Quantum Fluctuations of Vortex Lattices in Ultracold Gases

Abstract

We discuss the effects of quantum fluctuations on the properties of vortex lattices in rapidly rotating ultracold atomic gases. We develop a variational method that goes beyond the Bogoliubov theory by including the effects of interactions between the quasiparticle excitations. These interactions are found to have significant quantitative effects on physical properties even at relatively large filling factors. We use our theory to predict the expected experimental signatures of quantum fluctuations of vortices, and to assess the competition of the triangular vortex lattice phase with other phases in finite-sized systems.

References in corpus (4)

• Many-Body Physics with Ultracold Gases
• Experimental observation of the 'Tilting Mode' of an array of vortices in a dilute Bose-Einstein Condensate
• Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor $\nu =2$
• Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate

Cited by in corpus (5)

• Vortices in Bose-Einstein condensates - finite-size effects and the thermodynamic limit
• Collective modes of vortex lattices in two-component Bose-Einstein condensates under synthetic gauge fields
• Pseudogap Effects of Fermi Gases in the Presence of A Strong Effective Magnetic Field
• Physical Realization of von Neumann Lattices in Rotating Dipole-blockaded Bose Gases
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement