Breit-Wigner width for two interacting particles in one-dimensional random potential

TL;DR

This paper analytically investigates how the Breit-Wigner width, local density of states, and TIP localization length depend on system parameters for two interacting particles in a 1D random potential, with predictions confirmed by simulations.

Contribution

It provides the first analytical determination of the Breit-Wigner width and related properties for TIP in 1D random systems, validated by numerical simulations.

Findings

Analytical expressions for Breit-Wigner width and localization length

Confirmation of theoretical predictions through numerical simulations

Insights into the dependence of TIP properties on system parameters

Abstract

For two interacting particles (TIP) in one-dimensional random potential the dependence of the Breit-Wigner width $\Gamma$, the local density of states and the TIP localization length on system parameters is determined analytically. The theoretical predictions for $\Gamma$ are confirmed by numerical simulations.