Abstract
A four-level N-type atomic configuration driven by two interacting control fields and a probe field. Control fields are used to manipulate and control the spin density of the probe field and its spin angular momentum vector field arrows. Significant variation of spin density of probe field is investigated with the angle between two interfering waves and the Rabi frequency of the control field. Spin distribution and spin density of circularly, diagonal, and linearly polarized probe light field is coherently controlled and modified. The control field parameters and probe field detuning play important roles in the modification of spin density and spin vector field distribution of the probe field. The modified works of this manuscript are useful for unidirectional optical interfaces and the quantum spin Hall effect of the light beam.
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References
L. Allen, S.M. Barnett, M.J. Padgett (eds.), Optical Angular Momentum (IoP Publishing, Bristol, 2003)
A. Bekshaev, M. Soskin, M. Vasnetsov, Paraxial Light Beams with Angular Momentum (Nova Science Publishers, New York, 2008)
D.L. Andrews (ed.), Structured Light and its Applications (Academic Press, Amsterdam, 2008)
J.P. Torres, L. Torner (eds.), Twisted Photons (Wiley-VCH, Weinheim, 2011)
D.L. Andrews, M. Babiker (eds.), The Angular Momentum of Light (Cambridge University Press, Cambridge, 2013)
L. Allen, M.J. Padgett, M. Babiker, The orbital angular momentum of light. Prog. Opt. 39, 291–372 (1999)
G. Molina-Terriza, J.P. Torres, L. Torner, Twisted photons. Nat. Phys. 3, 305–310 (2007)
S. Franke-Arnold, L. Allen, M.J. Padgett, Advances in optical angular momentum. Laser Photon. Rev 2, 299–313 (2008)
A.M. Yao, M.J. Padgett, Optical angular momentum: origins, behavior, and applications. Adv. Opt. Photon. 3, 161–204 (2011)
A. Bekshaev, K.Y. Bliokh, M. Soskin, Internal flows and energy circulation in light beams. J. Opt. 13, 053001 (2011)
C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Atom–Photon Interactions (Wiley-VCH, 2004)
S. Stenholm, The semiclassical theory of laser cooling. Rev. Mod. Phys. 58, 699–739 (1986)
D.G. Grier, A revolution in optical manipulation. Nature 424, 810–816 (2003)
M. Aspelmeyer, T.J. Kippenberg, F. Marquardt, Cavity optomech. Rev. Mod. Phys. (2015, in press). arXiv:1303.0733
S. Huard, C. Imbert, Measurement of exchanged momentum during interaction between surface-wave and moving atom. Opt. Commun. 24, 185–189 (1978)
K.Y. Bliokh, A.Y. Bekshaev, A.G. Kofman, F. Nori, Photon trajectories, anomalous velocities, and weak measurements: a classical interpretation. New J. Phys. 15, 073022 (2013)
S.M. Barnett, M.V. Berry, Superweak momentum transfer near optical vortices. J. Opt. 15, 125701 (2013)
K.Y. Bliokh, A.Y. Bekshaev, F. Nori, Extraordinary momentum and spin in evanescent waves. Nat. Commun. 5, 3300 (2014)
M.E.J. Friese, T.A. Nieminen, N.R. Heckenberg, H. Rubinsztein-Dunlop, Optical alignment and spinning of laser-trapped microscopic particles. Nature 394, 348–350 (1998)
A.T. O’Neil, I. MacVicar, L. Allen, M.J. Padgett, Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. Phys. Rev. Lett. 88, 053601 (2002)
V. Garcés-Chavéz, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer, K. Dholakia, Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle. Phys. Rev. Lett. 91, 093602 (2003)
A. Ashkin, J.P. Gordon, Stability of radiation-pressure particle traps: an optical Earnshaw theorem. Opt. Lett. 8, 511–513 (1983)
M. Nieto-Vesperinas, J.J. Saenz, R. Gomez-Medina, L. Chantada, Optical forces on small magnetodielectric particles. Opt. Express 18, 11428–11443 (2010)
A.Y. Bekshaev, Subwavelength particles in an inhomogeneous light field: optical forces associated with the spin and orbital energy flows. J. Opt. 15, 044004 (2013)
A. Canaguier-Durand, A. Cuche, C. Genet, T.W. Ebbesen, Force and torque on an electric dipole by spinning light fields. Phys. Rev. A 88, 033831 (2013)
K.Y. Bliokh, Y.S. Kivshar, F. Nori, Magnetoelectric effects in local light-matter interactions. Phys. Rev. Lett. 113, 033601 (2014)
M.V. Berry, Optical currents. J. Opt. A Pure Appl. Opt. 11, 094001 (2009)
A. Canaguier-Durand, C. Genet, Transverse spinning of a sphere in plasmonic field. Phys. Rev. A 89, 033841 (2014)
C. Junge, D. O’Shea, J. Volz, A. Rauschenbeutel, Strong coupling between single atoms and nontransversal photons. Phys. Rev. Lett. 110, 213604 (2013)
M. Neugebauer, T. Bauer, P. Banzer, G. Leuchs, Polarization tailored light driven directional optical nanobeacon. Nano Lett. 14, 2546–2551 (2014)
J. Petersen, J. Volz, A. Rauschenbeutel, Chiral nanophotonic waveguide interface based on spin-orbit coupling of light. Science 346, 67–71 (2014)
D. O’Connor, P. Ginzburg, F.J. Rodriguez-Fortuno, G.A. Wurtz, A.V. Zayats, Spinorbit coupling in surface plasmon scattering by nanostructures. Nature Commun. 5, 5327 (2014)
J.D. Jackson, Classical Electrodynamics, 3rd edn. (Wiley, 1999)
L. Allen, S.M. Barnett, M.J. Padgett, Optical Angular Momentum (IoP Publishing, 2003)
J.H. Poynting, The wave-motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly-polarized light. Proc. R. Soc. Lond. Ser. A 82, 560–567 (1909)
R.A. Beth, Mechanical detection and measurement of the angular momentum of light. Phys. Rev. 50, 115–125 (1936)
M.R. Dennis, A.C. Hamilton, J. Courtial, Superoscillations in speckle patterns. Opt. Lett. 33, 2976–2978 (2008)
F.I. Fedorov, To the theory of total reflection. Doklady Akademii Nauk SSSR 105, 465–468 (1955) [translated and reprinted in J. Opt. 15, 014002 (2013)]
C. Imbert, Calculation and experimental proof of the transverse shift induced by total internal reflection of a circularly polarized light beam. Phys. Rev. D 5, 787–796 (1972)
A.Y. Bekshaev, K.Y. Bliokh, F. Nori, Transverse spin and momentum in two-wave interference. Phys. Rev. X 5, 011039 (2015)
E. Higurashi, H. Ukita, H. Tanaka, O. Ohguchi, Optically induced rotation of anisotropic micro-objects fabricated by surface micromachining. Appl. Phys. Lett. 64, 2209–2210 (1994)
N. Simpson, K. Dholakia, L. Allen, M. Padgett, Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. Opt. Lett. 22, 52–54 (1997)
D. Grier, A revolution in optical manipulation. Nature 424, 810–816 (2003)
J. Courtial, M. Padgett, Limit to the orbital angular momentum per unit energy in a light beam that can be focused onto a small particle. Opt. Commun. 173, 269–274 (2000)
K. Ladavac, D. Grier, Micro-optomechanical pumps assembled and driven by holographic optical vortex arrays. Opt. Express 12, 1144–1149 (2004)
J. Leach, H. Mushfique, R. di Leonardo, M. Padgett, J. Cooper, An optically driven pump for microfluidics. Lab. Chip. 6, 735–739 (2006)
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Tariq, M., Hamza, A., Hammad, M. et al. Coherent manipulation of spin density of light in two-wave interference in atomic medium. Eur. Phys. J. Plus 137, 1058 (2022). https://doi.org/10.1140/epjp/s13360-022-03269-3
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DOI: https://doi.org/10.1140/epjp/s13360-022-03269-3