ATTENTION SALLE INHABITUELLE: salle 3-17, couloir 23-22, 3ème étage (grande salle INSP)

Deux docteurs dans le monde de l'entreprise

Boris Mantisi (Quatorze-IG, Paris) et Simon Moulieras (MyndBlue, Polytechnique)

La formation universitaire reste méconnue de la majorité des acteurs du secteur privé et les liens entre ces deux mondes sont encore trop peu développés. Pourtant, la formation universitaire, et notamment au travers de la réalisation d'une thèse, offre de nombreux atouts que le docteur doit absolument apprendre à valoriser afin de s'ouvrir les portes du privé. Deux docteurs en physique, anciens post-docs du LPTMC, interviennent pour partager leur saut vers l'entreprise. Simon Moulieras, data scientist chez MyndBlue, à Polytechnique et Boris Mantisi, data scientist chez Quatorze IG, bureau d'études d'ingénierie basé dans le 13 ème arrondissement de Paris. Chacun parlera 20 minutes et il y aura ensuite du temps de discussion.

Andrea De Luca (Oxford)

Solution of a minimal model for many-body quantum chaos

I will present a minimal model for quantum chaos in a spatially extended many-body system. It consists of a chain of sites with nearest-neighbour coupling under Floquet time evolution. Quantum states at each site span a q-dimensional Hilbert space and the time evolution is specified as a random circuit, which is random in space but periodic in time (Floquet). Each site is coupled via a random matrix to its neighbour on one side during the first half of the evolution period, and to its neighbour on the other side during the second half of the period. I will introduce a diagrammatic formalism useful to average the many-body dynamics over realisations of the random matrices. This approach leads to exact expressions in the large-q limit and sheds light on the universality of random matrices in many-body quantum systems and the ubiquitous entanglement growth in out-of-equilibrium dynamics. I will also discuss universal behaviour which goes beyond random matrix theory and the role played by space dimensionality which emerges through a mapping into the classical Potts model, exact at large q.

Thierry Dauxois (ENS Lyon & CNRS)

Energy cascade in internal wave attractors

Internal gravity waves play a primary role in geophysical fluids : they contribute significantly to mixing in the ocean and they redistribute energy and momentum in the middle atmosphere. In addition to their very interesting and very unusual theoretical properties, these waves are linked to one of the important questions in the dynamics of the oceans: the cascade of mechanical energy in the abyss and its contribution to mixing.

Combining the physics of waves, dynamical systems theory and oceanography, I will discuss a unique self-consistent experimental and numerical setup that models a cascade of triadic interactions transferring energy from large-scale monochromatic input to multi-scale internal wave motion. I will also provide explicit evidence of a wave turbulence framework for internal waves. Finally, I will show how beyond this regime, we have a clear transition to a cascade of small-scale overturning events which induce mixing.

Mathias Casiulis (LPTMC)

Collective motion in an ideal spin fluid

Collective motion, the macroscopic alignment of velocities in a system of particles, is a key feature of active matter systems. From simple Vicsek-like models to real-life experiments, many different systems seem to feature collective motion, often accompanied by exotic correlations and phase separation properties. These phenomena are however generally observed in non-equilibrium dynamics only, and many models are built up in an ad hoc manner to reproduce experimental data.

In the last few years, some works tried to link the exotic features of active systems to well-known equilibrium dynamics, by studying the low Peclet number limit of active systems for instance [1], thereby finding links between the usual 2d melting transition and the acclaimed MIPS (Motility-Induced Phase Separation), for instance.

The aim of my work is to study, in a toy-model that was designed to be as simple as possible [2], whether collective motion can exist in a conservative framework, when introducing a spin-velocity coupling in a spin fluid. In this talk, I will discuss the model itself, its numerical phenomenology and its links to various other systems and results of statistical mechanics.

[1] L. Cugliandolo, P. Digregorio, G. Gonella, and A. Suma, Phase Coexistence in Two-Dimensional Passive and Active Dumbbell Systems, PRL 119, 268002 (2017)

[2] S. Bore, M. Schindler, K. Lam, E. Bertin, and O. Dauchot, Coupling Spin to velocity: collective motion of Hamiltonian polar particles, J. Stat. Mech. 033305 (2016)

Alexis Poncet (LPTMC)

Tagged particles in single-file systems

Single-file systems, in which particles confined to a channel cannot overtake each other, exhibit a well-known subdiffusive scaling.
This anomalous behavior is a direct consequence of strong spatial correlations induced by the geometrical constraints. Even if this fact has been recognized qualitatively for a long time, up to now there has been no full quantitative determination of these correlations.
In this talk, we present several theoretical approaches that enable us to derive expressions for multiple-tag observables in the Symmetric Exclusion Process (SEP). We will cover the cases of both high-density and arbitrary-density systems, and of both unbiased and biased tagged particles.