262 citations · 947 across the 34 of their papers we have counts for
37 papers
Response functions of many-body condensed matter systems
Marcello Porta, Vieri Mastropietro, Alessandro Giuliani
We discuss rigorous results about the response functions of gapped and gapless interacting fermionic lattice models, relevant for the study of transport in condensed matter physics…
Adiabatic Evolution of Low-Temperature Many-Body Systems
Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli +1
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly varying time-dependen…
Effective Dynamics of Extended Fermi Gases in the High-Density Regime
Luca Fresta, Marcello Porta, Benjamin Schlein
We study the quantum evolution of many-body Fermi gases in three dimensions, in arbitrarily large domains. We consider both particles with non-relativistic and with relativistic di…
Multi-Channel Luttinger Liquids at the Edge of Quantum Hall Systems
Vieri Mastropietro, Marcello Porta
We consider the edge transport properties of a generic class of interacting quantum Hall systems on a cylinder, in the infinite volume and zero temperature limit. We prove that the…
Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
Niels Benedikter, Marcello Porta, Benjamin Schlein +1
Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interactio…
Bosonization of Fermionic Many-Body Dynamics
Niels Benedikter, Phan Thành Nam, Marcello Porta +2
We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial d…