A S Bradley and C W Gardiner 2002 J. Phys. B: At. Mol. Opt. Phys. 35 4299 doi:10.1088/0953-4075/35/20/315
A S Bradley and C W Gardiner
Show affiliationsThe recent anomalous segregation experiment (Lewandowski H J, Harber D M, Whitaker D L and Cornell E A 2002 Phys. Rev. Lett. 88 070403) shows dramatic, rapid internal state segregation for two hyperfine levels of 87Rb. We simulate an effective one-dimensional model of the system for experimental parameters and find reasonable agreement with the data. The Ramsey frequency is found to be insensitive to the decoherence of the superposition, and is only equivalent to the interaction energy shift for a pure superposition. A quantum Boltzmann equation describing collisions is derived using quantum kinetic theory, taking into account the different scattering lengths of the internal states. As spin-wave experiments are likely to be attempted at lower temperatures we examine the effect of degeneracy on decoherence by considering the recent experiment, where degeneracy is around 10%. We also find that the segregation effect is only possible when transport terms are included in the equations of motion, and that the interactions only directly alter the momentum distributions of the states. The segregation or spin-wave effect is thus entirely due to coherent atomic motion as foreseen by Lewandowski et al.
31.30.Gs Hyperfine interactions and isotope effects
Issue 20 (28 October 2002)
Received 13 September 2002
Published 8 October 2002
A S Bradley and C W Gardiner 2002 J. Phys. B: At. Mol. Opt. Phys. 35 4299
Graham L Randall et al 2006 J. Phys.: Condens. Matter 18 S173
Chang-Hwan Choi and Chang-Jin Kim 2006 Nanotechnology 17 5326
K Hannewald et al 2004 J. Phys.: Condens. Matter 16 2023
Frank Dennis et al 2007 J. Radiol. Prot. 27 A3
Alexander Warmuth et al. 2009 ApJ 699 917
Tomoaki Nagaoka et al 2008 Phys. Med. Biol. 53 6695
L Petridis and E M Terentjev 2006 J. Phys. A: Math. Gen. 39 9693
Ibrahim Akduman and Rainer Kress 2002 Inverse Problems 18 1659
E. Thrane et al. 2009 ApJ 704 503