Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-12-31
Physics
Condensed Matter
Quantum Gases
9 pages, 2 figures
Scientific paper
We have found an exact analytical solution of the Bogoliubov-de Gennes equations for the Tkachenko modes of the vortex lattice in the lowest Landau level (LLL) in the thermodynamic limit at any momenta and calculated their damping rates. At finite temperatures both Beliaev and Landau damping leads to momentum independent damping rates in the low-energy limit, which shows that at sufficiently low energies Tkachenko modes become strongly damped. We then found that the mean square fluctuations of the density grow logarithmically at large distances, which indicates that the state is ordered in the vortex lattice only on a finite (although exponentially large) distance scale and introduces a low-momentum cut-off. Using this circumstance we showed that at finite temperatures the one-body density matrix undergoes an exponential decay at large distances.
Matveenko Sergey I.
Shlyapnikov Georgy V.
No associations
LandOfFree
Exact Tkachenko modes and their damping in the vortex lattice regime of rapidly rotating bosons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Tkachenko modes and their damping in the vortex lattice regime of rapidly rotating bosons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Tkachenko modes and their damping in the vortex lattice regime of rapidly rotating bosons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-296242