4 papers
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…
Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation
Cristina Caraci, Jakob Oldenburg, Benjamin Schlein
We consider the evolution of a gas of bosons in the three-dimensional Gross-Pitaevskii regime (in which particles are initially trapped in a volume of order one and interact th…