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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 $sim 1$ AA in the center and increases when approaching the droplet surface; the core energy per unit volume stabilizes at a value 2.8 K$sigma^{-3}$ ($sigma=2.556$ AA) for $N ge 200$.
The dynamic structure function $S(k,omega)$ informs about the dispersion and damping of excitations. We have recently (Phys. Rev. B {bf 97}, 184520 (2018)) compared experimental results for $S(k,omega)$ from high-precision neutron scattering experime
Peculiar dynamics of a free surface of the superfluid 4He has been observed experimentally with a newly established technique utilizing a number of electrically charged fine metal particles trapped electrically at the surface by Moroshkin et al. They
We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of a one dimensional Rabi-Hubbard model. The model consists of a lattice of Rabi systems coupled by a photon hopping term between near neighbor sites. For large enough
The local order around alkali (Li$^+$ and Na$^+$) and alkaline-eath (Be$^+$, Mg$^+$ and Ca$^+$) ions in $^4$He clusters has been studied using ground-state path integral Monte Carlo calculations. We apply a criterion based on multipole dynamical corr
This work expands recent investigations in the field of spin-polarized tritium (T$downarrow$) clusters . We report the results for the ground state energy and structural properties of large T$downarrow$ cl usters consisting of up to 320 atoms. All ca