Stability against three-body clustering in one-dimensional spinless p-wave fermions

TL;DR

This paper studies the stability of three-body clusters in one-dimensional spinless p-wave fermions, revealing that strong p-wave interactions do not lead to three-body cluster formation, unlike in higher dimensions.

Contribution

It provides a theoretical analysis showing stability against three-body clustering in 1D p-wave fermions, contrasting with higher-dimensional systems.

Findings

System stable against three-body clusters despite strong p-wave interactions

Contrasts with higher-dimensional systems prone to three-body loss

Analyzes in-medium two- and three-body correlations

Abstract

We theoretically investigate in-medium two- and three-body correlations in one-dimensional spinless fermions with attractive two-body p-wave interaction. By investigating the variational problem of two- and three-body states above the Fermi sea, we elucidate the fate of the in-medium two- and three-body cluster states. The one-dimensional system with the strong p-wave interaction is found to be stable against the formation of three-body clusters even in the presence of the Fermi sea, in contrast to higher-dimensional systems that suffer the strong three-body loss associated with the trimer formation.