Effects of Berry Curvature on the Collective Modes of Ultracold Gases
arXiv:1306.4796 · doi:10.1103/PhysRevLett.111.220407
Abstract
Topological energy bands have important geometrical properties described by the Berry curvature. We show that the Berry curvature changes the hydrodynamic equations of motion for a trapped Bose-Einstein condensate, and causes significant modifications to the collective mode frequencies. We illustrate our results for the case of two-dimensional Rashba spin-orbit coupling in a Zeeman field. Using an operator approach, we derive the effects of Berry curvature on the dipole mode in very general settings. We show that the sizes of these effects can be large and readily detected in experiment. Collective modes therefore provide a sensitive way to measure geometrical properties of energy bands.
5 pages, 2 figures (published version)
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- Topological Varma superfluid in optical lattices
- Dynamic Optical Superlattices with Topological Bands
- Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
- Chiral Bosonic Phases on the Haldane Honeycomb Lattice
- Excitation spectra of a Bose-Einstein condensate with an angular spin-orbit coupling
- Hydrodynamics of Normal Atomic Gases with Spin-orbit Coupling
- Wavepacket dynamics on Chern band lattices in a trap
- Response of fermions in Chern bands to spatially local quenches
- Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
- Equilibrium angular momentum and edge current in Bose-condensed cold atom systems with k-space Berry curvature
- Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential
- Lattice-induced wavefunction effects on trapped superfluids
- Detecting the Berry curvature in photonic graphene