Single- to many-body crossover of a quantum carpet

TL;DR

This paper investigates how a quantum carpet pattern in a bosonic system transitions from single-particle coherence to many-body fermionization, revealing the effects of interactions on quantum interference patterns.

Contribution

It provides an exact analysis of the single- to many-body crossover in a bosonic system using Gaudin solutions, highlighting the revival of quantum patterns in the strongly interacting regime.

Findings

Quantum carpet pattern is destroyed by weak-to-moderate interactions.

Pattern is revived in the strongly interacting fermionized regime.

The study tracks the entire crossover from single- to many-body behavior.

Abstract

Strongly interacting many-body system of bosons exhibiting the quantum carpet pattern is investigated exactly by using Gaudin solutions. We show that this highly coherent design usually present in noninteracting, single-body scenarios gets destroyed by weak-to-moderate interatomic interactions in an ultracold bosonic gas trapped in a box potential. However, it becomes revived in a very strongly interacting regime, when the system undergoes fermionization. We track the whole single- to many-body crossover, providing an analysis of de- and rephasing present in the system.