M. I. Parke

Publications (2)7.37 Total impact

• Article: Exact vortex nucleation and cooperative vortex tunneling in dilute Bose-Einstein condensates.

  M I Parke, N K Wilkin, J M F Gunn, A Bourne
  [show abstract] [hide abstract]
  ABSTRACT: With the imminent advent of mesoscopic rotating Bose-Einstein condensates in the lowest Landau level regime, we explore lowest Landau level vortex nucleation. An exact many-body analysis is presented in a weakly elliptical trap for up to 400 particles. Striking non-mean-field features are exposed at filling factors >1. For example, near the critical rotation frequency pairs of energy levels approach each other with exponential accuracy. A physical interpretation is provided by requantizing a mean-field theory, where 1/N plays the role of Planck's constant, revealing two vortices cooperatively tunneling between classically degenerate energy minima. The tunnel splitting variation is described in terms of frequency, particle number, and ellipticity.
  Physical Review Letters 09/2008; 101(11):110401. · 7.37 Impact Factor
• Source

  Available from: ArXiv

  Article: Exact vortex nucleation and cooperative vortex tunneling in dilute BECs

  M. I. Parke, N. K. Wilkin, J. M. F. Gunn, A. Bourne
  [show abstract] [hide abstract]
  ABSTRACT: With the imminent advent of mesoscopic rotating BECs in the lowest Landau level (LLL) regime, we explore LLL vortex nucleation. An exact many-body analysis is presented in a weakly elliptical trap for up to 400 particles. Striking non-mean field features are exposed at filling factors >>1 . Eg near the critical rotation frequency pairs of energy levels approach each other with exponential accuracy. A physical interpretation is provided by requantising a mean field theory, where 1/N plays the role of Planck's constant, revealing two vortices cooperatively tunneling between classically degenerate energy minima. The tunnel splitting variation is described in terms of frequency, particle number and ellipticity.
  08/2007;