Effects of Efimov states on quench dynamics in a three-boson trapped system

TL;DR

This paper explores how Efimov states influence the post-quench dynamics of three bosons in a trap, providing semi-analytic results for observable signals after interaction strength changes.

Contribution

It introduces a semi-analytic approach to study Efimov state effects on quench dynamics in a three-boson system using hyperspherical solutions.

Findings

Ramsey signal shows characteristic oscillations influenced by Efimov states.

Particle separation dynamics reveal signatures of Efimov resonances.

Results vary depending on initial and final interaction strengths.

Abstract

We investigate the effects of Efimov states on the post-quench dynamics of a system of three identical bosons with contact interactions, in a spherically-symmetric three-dimensional harmonic trap, which undergoes a quench in interaction strength. Using known hyperspherical solutions to the static three-body problem we calculate semi-analytic results for the Ramsey signal and particle separation as functions of time after the system is quenched. We consider the quench from the non-interacting to strongly interacting and vice versa for a variety of possible Efimov state energies.