Non Classical Rotational Inertia Fraction in a One Dimensional Model of Supersolid

TL;DR

This paper investigates the rotational inertia of a one-dimensional supersolid model using Gross-Pitaevskii theory, deriving an explicit formula for non classical inertia and validating it through numerical simulations.

Contribution

It provides a new explicit formula for the non classical rotational inertia in a 1D supersolid model, linking it to the ground state density profile.

Findings

Derived an explicit formula for NCRI in 1D supersolid

Confirmed the formula's validity through numerical simulations

Showed agreement with previous theoretical predictions

Abstract

We study the rotational inertia of a model of supersolid in the frame of the mean field Gross-Pitaevskii theory in one space dimension. We discuss the ground state of the model and the existence of a non classical inertia (NCRI) under rotation that models an annular geometry. An explicit formula for the NCRI is deduced. It depends on the density profil of the ground state, in full agreement with former theories. We compare the NCRI computed through this theory with direct numerical simulations of rotating 1D systems.