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42                                                                UEC Int’l Mini-Conference No.53

              53rd UEC International Mini-conference
                  STRUCTURED LIGHT MEETS ULTRA-COLD ATOMS
                              Urgunoon SALEEM *, Haruka TANJI-SUZUKI  & Yoko MIYAMOTO
                                               a,b
                                                                       c
                                                                                          a,b
                                                                                               a
                          Department of Engineering Science, the University of Electro-Communications
                            Institute for Advanced Science, the University of Electro-Communications
                                                                                             b
                                                                                           c
                              Institute for Laser Science, the University of Electro-Communications
                                        1-5-1, Chofugaoka, Chofu, Tokyo, 182-8585, Japan.
              Keywords: Orbital Angular Momentum (OAM) Light, Vortex Beams, Magneto-Optical Trap (MOT), Ultra-Cold Atoms
                                                     Brief Overview
               Structured light can carry orbital angular momentum (OAM), which is encoded in the beam’s helical phase structure.
                OAM  light  offers  significant  advantages  in  applications  such  as  optical  tweezers,  quantum  communication,  and
                astrophysical measurements.
               Ultra-cold atoms are neutral atoms that have been slowed down to temperatures around or below the millikelvin
                (mK) range . Since the thermal motion of the atoms is significantly lowered, effects of OAM light can be observed more
                clearly.

                                              How  do we  get  OAM  Light?
             An  effective  way  to  convert  Gaussian  modes  into  a  structured  beam  (e.g.,  Lagurre-
             Guassian  modes)  is  to  use  computer  generated  holograms.  In  recent  years,  these
             holograms have been realized using a device called a spatial light modulator (SLM).
                                     (a)               (b)

                            +





              Figure (1):  A beam whose
              irradiance  profile  matches   Figure  (2):  (a)  This  computer  generated  hologram  diffracts
              that   of   a   Gaussian   beams  with  plane  wavefronts  into  a  beam  with  helical
              distribution  is  called  a   wavefronts.  This  image  is  from  ref  [1]  (b)  The  SLM  was
              Gaussian beam.   connected to the computer in order to produce the hologram. [2]   Figure (3): Wavefronts, phase profile, and intensity profiles
                                                                        of OAM beams. (a) ℓ = 0 represents a donutshaped Gaussian
              In OAM beams the azimuthal winding number ℓ determines the number of phase   beam with no twist/OAM in the wave front; (b) ℓ = 1, which
              twists in the beam. A higher ℓ-value means more twists per wavelength, resulting in   defines one twist; (c) ℓ = 2, which defines two twists; (d) ℓ =
              helical wavefronts and a vortex-shaped intensity profile.   3, which defines three twists per wavelength. Reprinted from
                                                                        Ref. [3]
                                 How do we COOL Atoms?                           Combining OAM light and atoms
                       LASER COOLING     +    ZEEMAN SPLITTING                EIT  based  phenomena  like  Spatially  Structured
                                                                               transparency [6]
             (a)                            (b)                               Studying  how  cold  atoms’  spatial  distribution
                                                                               responds to light carrying OAM [7]
                                                                                        Future Work

                                                                               Read more literature reporting experimental  findings
                                                                               based on Laser cooling
                                                                 ℃   K         Read more literature reporting experimental  findings
                                                                               for OAM light generation
             (c)               (d)            (e)                              Design  and  perform  experiments  for  OAM  light
                                                                               generation and  creating ultra-cold  atoms.
                             Anti-
                            Hemholtz                                                    References
                              coils
             Magnetic
              field                                                      YOU    [1] Padgett, M., & Allen, L. (1999). Optical and quantum electronics. Optical
             Strength                                                          and Quantum Electronics, 31, 1–12.
                                                                          ARE   [2] Simpson, N. B., Padgett, M., & Allen, L. (1996). Journal of Modern Optics,
                                   Rb-87 atomic cloud   MOT Laser cooling Apparatus   HERE!!   43, 2485–2491.
                                                                                 [3] Willner, A. E., Song, H., Zou, K., Zhou, H., & Su, X. (2023). Orbital angular
             Figure  (4):  (a)  Due  to  the  Doppler  effect,  atoms  that  are  moving  see  slightly  different   momentum beams for high-capacity communications. Journal of Lightwave

                                                                               Technology, 41, 1918–1933.
             wavelengths  than  those  at  rest.  Figure  from  [5].  (b)  If  we  set  up  a  magnetic  field  that  has     [4] King-Smith, D. (2014). Creating Laguerre-Gaussian modes using a spatial light
             gradients (different values at different points in space) the atom’s energy will depend upon its   modulator (Undergraduate thesis). The College of Wooster, Wooster, Ohio, USA

                                                                               [6] Radwell, N., Clark, T. W., Piccirillo, B., Barnett, S. M., & Franke-Arnold, S.
             spatial location Figure from [5]. (c) The 3D Magneto-Optical Trap (MOT) allows atoms to reach     (2015). Spatially dependent electromagnetically induced transparency.
                                                                                 Physical Review Letters, 114 ( 12), 123603.
             (e.g. Rubidium) temperatures around millikelvin. Figure from [5].  (d) Rb-87 atomic cloud and      [7] Baio, G., Robb, G. R. M., Yao, A. M., & Oppo, G.-L. (2020).
             (e)  MOT LASER cooling apparatus at Tanji-Lab, ILS, UEC Tokyo.    Optomechanical transport of cold atoms induced by structured light. Physical
                                                                               Review Research, 2(2), 023126.
                 Quantum Effects Become   But why ‘COOL’    Precision:         Website
                                                                               [5] University of Alberta. (n.d.). Laser cooling background. Retrieved from
                    Prominent:                           Energy levels, Position    https://sites.ualberta.ca/~ljleblan/background/laser-cooling.html
               Superposition states, Entanglement   atoms?
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