Talks

I will review the work done with my collaborators on intruders in single-file systems. In such systems, particles are on a one-dimensional line and cannot pass one another. This confinement induces an anomalous dynamics for any given tagged particle (subdiffusion or sub-ballistic motion). Focusing on lattice models (SEP), I will explain how to uncover the underlying structure behind this anomalous dynamics using two methods that we developed. At equilibrium we were able to solve for non-stationary density-displacement corrélations. And for out-of-equilibrium problems at high density, we show that everything is encoded in the random walk of a single vacancy.

A model for opinion formation is proposed where an individual's opinion is influenced by interactions with a group of agents. The model introduces a novel bias mechanism that favours one opinion. Several results are reported including the evidence of a critical slowing down as the bias vanishes.

I will present a few recent exact results about macroscopic fluctuations (large deviations) in non-equilibrium states. These include fluctuations in the non-equilibrium stationary state of systems coupled with unequal reservoirs, in the non-stationary state evolving towards equilibrium, and in active matter. Most of these results are based on fluctuating hydrodynamic descriptions. I will conclude by presenting an approach for this macroscopic description, starting from microscopic dynamics.

I will discuss the motion of a slow distinguishable particle (an impurity) in one-dimensional quantum liquids within a microscopic theory. The impurity experiences the friction force due to scattering off thermally excited quasiparticles. I will present detailed analysis of an arbitrarily strong impurity coupling constant in a wide range of temperatures and uncover new regimes of the impurity dynamics.

We shall discuss properties of quantum scars in a Rydberg ladder with staggered detuning. We shall demonstrate that they are qualitatively different from their counterparts in the well-known Rydberg chain and lead to long-time ETH violating imbalance in absence of disorder.    

Amorphous materials are ubiquitously used in various mechanical appliances, including in diverse athermal forms. Understanding the response, from a microscopic perspective, to mechanical perturbations is thus fundamental to developing materials with specific functionalities. In this talk, I will summarize some recent results, obtained via extensive numerical simulations, on how these athermal materials respond to different kinds of perturbations, be it at the macro-scale or micro-scale, thus allowing us to gain insights into the physical processes at play.