Abstract
In this paper, we investigated the electromagnetically induced phase grating in a four-level quantum system with closed loop configuration via relative phase between applied fields. We found that the diffraction intensity can be adjusted via intensities and relative phase of applied lights. We also studied separately the diffraction patterns of amplitude and phase modulations of the probe light by controlling the intensity of cycling field. We found that the probe energy can transfer from zero order to high orders of diffraction when the phase modulation of the probe light becomes important. This study may be used for application in novel photonic devices in future quantum information processing.
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References
Zhang, R., Wang, X.-B.: Storage efficiency of probe pulses in an electromagnetically-induced-transparency medium. Phys. Rev. A. 94, 063856 (2016)
Schumacher, B.: Quantum coding. Phys. Rev. A. 51, 2738–2747 (1995)
Vaidman, L.: Teleportation of quantum states. Phys. Rev. A. 49, 1473–1476 (1994)
Wu, Y.: Two-color ultraslow optical solitons via four-wave mixing in cold-atom media. Phys. Rev. A. 71, 053820 (2005)
Wang, Z.: Optical bistability and multistability via quantum interference in an Er3+−doped optical fiber. J. Lumin. 131, 2404–2408 (2011)
Sahrai, M., Asadpour, S.H., Sadighi-Bonabi, R.: Optical bistability via quantum interference from incoherent pumping and spontaneous emission. J. Lumin. 131, 2395–2399 (2011)
Li, J.-H., Lü, X.-Y., Luo, J.-M., Huang, Q.-J.: Optical bistability and multistability via atomic coherence in anN-type atomic medium. Phys. Rev. A. 74, 035801 (2006)
Wang, Z., Yu, B., Zhen, S., Wu, X.: Large refractive index without absorption via quantum interference in a semiconductor quantum well. J. Lumin. 134, 272–276 (2013)
Asadpour, S.H., Hamedi, H.R., Soleimani, H.R.: Slow light propagation and bistable switching in a graphene under an external magnetic field. Laser Phys. Lett. 12, 045202 (2015)
Panahi, M., Solookinejad, G., Sangachin, E.A., Asadpour, S.H.: Long wavelength superluminal pulse propagation in a defect slab doped with GaAs/AlGaAs multiple quantum well nanostructure. Modern Physics Letters B. 29, 1550216 (2015)
Wu, Y., Deng, L.: Ultraslow optical solitons in a cold four-state medium. Phys. Rev. Lett. 93, 143904 (2004)
Jamshidnejad, M., Asadi Amirabadi, E., Miraboutalebi, S., Asadpour, S.H.: Enhancement of optical delay in a monolayer Graphene system under an external magnetic field. J. Nanoelectron. Optoelectron. 11, 762–768 (2016)
Asadpour, S.H., Hamedi, H.R., Jafari, M.: Enhancement of Goos–Hänchen shift due to a Rydberg state. Appl. Opt. 57, 4013–4019 (2018)
Asadpour, S.H., Panahpour, A., Jafari, M.: Phase-dependent electromagnetically induced grating in a four-level quantum system near a plasmonic nanostructure. EPJ Plus. 133, 411 (2018)
Solookinejad, G., Jabbari, M., Nafar, M., Ahmadi, E., Asadpour, S.: Incoherent control of optical bistability and multistability in a hybrid system: metallic nanoparticle-quantum dot nanostructure. J. Appl. Phys. 124, 063102 (2018)
Solookinejad, G., Jabbari, M., Nafar, M., Ahmadi Sangachin, E., Asadpour, S.H.: Theoretical investigation of optical Bistability and multistability via spontaneously generated coherence in four-level Rydberg atoms. Int. J. Theor. Phys. 58, 1359–1368 (2019)
Wu, Y., Yang, X.: Four-wave mixing in molecular magnets via electromagnetically induced transparency. Phys. Rev. B. 76, 054425 (2007)
Wu, Y.: Matched soliton pairs of four-wave mixing in molecular magnets. J. Appl. Phys. 103, 104903 (2008)
Ling, H.Y., Li, Y.-Q., Xiao, M.: Electromagnetically induced grating: homogeneously broadened medium. Phys. Rev. A. 57, 1338–1344 (1998)
de Araujo, L.E.: Electromagnetically induced phase grating. Opt. Lett. 35, 977–979 (2010)
Liu, Z.-Z., Chen, Y.-Y., Yuan, J.-Y., Wan, R.-G.: Two-dimensional electromagnetically induced grating via nonlinear modulation in a five-level atomic system. Opt. Commun. 402, 545–550 (2017)
Yu-Yuan, C., Zhuan-Zhuan, L., Ren-Gang, W.: Electromagnetically induced 2D grating via refractive index enhancement in a far-off resonant system. Laser Phys. Lett. 14, 075202 (2017)
Shui, T., Yang, W.-X., Liu, S., Li, L., Zhu, Z.: Asymmetric diffraction by atomic gratings with optical PT symmetry in the Raman-Nath regime. Phys. Rev. A. 97, 033819 (2018)
Tian, S.C., Wan, R.G., Wang, L.J., Shu, S.L., Lu, H.Y., Zhang, X., Tong, C.Z., Feng, J.L., Xiao, M., Wang, L.J.: Asymmetric light diffraction of two-dimensional electromagnetically induced grating with PT symmetry in asymmetric double quantum wells. Opt. Express. 26, 32918–32930 (2018)
Vafafard, A., Mahmoudi, M.: Switching from electromagnetically induced absorption grating to electromagnetically induced phase grating in a closed-loop atomic system. Appl. Opt. 54, 10613–10617 (2015)
Cerboneschi, E., Arimondo, E.: Transparency and dressing for optical pulse pairs through a double- lambda absorbing medium. Phys. Rev. A. 52, R1823–R1826 (1995)
Shui, T., Li, L., Wang, X., Yang, W.X.: One- and two-dimensional electromagnetically induced gratings in an Er(3+) - doped yttrium aluminum garnet crystal. Sci. Rep. 10, 4019 (2020)
Abbas, M., Khurshid, A., Hussain, I.: Ziauddin, investigation of P T- and P T-antisymmetry in two dimensional (2D) optical lattices. Opt. Express. 28, 8003–8015 (2020)
Hang, C., Li, W., Huang, G.: Nonlinear light diffraction by electromagnetically induced gratings with PT symmetry in a Rydberg atomic gas. Phys. Rev. A. 100, 043807 (2019)
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Cheng, J. Phase Control of Electromagnetically Induced Phase Grating in a Four-Level Inverted Quantum System with Closed-Loop Configuration. Int J Theor Phys 60, 2745–2752 (2021). https://doi.org/10.1007/s10773-021-04860-7
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DOI: https://doi.org/10.1007/s10773-021-04860-7