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Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
Cristina Caraci, Alessandro Olgiati, Diane Saint Aubin +1
For a translation invariant system of bosons in the Gross-Pitaevskii regime, we establish a precise bound for the ground state energy . While the leading, order , contr…
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…
Upper bound for the ground state energy of a dilute Bose gas of hard spheres
Giulia Basti, Serena Cenatiempo, Alessandro Giuliani +3
We consider a gas of bosons interacting through a hard-sphere potential with radius in the thermodynamic limit. We derive a simple upper bound for the ground state energ…