Superfluid fraction of interacting bosonic gases
arXiv:2403.08416 · doi:10.1103/PhysRevA.111.L011302
Abstract
The superfluid fraction of a quantum fluid is defined in terms of the response of the system to a weak and constant drag. Notably, Leggett long ago derived two simple expressions providing a rigorous upper bound and a heuristic lower bound for . Here we study the superfluid fraction of bosonic gases in various two-dimensional potentials, such as regular optical lattices and disordered speckles, by solving the Gross-Pitaevskii equation and performing Diffusion Monte Carlo simulations. We show that under conditions relevant for most ultracold experiments the bounds proposed by Leggett provide a surprisingly narrow bracketing of the exact value of the superfluid fraction.
6 pages and 4 figures. Published version
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- Superfluid Fraction of a 2D Bose-Einstein Condensate in a Triangular Lattice
- Probing Superfluidity with Quantum Vortex Necklaces
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