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Paper DOI

Experimental Realization of One Dimensional Helium

Adrian Del Maestro, Nathan S. Nichols, Timothy R. Prisk, Garfield Warren, Paul E. Sokol

arXiv:2203.11984

Abstract

The realization of experimental platforms exhibiting one-dimensional (1D) quantum phenomena has been elusive, due to their inherent lack of stability, with a few notable exceptions including spin chains, carbon nanotubes and ultracold low-density gasses. The difficulty of such systems in exhibiting long range order is integral to their effective description in terms of the Tomonaga-Luttinger liquid theory. Recently, it has been proposed that that the bosonic superfluid 4He could realize a 1D quantum system beyond the Luttinger liquid paradigm. Here we describe an experimental observation of this behavior using nanoengineering by preplating a porous material with a noble gas to enhance dimensional reduction. The resulting excitations of the confined 4He are qualitatively different than 3D and 2D superfluid helium, and can be analyzed in terms of a mobile impurity in a Luttinger liquid allowing for the characterization of the emergent quantum liquid. The confined helium system offers the possibility of tuning via pressure; from weakly interacting, all the way to the super Tonks-Girardeau gas of strongly interacting hard-core particles.

Description

This repository includes links, code, scripts, and data to perform analysis and generate all figures in a paper.

Requirements

The data in this project was generated via experimental neutron scattering and quantum Monte Carlo simulations. Processed data is included in the data directory and the full raw simulation data set is available online at DOI

  1. A minimal environment to execute these notebooks can be installed via
pip install -r requirements.txt
  1. For plotting a single package cmaptools must be installed by hand. See instructions here.

  2. All quantum Monte Carlo data was generated with our open source path integral software.

Support

The creation of these materials was supported in part by the National Science Foundation under Award Nos. DMR-1809027 and DMR-1808440.

Figures

Figure 1: Adsorption and structure inside nanopores

Figure 2: Elastic scattering from 4He confined inside MCM-41

Figure 3: Inelastic scattering of a one-dimensional quantum liquid

Figure 4: Energy and temperature dependence of the inelastic scattering branch

Figure S1: Elastic scattering from confined helium: raw data