Collective Oscillations of Vortex Lattices in Rotating Bose-Einstein Condensates
T. Mizushima, Y. Kawaguchi, K. Machida, T. Ohmi, T. Isoshima, M. M. Salomaa
Abstract
The complete low-energy collective-excitation spectrum of vortex lattices is discussed for rotating Bose-Einstein condensates (BEC) by solving the Bogoliubov-de Gennes (BdG) equation, yielding, e.g., the Tkachenko mode recently observed at JILA. The totally symmetric subset of these modes includes the transverse shear, common longitudinal, and differential longitudinal modes. We also solve the time-dependent Gross-Pitaevskii (TDGP) equation to simulate the actual JILA experiment, obtaining the Tkachenko mode and identifying a pair of breathing modes. Combining both the BdG and TDGP approaches allows one to unambiguously identify every observed mode.
Create a lesson
Related papers
Charged Three-Dimensional Solitons in a Ferroelectric Nematic Liquid Crystal
Netra Prasad Dhakal, Zakaria Siddiquee, Hiroya Nishikawa et al.
Frank Elastic Constants of Associating Rigid-Rodlike Systems
Akihiko Matsuyama
Medial Model of Elastic Curve Contacts, from Clasps to Knits
Kathryn Chain, Haoye Sun, Michael S. Dimitriyev
How symmetry and complexity shape three-dimensional programmable self-assembly
Prarthana Agrawal, Joakim Bohlin, Ard A. Louis
Designing tunable hyperuniformity in random organization through nonlocal noise
Yusheng Lei, Yuhan Peng, Ran Ni
Long-time Brownian dynamics of hard and sticky colloids by geometric projection
Rémi Martin, Sandrine Duluard, Céline Merlet