72 citations · 261 across the 19 of their papers we have counts for
20 papers
Lee-Huang-Yang Energy for Dilute Bose Gases: an Upper Bound for General Potentials
Giulia Basti, Morris Brooks, Serena Cenatiempo +2
We establish an upper bound for the ground state energy density of a dilute Bose gas, interacting through a general short-range, repulsive potential. To reach this goal, we extend…
The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper bound
Giulia Basti, Morris Brooks, Serena Cenatiempo +2
We consider a quantum gas consisting of hard spheres with radius , obeying bosonic statistics and moving in the box with periodic boundary conditions…
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…
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…
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…
Ground state energy of a Bose gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We review some rigorous estimates for the ground state energy of dilute Bose gases. We start with Dyson's upper bound, which provides the correct leading order asymptotics for hard…
A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We prove an upper bound for the ground state energy of a Bose gas consisting of hard spheres with radius , moving in the three-dimensional unit torus . Our e…
A new second order upper bound for the ground state energy of dilute Bose gases
Giulia Basti, Serena Cenatiempo, Benjamin Schlein
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second order term, as predicted by th…
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…
Bogoliubov theory for dilute bose gases: the Gross-Pitaevskii Regime
Serena Cenatiempo
In 1947 Bogoliubov suggested a heuristic theory to compute the excitation spectrum of weakly interacting Bose gases. Such a theory predicts a linear excitation spectrum and provide…
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…
Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii potentials
Giulia Basti, Serena Cenatiempo, Alessandro Teta
We consider a quantum particle interacting with obstacles, whose positions are independently chosen according to a given probability density, through a two-body potential of th…
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…
Analysis of fluctuations around non linear effective dynamics
Serena Cenatiempo
We consider the derivation of effective equations approximating the many-body quantum dynamics of a large system of bosons in three dimensions, interacting through a two-body p…
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…
Renormalization theory of a two dimensional Bose gas: quantum critical point and quasi-condensed state
Serena Cenatiempo, Alessandro Giuliani
We present a renormalization group construction of a weakly interacting Bose gas at zero temperature in the two-dimensional continuum, both in the quantum critical regime and in th…
Low dimensional interacting bosons
Serena Cenatiempo
The theory of ultracold, dilute Bose gases is the subject of intensive studies, driven by new experimental applications, which also motivate the study of Bose-Einstein condensation…