Dynamical excitation processes and correlations of three-body two-dimensional mixtures

TL;DR

This paper proposes a method to dynamically excite specific eigenstates in three-body Bose-Fermi mixtures in 2D traps, revealing how initial conditions influence correlations and state populations, with implications for experimental control.

Contribution

It introduces a scheme to selectively excite few-body states in 2D Bose-Fermi mixtures through interaction quenches, analyzing correlation development and spectral features.

Findings

Superpositions of trimers and atom-dimers are achieved depending on initial spatial width.

Short-range correlations increase during evolution, evidenced by Tan contacts.

Initial state size affects the participation of atom-dimers and trap states.

Abstract

A scheme is proposed to dynamically excite distinct eigenstate superpositions in three-body Bose-Fermi mixtures confined in a two-dimensional harmonic trap. The system is initialized in a non-interacting state with a variable spatial extent, and the scattering lengths are subsequently quenched. For spatial widths smaller than the three-body harmonic oscillator length, a superposition of trimers and atom-dimers is dynamically attained, otherwise trap states are predominantly populated. Accordingly, the Tan contacts evince the build-up of short range two- and three-body correlations in the course of the evolution. A larger spatial extent of the initial state leads to a reduction of few-body correlations, endowed however with characteristic peaks at the positions of the avoided-crossings in the energy spectra, thereby signalling the participation of atom-dimers. Our results expose ways to dynamically excite selectively trimers, atom-dimers and trapped few-body states characterized by substantial correlations and likely to be accessible within current experiments.