Andreev-like reflections with cold atoms

TL;DR

This paper proposes a cold atom setup to observe Andreev-like reflections in 1D systems, using time-dependent simulations to analyze wavepacket dynamics across interaction boundaries, aligning with Luttinger liquid theory and feasible in current experiments.

Contribution

It introduces a cold atom experimental scheme to observe Andreev-like reflections with detailed time-dependent analysis, bridging theory and practical implementation.

Findings

Good agreement with Luttinger liquid predictions

Feasible with current Bose-Hubbard experiments

Demonstrates wavepacket reflection phenomena in 1D systems

Abstract

We propose a setup in which Andreev-like reflections predicted for 1D transport systems could be observed time-dependently using cold atoms in a 1D optical lattice. Using time-dependent Density Matrix Renormalisation Group methods we analyse the wavepacket dynamics as a density excitation propagates across a boundary in the interaction strength. These phenomena exhibit good correspondence with predictions from Luttinger liquid models and could be observed in current experiments in the context of the Bose-Hubbard model.