18 citations · 36 across the 7 of their papers we have counts for
7 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…
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 $…
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…
Energy expansions for dilute Bose gases from local condensation results: a review of known results
Giulia Basti, Cristina Caraci, Serena Cenatiempo
Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even…
The excitation spectrum of two dimensional Bose gases in the Gross-Pitaevskii regime
Cristina Caraci, Serena Cenatiempo, Benjamin Schlein
We consider a system of bosons, in the two-dimensional unit torus. We assume particles to interact through a repulsive two-body potential, with a scattering length that is expo…
Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
Cristina Caraci, Serena Cenatiempo, Benjamin Schlein
We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially…