Nicolai Nygaard1, 2, Georg M. Bruun3, Barry I. Schneider4, David L. Feder5 and Charles W. Clark1
1. Electron and Optical Physics Division, Physics Laboratory
2. Chemical Physics Program, University of Maryland, College Park, Maryland
3. Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark
4. Physics Division, National Science Foundation, Arlington, Virginia 22230
5. Department of Physics and Astronomy, University of Calgary, Calgary, Alberta, Canada T2N 1N4
Dilute atomic gases have become a powerful tool for studying many-body quantum mechanics. The best example of this is the achievement of Bose-Einstein condensation in 1995 in a gas of Bose atoms, a discovery which has invoked a confluence of ideas from condensed matter, atomic and nuclear physics. Now a concerted research effort is focused on creating and studying a BCS (Bardin-Cooper-Schrieffer) superfluid of Cooper pairs in an atomic Fermi gas. An outstanding issue is the apparent lack of a ‘smoking gun’ for superfluidity in a Fermi gas, since the bulk properties are essentially unaffected by the pairing. We propose to focus on the macroscopic coherence of the gas in the superfluid phase, in particular its ability to sustain quantized vortices. The creation and subsequent detection of such persistent topological features would provide an unambiguous signature of superfluidity in the system.
In the work presented here we investigate the structure and thermodynamic
properties of a singly quantized vortex line in a gas of superfluid fermionic
atoms. By solving the Bogoliubov-de Gennes equations self-consistently
we make the first quantitative determination of the critical rotation frequency
for thermodynamic stability of the vortex state, and study the nature of
the bound states in the vortex core. These excitations fill the core, making
direct imaging of the vortex unlikely. Instead, we propose an experiment
to indirectly probe the supercurrent associated with the vortex state with
laser fields, in a scheme analogous to Scanning Tunneling Microscopy. Furthermore,
it is shown that the vortex state causes a shift of the superfluid transition
temperature, which can be understood as a finite size effect.
Nicolai Nygaard
Electron and Optical Physics Division
Physics Laboratory
B105 Building 245
Mailstop 8410
Phone: (301) 975-3748
Fax: (301) 208-6937
Email: nicolai.nygaard@nist.gov
Category: Physics