Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Basti, Giulia"'
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
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
We consider a system of $N$ bosons in a unitary box in the grand-canonical setting interacting through a potential with scattering length scaling as $N^{-1+\kappa},$ $\kappa\in (0,2/3).$ This regimes interpolate between the Gross-Pitaevskii regime ($
Externí odkaz:
http://arxiv.org/abs/2203.01841
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
Publikováno v:
Ann. Henri Poincar\'e (2022)
We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the center phenomenon emerging in the standard Ter-Martirosyan--Skornyakov (TMS) Hamiltonian, known as
Externí odkaz:
http://arxiv.org/abs/2107.07188
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 a Hamiltonian describing three quantum particles in dimension one interacting through two-body short-range potentials. We prove that, as a suitable scale parameter in the potential terms goes to zero, such Hamiltonian converges to one wit
Externí odkaz:
http://arxiv.org/abs/1803.08358
We consider a quantum particle interacting with $N$ obstacles, whose positions are independently chosen according to a given probability density, through a two-body potential of the form $N^2 V(Nx)$ (Gross-Pitaevskii potential). We show convergence o
Externí odkaz:
http://arxiv.org/abs/1710.10249
Autor:
Basti, Giulia, Teta, Alessandro
We consider a three-particle quantum system in dimension three composed of two identical fermions of mass one and a different particle of mass $m$. The particles interact via two-body short range potentials. We assume that the Hamiltonians of all the
Externí odkaz:
http://arxiv.org/abs/1702.08832