Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling

TL;DR

This paper investigates how 1D spin-orbit coupling affects the energy levels and structural properties of two- and three-boson systems, revealing modifications to Efimov physics and detailed characteristics of energy manifolds.

Contribution

It provides a detailed analysis of energy levels and structural properties of bosonic systems with 1D spin-orbit coupling, extending understanding of Efimov physics under such conditions.

Findings

Efimov discrete scaling symmetry persists with 1D spin-orbit coupling.

Three-body energy levels form manifolds with four levels each.

Momentum distributions vary with system parameters.

Abstract

It was shown recently that the discrete scaling symmetry, which underlies the Efimov effect in the three identical boson system with two-body short-range interactions, survives when single-particle 1D spin-orbit coupling terms are added to the Hamiltonian. Each three-body energy level in the ordinary Efimov scenario turns into an energy manifold that contains four energy levels in the presence of 1D spin-orbit coupling (equal mixture of Rashba-Dresselhaus coupling). This work provides a detailed characterization of the energy levels in these manifolds. The two-boson energies, which enter into the three-boson scattering threshold, are analyzed in detail. Moreover, the structural properties, e.g., momentum distributions of the two- and three-boson systems, are analyzed for various parameter combinations.