Tkachenko waves

Abstract

This is a short review of theoretical and experimental studies of Tkachenko waves starting from their theoretical prediction by Tkachenko about 50 years ago up to their unambiguous experimental observation in the Bose--Einstein condensate of cold atoms.

11 pages, 3 figures, dedicated to the memory of V. K. Tkachenko, to be published by Pis'ma v ZhETF

References in corpus (3)

• Tkachenko modes as sources of quasiperiodic pulsar spin variations
• Tkachenko waves, glitches and precession in neutron star
• Tkachenko modes in a superfluid Fermi gas at unitarity

Cited by in corpus (16)

• Relativistic fluid dynamics: physics for many different scales
• Interaction of a Bose-Einstein condensate with a gravitational wave
• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• Effective field theory of a vortex lattice in a bosonic superfluid
• Bosonic superfluid on lowest Landau level
• Equatorial Waves in Rotating Bubble-Trapped Superfluids
• Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
• The dynamics of straight vortex filaments in a Bose-Einstein condensate with a Gaussian density profile
• Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
• Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
• On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
• A variational approach to relativistic superfluid vortex elasticity
• Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential
• Non-commutative effective field theory of the lowest Landau level superfluid
• Anti-Holomorphic Modes in Vortex Lattices
• Effective field theory for the superfluid vortex lattice from coset construction