Physics Commons^™

Artificial Atoms From Cold Bosons In One Dimension, Fabian Brauneis, Timothy G. Backert, Simeon I. Mistakidis, Mikhail Lemeshko, Hans Werner Hammer, Artem G. Volosniev

Physics Faculty Research & Creative Works

We Investigate The Ground-State Properties Of Weakly Repulsive One-Dimensional Bosons In The Presence Of An Attractive Zero-Range Impurity Potential. First, We Derive Mean-Field Solutions To The Problem On A Finite Ring For The Two Asymptotic Cases: (I) All Bosons Are Bound To The Impurity And (Ii) All Bosons Are In A Scattering State. Moreover, We Derive The Critical Line That Separates These Regimes In The Parameter Space. In The Thermodynamic Limit, This Critical Line Determines The Maximum Number Of Bosons That Can Be Bound By The Impurity Potential, Forming An Artificial Atom. Second, We Validate The Mean-Field Results Using The …