4 papers
Existence and absence of Bose-Einstein condensation in the interacting random Kac-Luttinger model
C. Boccato, J. Kerner, M. Pechmann +1
In this paper, we study interacting bosons at zero temperature in a random and higher-dimensional continuum model introduced by Kac and Luttinger. For weak interactions we prove th…
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…
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 temperatur…
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…