Collision of one-dimensional fermion clusters

TL;DR

This paper investigates quantum effects in one-dimensional fermion cluster collisions, revealing enhanced transmittance due to strong interactions and proposing a simple collision model to explain these phenomena.

Contribution

It introduces a concise one-to-one collision model that explains quantum effects in 1D fermion cluster collisions with contact interactions, validated by DMRG simulations.

Findings

Quantum effects significantly increase transmittance at strong interactions.

The proposed model accurately describes collision dynamics.

Potential applications include repeated collision scenarios.

Abstract

We study cluster-cluster collisions in one-dimensional Fermi systems with particular emphasis on the non-trivial quantum effects of the collision dynamics. We adopt the Fermi-Hubbard model and the time-dependent density matrix renormalization group method to simulate collision dynamics between two fermion clusters of different spin states with contact interaction. It is elucidated that the quantum effects become extremely strong with the interaction strength, leading to the transmittance much more enhanced than expected from semiclassical approximation. We propose a concise model based on one-to-one collisions, which unveils the origin of the quantum effects and also explains the overall properties of the simulation results clearly. Our concise model can quite widely describe the one-dimensional collision dynamics with contact interaction. Some potential applications, such as repeated collisions, are addressed.