Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

TL;DR

This paper develops and validates a universal energy scaling function for bosonic trimers with large scattering lengths, enabling Efimov physics exploration using only ground state data, through quantum Monte Carlo simulations and theoretical modeling.

Contribution

It introduces a new energy scaling function for bosonic trimers that incorporates finite-range effects and is validated by quantum Monte Carlo calculations.

Findings

The scaling function accurately predicts trimer energies within a specific range.

The function depends on scattering length, effective range, and a reference energy.

It facilitates Efimov physics studies using only ground state measurements.

Abstract

We present an energy scaling function to predict, in a specific range, the energy of bosonic trimers with large scattering lengths and finite range interactions, which is validated by quantum Monte Carlo calculations using microscopic Hamiltonians with two- and three-body potentials. The proposed scaling function depends on the scattering length, effective range, and a reference energy, which we chose as the trimer energy at unitarity. We obtained the scaling function as a limit cycle from the solution of the renormalized zero-range model with effective range corrections. We proposed a simple parametrization of the energy scaling function. Besides the intrinsic interest in theoretical and experimental investigations, this scaling function allows one to probe Efimov physics with only the trimer ground states, which may open opportunities to identify Efimov trimers whenever access to excited states is limited.