Management of the Correlations of Ultracold Bosons in Triple Wells

TL;DR

This paper explores how the interplay of interaction strength and tilt in a triple-well potential influences the correlation, fragmentation, and many-body states of ultracold bosons, providing insights into controllable quantum correlations.

Contribution

It introduces a method to control correlations and fragmentation in ultracold bosons by tuning interaction strength and tilt in a triple-well system.

Findings

Correlation control via tilt and interaction strength

Fragmentation linked to eigenvalues of the density matrix

Characterization of many-body states using correlation functions

Abstract

Ultracold interacting atoms are an excellent tool to study correlation functions of many-body systems that are generally eluding detection and manipulation. Herein, we investigate the ground state of bosons in a tilted triple-well potential and characterize the many-body state by the eigenvalues of its reduced one-body density matrix and Glauber correlation functions. We unveil how the interplay between the interaction strength and the tilt can be used to control the number of correlated wells as well as the fragmentation, i.e. the number of macroscopic eigenvalues of the reduced one-body density matrix.