5 papers
The inverse problem of time-dependent density functional theory on the torus
Asbjørn Bækgaard Lauritsen, Mathieu Lewin, Jakob Oldenburg
We prove that, for any given sufficiently regular one-particle density, there exists a unique external potential for which the solution to the many-body Schrödinger equation has th…
A Note on the Construction of Trial States for the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin
We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the gr…
Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin +1
We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted…
A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
Christian Brennecke, Morris Brooks, Cristina Caraci +1
We consider dilute Bose gases on the three dimensional unit torus that interact through a pair potential with scattering length of order , for some . For the range $…
On Ground States of the Bogoliubov Energy Functional: A Direct Proof
Jakob Oldenburg
The Bogoliubov energy functional proposed recently by Napiórkowski, Reuvers and Solovej is revisited. We offer a direct proof of the existence of minimizers at zero temperature, wh…