62 citations · 385 across the 27 of their papers we have counts for
27 papers
What is special about the Kirkwood-Dirac distributions? Only they produce natural conditional expectations
Matéo Spriet, Christopher Langrenez, Raymond Brummelhuis +1
Among the many quasiprobability representations of quantum mechanics, the family of Kirkwood-Dirac (KD) representations has come to the foreground in recent years. Each such KD rep…
Contextuality Can be Verified with Noncontextual Experiments
Jonathan J. Thio, Wilfred Salmon, Crispin H. W. Barnes +2
We uncover new features of generalized contextuality by connecting it to the Kirkwood-Dirac (KD) quasiprobability distribution. Quantum states can be represented by KD distribution…
Convex roofs witnessing Kirkwood-Dirac nonpositivity
Christopher Langrenez, Stephan De Bièvre, David R. M. Arvidsson-Shukur
Given two observables and , one can associate to every quantum state a Kirkwood-Dirac (KD) quasiprobability distribution. KD distributions are like joint classical probabili…
Properties and Applications of the Kirkwood-Dirac Distribution
David R. M. Arvidsson-Shukur, William F. Braasch, Stephan De Bievre +6
Recent years have seen the Kirkwood-Dirac (KD) distribution come to the forefront as a powerful quasi-probability distribution for analysing quantum mechanics. The KD distribution…
Rigorous results on approach to thermal equilibrium, entanglement, and nonclassicality of an optical quantum field mode scattering from the elements of a non-equilibrium quantum reservoir
Stephan De Bievre, Marco Merkli, Paul E. Parris
Rigorous derivations of the approach of individual elements of large isolated systems to a state of thermal equilibrium, starting from arbitrary initial states, are exceedingly rar…
Characterizing the geometry of the Kirkwood-Dirac positive states
Christopher Langrenez, David R. M. Arvidsson-Shukur, Stephan De Bièvre
The Kirkwood-Dirac (KD) quasiprobability distribution can describe any quantum state with respect to the eigenbases of two observables and . KD distributions behave similarl…
Modulational instability in randomly dispersion-managed fiber links
Andrea Armaroli, Guillaume Dujardin, Alexandre Kudlinski +3
We study modulational instability in a dispersion-managed system where the sign of the group-velocity dispersion is changed at uniformly distributed random distances around a refer…
Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state
Célia Griffet, Matthieu Arnhem, Stephan De Bièvre +1
Assessing whether a quantum state is nonclassical (, incompatible with a mixture of coherent states) is a ubiquitous question in quantum optics, yet a nontr…
Relating incompatibility, noncommutativity, uncertainty and Kirkwood-Dirac nonclassicality
Stephan De Bievre
We provide an in-depth study of the recently introduced notion of completely incompatible observables and its links to the support uncertainty and to the Kirkwood-Dirac nonclassica…
Decoherence and nonclassicality of photon-added/subtracted multi-mode Gaussian states
Anaelle Hertz, Stephan De Bièvre
Photon addition and subtraction render Gaussian states non-Gaussian. We provide a quantitative analysis of the change in nonclassicality produced by these processes by analyzing th…
Stochastic modulational instability in the nonlinear Schrödinger equation with colored random dispersion
Andrea Armaroli, Guillaume Dujardin, Alexandre Kudlinski +4
We study modulational instability (MI) in optical fibers with random group-velocity dispersion (GVD). We consider Gaussian and dichotomous colored stochastic processes. We resort t…
Kirkwood-Dirac nonclassicality, support uncertainty and complete incompatibility
Stephan De Bievre
Given two orthonormal bases in a d-dimensional Hilbert space, one associates to each state its Kirkwood-Dirac (KD) quasi-probability distribution. KD-nonclassical states - for whic…
A rigourous demonstration of the validity of Boltzmann's scenario for the spatial homogenization of a freely expanding gas and the equilibration of the Kac ring
Stephan De Bievre, Paul E. Parris
Boltzmann provided a scenario to explain why individual macroscopic systems composed of a large number of microscopic constituents are inevitably (i.e., with overwhelming proba…
Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups
Stephan De Bievre, Simona Rota Nodari
We consider the orbital stability of relative equilibria of Hamiltonian dynamical systems on Banach spaces, in the presence of a multi-dimensional invariance group for the dynamics…
Dynamical mechanisms leading to equilibration in two-component gases
Stephan De Bièvre, Carlos Mejía-Monasterio, Paul E. Parris
Demonstrating how microscopic dynamics cause large systems to approach thermal equilibrium remains an elusive, longstanding, and actively-pursued goal of statistical mechanics. We…
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…
Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schr{ö}dinger equations
Gaston Thiofack, Saliya Coulibaly, Majid Taki +2
It is shown that sufficiently large periodic modulations in the coefficients of a nonlinear Schr{ö}dinger equation can drastically impact the spatial shape of the Peregrine soliton…
Stochastic acceleration in a random time-dependent potential
Emilie Soret, Stephan De Bievre
We study the long time behaviour of the speed of a particle moving in under the influence of a random time-dependent potential representing the particle's environmen…
Orbital stability: analysis meets geometry
Stephan De Bievre, François Genoud, Simona Rota Nodari
We present an introduction to the orbital stability of relative equilibria of Hamiltonian dynamical systems on (finite and infinite dimensional) Banach spaces. A convenient formula…
Scattering induced current in a tight-binding band
Laurent Bruneau, Stephan De Bievre, Claude-Alain Pillet
In the single band tight-binding approximation, we consider the transport properties of an electron in a homogeneous static electric field. We show that repeated interactions of th…
Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases
S. De Bievre, P. E. Parris
We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a -dimensional a…
On (in)elastic non-dissipative Lorentz gases and the (in)stability of classical pulsed and kicked rotors
B. Aguer, S. De Bièvre
We study numerically and theoretically the -dimensional Hamiltonian motion of fast particles through a field of scatterers, modeled by bounded, localized, (time-dependent) poten…
Classical motion in force fields with short range correlations
B. Aguer, S. De Bievre, P. Lafitte +1
We study the long time motion of fast particles moving through time-dependent random force fields with correlations that decay rapidly in space, but not necessarily in time. The ti…
Dynamical Localization for the Random Dimer Model
S. De Bièvre, F. Germinet
We study the one-dimensional random dimer model, with Hamiltonian , where for all and where the are i.i.d. Bernoulli random variab…