Maximilien Barbier

Université libre de Bruxelles

Reduction (mathematics)Magnetic fieldPhysicsStatistical physicsCurrent (mathematics)Class (set theory)T-symmetryNonlinear systemCumulantOpen system (systems theory)Extension (predicate logic)Direct consequenceSymmetry (physics)Euler's formulaClassical mechanicsNon-equilibrium thermodynamicsExpression (computer science)

7Publications

3H-index

21Citations

Publications 11

Newest

#1Maximilien BarbierH-Index: 3

#2Arseni GoussevH-Index: 13

Diffraction in time manifests itself as the appearance of probability-density fringes when a matter wave passes through an opaque screen with abrupt temporal variation of transmission properties. Here we analytically describe the phase-space structure of diffraction-in-time fringes for a class of smooth time gratings. More precisely, we obtain an analytic expression for the Husimi distribution representing the state of the system in the case of time gratings comprising a succession of Lorentzian...

#1Maximilien Barbier (MPG: Max Planck Society)H-Index: 3

#2Arseni GoussevH-Index: 13

In its standard formulation, quantum backflow is a classically impossible phenomenon in which a free quantum particle in a positive-momentum state exhibits a negative probability current. Recently, Miller et al. [Quantum 5, 379 (2021)] have put forward a new, "experiment-friendly" formulation of quantum backflow that aims at extending the notion of quantum backflow to situations in which the particle's state may have both positive and negative momenta. Here, we investigate how the experiment-fri...

Quantum backflow is the classically-forbidden effect pertaining to the fact that a particle with a positive momentum may exhibit a negative probability current at some space-time point. We investigate how this peculiar phenomenon extends to many-particle systems. We give a general formulation of quantum backflow for systems formed of Nfree nonrelativistic structureless particles, either identical or distinguishable. Restricting our attention to bosonic systems where the Nidentical bosons a...

#1Maximilien Barbier (ULB: Université libre de Bruxelles)H-Index: 3

#2Pierre Gaspard (ULB: Université libre de Bruxelles)H-Index: 69

The consequences of microreversibility for the linear and nonlinear transport properties of systems subjected to external magnetic fields are systematically investigated in Aharonov-Bohm rings connected to two, three, and four terminals. Within the independent electron approximation, the cumulant generating function, which fully specifies the statistics of the nonequilibrium currents, is expressed in terms of the scattering matrix of these circuits. The time-reversal symmetry relations up to the...

#1Maximilien BarbierH-Index: 3

#2Pierre GaspardH-Index: 69

Microreversibility constrains the fluctuations of the nonequilibrium currents that cross an open system. This can be seen from the so-called fluctuation relations, which are a direct consequence of microreversibility. Indeed, the latter are known to impose time-reversal symmetry relations on the statistical cumulants of the currents and their responses at arbitrary orders in the deviations from equilibrium. Remarkably, such relations have been recently analyzed by means of Euler's polynomials. H...

#1Maximilien BarbierH-Index: 3

#2Pierre GaspardH-Index: 69

For open systems subjected to external magnetic fields, relations between the statistical cumulants of their fluctuating currents and their response coefficients are established at arbitrary orders in the deviations from equilibrium, as a consequence of microreversibility. These relations are systematically deduced from the extension of the fluctuation relation for this class of systems, and analyzed by using methods developed in [M. Barbier and P. Gaspard, J. Phys. A: Math. Theor. 51 (2018) 355...

#1Maximilien BarbierH-Index: 3

#2Pierre GaspardH-Index: 69

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary orders in the deviations from equilibrium obey time-reversal symmetry relations, as established in quantum statistical mechanics. It is shown that some of these relations satisfy recurrences that can be simplified by means of the coefficients of Euler polynom...

#1Maximilien BarbierH-Index: 3

Atom-laser interaction is at the heart of the vibrant field of quantum optics. The dynamical properties of a moving atom submitted to a laser radiation are strongly influenced by the position- and time-dependence of the latter. The full physical state of the atom must include information about the centre-of-mass motion and the internal structure of the atom. It is challenging to obtain a complete description of the full state of the atom. However, there exists an alternative approach to the dyna...

#1Maximilien BarbierH-Index: 3

#2Mathieu BeauH-Index: 13

Last. Arseni GoussevH-Index: 13

view all 3 authors...

#1Maximilien Barbier (Northumbria University)H-Index: 3

#2Mathieu Beau (University of Massachusetts Boston)H-Index: 13

Last. Arseni GoussevH-Index: 13

view all 3 authors...

We report a quantitative, analytical, and numerical comparison between two models of the interaction of a nonrelativistic quantum particle with a thin time-dependent absorbing barrier. The first model represents the barrier by a set of time-dependent discontinuous matching conditions, which are closely related to Kottler boundary conditions used in stationary-wave optics as a mathematical basis for Kirchhoff diffraction theory. The second model mimics the absorbing barrier with an off-diagonal δ...

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