34 citations · 172 across the 29 of their papers we have counts for
34 papers
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
Global weak solutions to the Quantum Navier-Stokes system in the whole space with a confining external potential
Jérémy Faupin, Ingrid Lacroix-Violet, Julien Lequeurre
We consider a dissipative quantum fluid on the whole space () confined by an external harmonic potential. The dynamics of the quantum fluid is described by…
Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
A. Alexander, J. Faupin, S. Richard
We consider dissipative Schroedinger operators of the form on , with a complex, bounded and decaying potential with a non-positive imaginary pa…
Light cones for open quantum systems
Sébastien Breteaux, Jérémy Faupin, Marius Lemm +3
We consider Markovian open quantum dynamics (MOQD). We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite s…
Quasi-classical Ground States. II. Standard Model of Non-relativistic QED
Sébastien Breteaux, Jérémy Faupin, Jimmy Payet
We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute…
Maximal Speed of Propagation in Open Quantum Systems
Sébastien Breteaux, Jérémy Faupin, Marius Lemm +1
We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The dynamics are described by one-parameter semi-groups of quantum channels satisfying the von…
Quasi-classical Ground States. I. Linearly Coupled Pauli-Fierz Hamiltonians
Sébastien Breteaux, Jérémy Faupin, Jimmy Payet
We consider a spinless, non-relativistic particle bound by an external potential and linearly coupled to a quantized radiation field. The energy of product state…
Spectral decomposition of some non-self-adjoint operators
Jérémy Faupin, Nicolas Frantz
We consider non-self-adjoint operators in Hilbert spaces of the form , where is self-adjoint, is bounded and is a metric operator, bounded and relative…
Perturbed Bessel operators
Jan Dereziński, Jérémy Faupin
We study perturbed Bessel operators on , where and is a complex locally integra…
Maximal speed for macroscopic particle transport in the Bose-Hubbard model
Jérémy Faupin, Marius Lemm, Israel Michael Sigal
The Lieb-Robinson bound asserts the existence of a maximal propagation speed for the quantum dynamics of lattice spin systems. Such general bounds are not available for most bosoni…
On Lieb-Robinson bounds for the Bose-Hubbard model
Jérémy Faupin, Marius Lemm, Israel Michael Sigal
We consider the dynamics of the Bose-Hubbard model on general lattices and prove a Lieb-Robinson bound for observables whose supports are separated by an initially almost particle-…
Generic nature of asymptotic completeness in dissipative scattering theory
Jérémy Faupin
We review recent results obtained in the scattering theory of dissipative quantum systems representing the long-time evolution of a system interacting with another system …
On radial Schroedinger operators with a Coulomb potential: General boundary conditions
J. Derezinski, J. Faupin, Q. N. Nguyen +1
This paper presents the spectral analysis of 1-dimensional Schroedinger operator on the half-line whose potential is a linear combination of the Coulomb term 1/r and the centrifuga…
Hamiltonian models of interacting fermion fields in Quantum Field Theory
Benjamin Alvarez, Jérémy Faupin, Jean-Claude Guillot
We consider hamiltonian models representing an arbitrary number of spin fermion quantum fields interacting through arbitrary processes of creation or annihilation of particle…
Scattering Theory for Mathematical Models of the Weak Interaction
Benjamin Alvarez, Jérémy Faupin
We consider mathematical models of the weak decay of the vector bosons into leptons. The free quantum field hamiltonian is perturbed by an interaction term from the stand…
One-Boson Scattering Processes in the massive Spin-Boson Model
Miguel Ballesteros, Dirk-André Deckert, Jérémy Faupin +1
The Spin-Boson model describes a two-level quantum system that interacts with a second-quantized boson scalar field. Recently the relation between the integral kernel of the scatte…
Scattering matrices for dissipative quantum systems
Jérémy Faupin, Francois Nicoleau
We consider a quantum system S interacting with another system S and susceptible of being absorbed by S. The effective, dissipative dynamics of S is supposed to be generated by an…
Asymptotic completeness in dissipative scattering theory
Jérémy Faupin, Jürg Fröhlich
We consider an abstract pseudo-Hamiltonian for the nuclear optical model, given by a dissipative operator of the form , where is self-adjoint and…
Local Decay for Weak Interactions with Massless Particles
Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot
We consider a mathematical model for the weak decay of the intermediate boson into neutrinos and antineutrinos. We prove that the total Hamiltonian has a unique ground state…
Scattering theory for Lindblad master equations
Marco Falconi, Jérémy Faupin, Jürg Fröhlich +1
We study scattering theory for a quantum-mechanical system consisting of a particle scattered off a dynamical target that occupies a compact region in position space. After taking…
Spectral Analysis of a Model for Quantum Friction
Stephan De Bièvre, Jérémy Faupin, Baptiste Schubnel
An otherwise free classical particle moving through an extended spatially homogeneous medium with which it may exchange energy and momentum will undergo a frictional drag force in…
On the probabilistic nature of quantum mechanics and the notion of closed systems
Jérémy Faupin, Jürg Fröhlich, Baptiste Schubnel
The notion of "closed systems" in Quantum Mechanics is discussed. For this purpose, we study two models of a quantum-mechanical system spatially far separated from the "rest of…
Spectral Theory near Thresholds for Weak Interactions with Massive Particles
Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot
We consider a Hamiltonian describing the weak decay of the massive vector boson Z0 into electrons and positrons. We show that the spectrum of the Hamiltonian is composed of a uniqu…
Quantum Electrodynamics of Atomic Resonances
Miguel Ballesteros, Jérémy Faupin, Jürg Fröhlich +1
A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass , finitely many excited states and an electric dipole momen…