2003/05/13 by Gordon Baym · 128 citations
Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Lattice (music) #Mechanics #Omega #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Vortex #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.91.110402
published in Physical Review Letters 91(11), 110402 (American Physical Society) · 4 pages, 2 figures
arxiv created 2003/05/13 · openalex publication_date 2003/09/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the in-plane modes of the vortex lattice in a rotating Bose condensate, from the slowly rotating to mean-field quantum Hall limits. The Tkachenko mode frequency, linear in wave vector k for lattice rotational velocities Omega much smaller than the lowest sound wave frequency in a finite system, becomes quadratic in k in the opposite limit. The system also supports an inertial mode of frequency >or=2omega. The calculated frequencies are in excellent agreement with recent observations of Tkachenko modes by Phys. Rev. Lett., 91, 100402 (2003)].