# A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures

## TL;DR

This paper introduces a unified computational method, ML-MCTDHX, for simulating the correlated quantum dynamics of ultracold mixtures of fermions and bosons, capturing intra- and inter-species correlations beyond mean-field approximations.

## Contribution

The authors extend the ML-MCTDHB method to fermionic systems, creating a versatile approach for studying correlated dynamics in mixed quantum gases.

## Key findings

- Demonstrated the method on Bose-Fermi and Fermi-Fermi collisions.
- Showed correlations significantly influence transmission and reflection.
- Identified correlation-driven effects beyond mean-field predictions.

## Abstract

We extent the recently developed Multi-Layer Multi-Configuration Time-Dependent Hartree method for Bosons (ML-MCTDHB) for simulating the correlated quantum dynamics of bosonic mixtures to the fermionic sector and establish a unifying approach for the investigation of the correlated quantum dynamics of mixture of indistinguishable particles, be it fermions or bosons. Relying on a multi-layer wave-function expansion, the resulting Multi-Layer Multi-Configuration Time-Dependent Hartree method for Mixtures (ML-MCTDHX) can be adapted to efficiently resolve system-specific intra- and inter-species correlations. The versatility and efficiency of ML-MCTDHX is demonstrated by applying it to the problem of colliding few-atom mixtures of both Bose-Fermi and Fermi-Fermi type. Thereby, we elucidate the role of correlations in the transmission and reflection properties of the collisional events. In particular, we present examples where the reflection (transmission) at the other atomic species is a correlation-dominated effect, i.e.\ it is suppressed in the mean-field approximation.