72 citations · 219 across the 11 of their papers we have counts for
12 papers
A new upper bound on the specific free energy of dilute Bose gases
Giulia Basti, Chiara Boccato, Serena Cenatiempo +1
We prove an upper bound for the free energy (per unit volume) of the dilute Bose gas in the thermodynamic limit, showing that the free energy at density and inverse temperature…
On distances among Slater Determinant States and Determinantal Point Processes
Chiara Boccato, Francesca Pieroni, Dario Trevisan
Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting Fermionic behav…
Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic Field
Niels Benedikter, Chiara Boccato, Domenico Monaco +1
We study the quantum dynamics of a large number of interacting fermionic particles in a constant magnetic field. In a coupled mean-field and semiclassical scaling limit, we show th…
On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
Chiara Boccato, Joachim Kerner, Maximilian Pechmann
We study interacting Bose gases of dimensions at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between t…
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
Chiara Boccato, Andreas Deuchert, David Stocker
We consider a homogeneous Bose gas in the Gross-Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose-Einstein condensation in the ideal gas. Ou…
The Bose gas in a box with Neumann boundary conditions
Chiara Boccato, Robert Seiringer
We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound…
The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime
Chiara Boccato
We consider a gas of interacting bosons trapped in a box of side length one in the Gross-Pitaevskii limit. We review the proof of the validity of Bogoliubov's prediction for the gr…
Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider systems of bosons trapped in a box, in the Gross-Pitaevskii regime. We show that low-energy states exhibit complete Bose-Einstein condensation with an optimal bound on…
Bogoliubov Theory in the Gross-Pitaevskii Limit
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider Bose gases consisting of particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order (Gross…
The excitation spectrum of Bose gases interacting through singular potentials
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider systems of bosons in a box with volume one, interacting through a repulsive two-body potential of the form . For all , and for sufficie…
Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
Chiara Boccato, Christian Brennecke, Serena Cenatiempo +1
We consider a gas of bosons in a box with volume one interacting through a two-body potential with scattering length of order (Gross-Pitaevskii limit). Assuming the (u…
Quantum many-body fluctuations around nonlinear Schrödinger dynamics
Chiara Boccato, Serena Cenatiempo, Benjamin Schlein
We consider the many body quantum dynamics of systems of bosons interacting through a two-body potential , scaling with the number of particles . For $0< β< 1…