Browse > Article
http://dx.doi.org/10.3807/JOSK.2003.7.2.119

Observation of Parametric Resonance in a Magneto-Optical Trap  

Jhe, Won-Ho (School of Physics and Center for Near-field Atom-photon Technology, Seoul National University)
Noh, Heung-Ryoul (Department of physics, Chonnam National University)
Kim, Ki-Hwan (School of Physics and Center for Near-field Atom-photon Technology, Seoul National University)
Ha, Hyun-Ji (School of Physics and Center for Near-field Atom-photon Technology, Seoul National University)
Publication Information
Journal of the Optical Society of Korea / v.7, no.2, 2003 , pp. 119-125 More about this Journal
Abstract
We demonstrate parametric resonance in a magneto-optical trap. When we modulate the intensity of the cooling laser at about twice the resonant frequency of the trap, the atoms in the trap are divided into two parts and oscillate with 180 degree phase difference with the finite length due to nonlinearity of the trap potential. These are the effects of general nonlinear dynamics, called the Hopf bifurcation, or limit cycle motion. The amplitude and the phase of the oscillations are measured and compared with the theoretical calculations based on simple Doppler cooling theory. The experimental results are in excellent agreement with the simulation results based on the simple Doppler cooling theory.
Keywords
Citations & Related Records
연도 인용수 순위
  • Reference
1 L. J. Lapidus, D. Enzer, and G. Gabrielse, 'Stochastic Phase Switching of a Parametrically Driven Electron in a Penning Trap,' Phys. Rev. Lett., vol. 83, no. 5, pp. 899-902, 1999   DOI
2 E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, “Trapping of Neutral Sodium Atoms with Radiation Pressure,” Phys. Rev. Lett., vol. 59, no. 23, pp. 2631-2634, 1987.   DOI   ScienceOn
3 J. Dalibard and C. C.-Tannoudji, “Laser Cooling Below the Doppler Limit by Polarization Gradients - Simple Theoretical Models,” J. Opt. Soc. Am. B, vol. 6, no. 11, pp. 2023-2045, 1989.   DOI
4 C. G. Townsend, N. H. Edwards, C. J. Cooper, K. P. Zetie, C. J. Foot, A. M. Steane, P. Szriftgiser, H. Perrin, and J. Dalibard, “Phase-Space Density in the Magnetooptical Trap,” Phys. Rev. A, vol. 52, no. 2, pp. 1423-1440, 1995.   DOI   ScienceOn
5 P. D. Lett, W. D. Phillips, S. L. Rolston, C. E. Tanner, R. N. Watts, and C. I. Westbrook, “Optical Molasses,” J. Opt. Soc. Am. B, vol. 6, no. 11, pp. 2084- 2107, 1989.   DOI
6 S. H. Strogatz, Nonlinear Dynamics and Chaos (Perseus, New York, USA, 2001).
7 J. Tan and G. Gabrielse, ”Parametrically Pumped Electron Oscillators,” Phys. Rev. A, vol. 48, no. 4, pp. 3105-3121, 1993.   DOI   ScienceOn
8 S. Chang and V. Minogin, “Density-matrix approach to dynamics of multilevel atoms in laser fields,” Phys. Rep., vol. 365, pp. 65-143, 2002.   DOI   ScienceOn
9 S. Friebel, C. D'Andrea, J.Walz, M.Weitz, and T.W. H¨ansch, “$CO_2$-laser optical lattice with cold rubidium atoms,” Phys. Rev. A, vol. 57, no. 1, pp. R20-R23, 1998.   DOI   ScienceOn
10 T. Walker, D. Sesko, and C. Wieman, “Collective Behavior of Optically Trapped Neutral Atoms,” Phys. Rev. Lett., vol. 64, no. 4, pp. 408-411, 1990.   DOI   ScienceOn
11 D. Wilkowski, J. Ringot, D. Hennequin, and J. C. Garreau, “Instabilities in a Magneto-Optical Trap: Noise-Induced Dynamics in an Atomic System,” Phys. Rev. Lett., vol. 85, no. 9, pp. 1839-1842, 2000.   DOI   ScienceOn
12 L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, London, UK, 1976).
13 J. Tan and G. Gabrielse, “Synchronization of Parametrically Pumped Electron Oscillators with Phase Bistability,” Phys. Rev. Lett., vol. 67, no. 22, pp. 3090-3093, 1991   DOI   ScienceOn
14 C. H. Tseng, D. Enzer, G. Gabrielse, and F. L.Walls, “1-bit memory using one electron: Parametric oscillations in a Penning trap,” Phys. Rev. A, vol. 59, no. 3, pp. 2094-2104, 1999.   DOI   ScienceOn
15 L. J. Lapidus, D. Enzer, and G. Gabrielse, “Stochastic Phase Switching of a Parametrically Driven Electron in a Penning Trap,” Phys. Rev. Lett., vol. 83, no. 5, pp. 899-902, 1999.   DOI
16 N. H. Nayfeh and D. T. Moore, Nonlinear Oscillations (Wiley, New York, USA, 1979).   DOI   ScienceOn