Few-body perspective on fermionic pairing in one spatial dimension

TL;DR

This paper explores recent theoretical and experimental advances in understanding fermionic pairing in one-dimensional systems, emphasizing the potential of ultracold fermion experiments to directly observe correlated pairs with non-zero momentum.

Contribution

It highlights the importance of few-body experiments in verifying unconventional pairing mechanisms in 1D fermionic systems, bridging theory and experimental detection.

Findings

Ultracold fermion experiments can detect correlated pairs with non-zero center-of-mass momentum.

Recent theoretical models suggest new pairing mechanisms in 1D fermionic systems.

Experimental techniques are approaching the capability to verify these pairing correlations.

Abstract

In this perspective we discuss recent theoretical and experimental concepts giving a route to a better understanding of conventional and unconventional pairing mechanisms between opposite-spin fermions arising in one-dimensional mesoscopic systems. With special attention, we focus on the problem of experimental detectability of correlations between particles. We argue that state-of-the-art experiments with few ultracold fermions may finally break an impasse and give pioneering and unquestionable verification of the existence of correlated pairs with non-zero center-of-mass momentum.