Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap

TL;DR

This paper investigates the non-equilibrium dynamics of a three-body fermionic system with mass imbalance in a spherical trap, using exact solutions to analyze how the system responds to interaction quenches.

Contribution

It introduces an exact hyperspherical solution approach for mass-imbalanced three-body systems to study their time-dependent behavior after interaction quenches.

Findings

Calculated Ramsey signal dynamics post-quench.

Analyzed particle separation evolution after interaction changes.

Provided exact solutions for mass-imbalanced three-body systems.

Abstract

We consider a system of two identical fermions of general mass interacting with a third distinguishable particle via a contact interaction within an isotropic three-dimensional harmonic trap. We calculate time-dependent observables of the system after it is quenched in s-wave scattering length. To do this we use exact closed form mass-imbalanced hyperspherical solutions to the static three-body problem. These exact solutions enable us to calculate two time-dependent observables, the Ramsey signal and particle separation, after the system undergoes a quench from non-interacting to the unitary regime or vice-versa.