of electromagnetically induced transparency resonance in a Doppler-broadened medium. Phys. Rev. A 66, 013805 (2002)
H. Lee, Y. Rostovtsev, C.J. Bednar, A. Javan, From laser-induced line narrowing to electro- magnetically induced transparency: closed system analysis. Appl. Phys. B 76, 33 (2003)
M. Fleischhauer, A. Imamoglu, J.P. Marangos, Electromagnetically induced transparency: optics in coherent media. Rev. Mod. Phys. 77, 633 (2005)
Y.Q. Li, M. Xiao, Electromagnetically induced transparency in a three-level \(\Lambda\)-type system in rubidium atoms. Opt. Lett. 21, 1064 (1995)
Y.Q. Li, M. Xiao, Observation of quantum interference between dressed states in an electromagnetically induced transparency. Phys. Rev. A Gen. Phys. 51, 4959 (1995)
J.G. Banacloche, Y.Q. Li, S.Z. Jin, M. Xiao, Electromagnetically induced transparency in ladder-type inhomogeneously broadened media: theory and experiment. Phys. Rev. A Gen. Phys. 51, 576 (1995)
E.A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, L. Windholz, Phase-dependent electromagnetically induced transparency. Phys. Rev. A 59, 2302 (1999)
M.D. Stenner, M.A. Neifeld, Z. Zhu, A.M.C. Dawes, D.J. Gauthier, Zero-broadening and pulse compression slow light in an optical fiber at high pulse delays. Opt. Express 13, 9995 (2005)
J.B. Khurgin, Performance limits of delay lines based on optical amplifiers. Opt. Lett. 31, 948 (2006)
A. Minardo, R. Bernini, L. Zeni, Low distortion Brillouin slow light in optical fibers using AM modulation. Opt. Express 14, 5866 (2006)
R.W. Boyd, D.J. Gauthier, A.L. Gaeta, A.E. Willner, Maximum time delay achievable on propagation through a slow-light medium. Phys. Rev. A 71, 023801 (2005)
M. Bashkansky, G. Beadie, Z. Dutton, F.K. Fatemi, J. Reintjes, M. Steiner, Slow-light dynamics of large-bandwidth pulses in warm rubidium vapor. Phys. Rev. A 72, 033819 (2005)
H. Li, V.A. Sautenkov, Y.V. Rostovtsev, G.R. Welch, P.R. Hemmer, M.O. Scully, Electromagnetically induced transparency controlled by a microwave field. Phys. Rev. A 80, 023820 (2009)
S. Baluscheva, N. Leinfellner, E.A. Korsunsky, L. Windholzb, Electromagnetically induced transparency in a Sodium vapour cell. Eur. Phys. J. D 2, 5 (1998)
F. Renzoni, W. Maichen, L. Windholz, E. Arimondo, Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line. Phys. Rev. A 55, 3710 (1997)
G. Alzetta, S. Gozzini, A. Lucchesini, S. Cartaleva, T. Karaulanov, C. Marinelli, L. Moi, Complete electromagnetic induced transparency in sodium atoms excited by a multimode dye laser. Phys. Rev. A 69, 063815 (2004)
D.A. Steck, Sodium D Line Data, http://steck.us/alkalidata
Author information
Authors and Affiliations
Corresponding author
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.
About this article
Cite this article
Tiaz, G., Subhan, W., Ghulam, N. et al. Group delayed phase switching of Gaussian light pulses via a thermal atomic medium. Eur. Phys. J. Plus 139, 192 (2024). https://doi.org/10.1140/epjp/s13360-024-04977-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-024-04977-8