4 papers
The Euclidean theory as a limit of an inhomogeneous Bose gas
Cristina Caraci, Antti Knowles, Alessio Ranallo +1
We prove that the grand canonical Gibbs state of an interacting two-dimensional quantum Bose gas confined by a trapping potential converges to the complex Euclidean field theory wi…
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…
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…