Quantized vortices in ${}^4$He droplets: a quantum Monte Carlo study

Abstract

We present a diffusion Monte Carlo study of a vortex line excitation attached to the center of a ${}^4$He droplet at zero temperature. The vortex energy is estimated for droplets of increasing number of atoms, from N=70 up to 300 showing a monotonous increase with $N$. The evolution of the core radius and its associated energy, the core energy, is also studied as a function of $N$. The core radius is $\sim 1$ Åin the center and increases when approaching the droplet surface; the core energy per unit volume stabilizes at a value 2.8 K${\sigma }^{-3}$ ($\sigma =2.556$ Å) for $N\ge 200$.

4 pages, 3 figures

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Cited by in corpus (5)

• Cold Physics and Chemistry: Collisions, Ionization and Reactions inside Helium Nanodroplets Close to Zero K
• Vortices in quantum droplets: Analogies between boson and fermion systems
• Vortex arrays in nanoscopic superfluid helium droplets
• Quantum Monte Carlo study of a vortex in superfluid ${}^4$He and search for a vortex state in the solid
• Vortex arrays in a rotating superfluid He-4 nanocylinder