Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Cenatiempo, Serena"'
Autor:
Basti, Giulia, Cenatiempo, Serena, Giuliani, Alessandro, Olgiati, Alessandro, Pasqualetti, Giulio, Schlein, Benjamin
We consider a gas of bosons interacting through a hard-sphere potential with radius $\frak{a}$ in the thermodynamic limit. We derive a simple upper bound for the ground state energy per particle at low density. Our bound captures the leading term $4\
Externí odkaz:
http://arxiv.org/abs/2212.04431
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 though a proof of Bose-Einstein condensation in the thermodynamic lim
Externí odkaz:
http://arxiv.org/abs/2209.11714
We consider a system of $N$ bosons, in the two-dimensional unit torus. We assume particles to interact through a repulsive two-body potential, with a scattering length that is exponentially small in $N$ (Gross-Pitaevskii regime). In this setting, we
Externí odkaz:
http://arxiv.org/abs/2205.12218
Autor:
Basti, Giulia, Cenatiempo, Serena, Olgiati, Alessandro, Pasqualetti, Giulio, Schlein, Benjamin
We prove an upper bound for the ground state energy of a Bose gas consisting of $N$ hard spheres with radius $\mathfrak{a}/N$, moving in the three-dimensional unit torus $\Lambda$. Our estimate captures the correct asymptotics of the ground state ene
Externí odkaz:
http://arxiv.org/abs/2203.11917
Autor:
Basti, Giulia, Cenatiempo, Serena, Olgiati, Alessandro, Pasqualetti, Giulio, Schlein, Benjamin
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 spheres. Afterwards, we discuss a rigorous version of Bogoliubov theo
Externí odkaz:
http://arxiv.org/abs/2202.10270
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 the Lee-Huang-Yang formula. This result has been first established in J.
Externí odkaz:
http://arxiv.org/abs/2101.06222
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 small in the number of particles. We show that low-energy states exhi
Externí odkaz:
http://arxiv.org/abs/2011.05962
Autor:
Cenatiempo, Serena
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 provides expressions for the thermodynamic functions which are believed to be
Externí odkaz:
http://arxiv.org/abs/1903.08208
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 the number of orthogonal excitations. This extends recent results obta
Externí odkaz:
http://arxiv.org/abs/1812.03086
We consider Bose gases consisting of $N$ particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order $N^{-1}$(Gross-Pitaevskii regime). We determine the ground state energy and the low-
Externí odkaz:
http://arxiv.org/abs/1801.01389