Spatial distribution of superfluidity and superfluid distillation of Bose liquids

TL;DR

This paper develops a local framework for understanding the spatial distribution of superfluidity in Bose liquids, unifying various descriptions and exploring implications for quantum device design.

Contribution

It introduces a local formulation of superfluidity using Galilei transformations and extends it to pure states with matrix product states, linking superfluidity to quantum coherence resources.

Findings

Derived formulas for superfluid distribution in 1D Bose systems.

Unified multiple descriptions of superfluidity within a local framework.

Analyzed limits of local superfluid distillation for quantum devices.

Abstract

Under the assumption of two fluid kinematics of a nonrelativistic Bose liquid in the presence of a local velocity field $v(x)$, local Galilei transformations are used to derive formulas for the spatial distribution of superfluidity. The local formulation is shown to subsume several descriptions of superfluidity, from Landau's free quasiparticle picture of the normal fluid to the fully microscopic winding number formula for superfluid density. We derive the superfluid distribution of generic pure states of 1-d bosonic systems by using the continuum analog of matrix product states. With a view toward spatially structured superfluid-based quantum devices, we consider the limits to local distillation of superfluidity within the framework of localized resource theories of quantum coherence.