Dynamical theory of superfluidity in one dimension

TL;DR

This paper develops a dynamical theory for superfluidity in one-dimensional quantum fluids, linking superfluid response to quantum phase slip suppression and analyzing experimental correlation functions.

Contribution

It introduces a theoretical framework for understanding the dynamical superfluid response in 1D systems, emphasizing phase slip suppression effects.

Findings

Superfluidity onset relates to quantum phase slip suppression.

The momentum response function is key to experimental analysis.

Application to helium in nanometer pores and ultracold gases.

Abstract

A theory accounting for the dynamical aspects of the superfluid response of one dimensional (1D) quantum fluids is reported. In long 1D systems the onset of superfluidity is related to the dynamical suppression of quantum phase slips at low temperatures. The effect of this suppression as a function of frequency and temperature is discussed within the framework of the relevant correlation function that is accessible experimentally, namely the momentum response function. Application of these results to the understanding of the superfluid properties of helium confined in nanometer-size pores, edge dislocations in solid $^4$He, and ultra-cold atomic gases is also briefly discussed.