4 papers
Existence of Solutions for time-dependent fractional Kohn-Sham Equations
Sébastien Breteaux, Michele Fantechi, Jérémy Faupin
We consider time-dependent Kohn-Sham equations in dimension with a fractional dispersion relation , , and a class of interaction terms including, in p…
Bosonization of Noise Effects in Nonlocal Quantum Dynamics
Michele Fantechi, Marco Merkli
Quantum systems that interact non-locally with an environment are paradigms for exploring collective phenomena. They naturally emerge in various physical contexts involving long-ra…
Quantum systems coupled to environments via mean field interactions
Michele Fantechi, Marco Merkli
We show that when a quantum system is coupled to an environment in a mean field way, then its effective dynamics is governed by a unitary group with a time-dependent Hamiltonian. T…
Quasi-classical Limit of a Spin Coupled to a Reservoir
Michele Correggi, Marco Falconi, Michele Fantechi +1
A spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter {\varepsilon} interpolating between quantum and classical reservoir features.…