Collision of one dimensional (1D) spin polarized Fermi gases in an optical lattice

TL;DR

This paper investigates the collision dynamics of spin-polarized 1D Fermi gases in an optical lattice using TEBD simulations, revealing symmetry in interaction types and analyzing pair formation mechanisms.

Contribution

It introduces a detailed numerical study of fermionic cloud collisions in 1D lattices, highlighting symmetry in interaction effects and providing a simplified model for pair formation.

Findings

Symmetry observed between attractive and repulsive interactions.

Quantitative analysis of pair formation dynamics.

Validation of a simple two-site model for pair formation.

Abstract

In this work we analyze the dynamical behavior of the collision between two clouds of fermionic atoms with opposite spin polarization. By means of the time-evolving block decimation (TEBD) numerical method, we simulate the collision of two one-dimensional clouds in a lattice. There is a symmetry in the collision behaviour between the attractive and repulsive interactions. We analyze the pair formation dynamics in the collision region, providing a quantitative analysis of the pair formation mechanism in terms of a simple two-site model.