6 papers
Quantum Landau Damping with Coulomb Repulsion in the Whole Space
Dongfen Bian, Emmanuel Grenier, Laurent Laflèche +1
In this paper, we study the large time behavior of solutions to the linearized Hartree equation near a stable equilibrium which is homogeneous in space and investigate the quantum…
Commutator Estimates for Low-Temperature Fermi Gases
Jacky J. Chong, Laurent Lafleche, Jinyeop Lee +1
We investigate the semiclassical regularity of thermal equilibria in the presence of a harmonic potential at low temperature; that is, we obtain the asymptotic behavior of the Scha…
Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities
Laurent Lafleche
This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobole…
Commutator Estimates and Quantitative Local Weyl's Law for Schrödinger Operators with Non-Smooth Potentials
Esteban Cárdenas, Laurent Lafleche
We analyze semi-classical Schrödinger operators with potentials of class and establish commutator estimates for the associated projection operators in Schatten norms. T…
Semiclassical Limit of the Bogoliubov-de Gennes Equation
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
In this paper, we rewrite the time-dependent Bogoliubov$\unicode{x2013}$de Gennes equation in an appropriate semiclassical form and establish its semiclassical limit to a two-parti…
Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson
Mikaela Iacobelli, Laurent Lafleche
In this paper we establish almost-optimal stability estimates in quantum optimal transport pseudometrics for the semiclassical limit of the Hartree dynamics to the Vlasov-Poisson e…