Quantum gases in reduced dimensions

Mathias Albert, Gianni Aupetit-Diallo, Frédéric Hébert, Pierre-Élie Larré, Silvia Musolino, and Patrizia Vignolo

Ultracold-atom experiments represent an established playground to test theories of many-body physics and mimic solid-state strongly correlated systems with incredible accuracy. In particular, it is possible to control the dimensionality, interaction, external potential, disorder, and the nature of a quantum mixture. In our group, we study theoretically, with various methods (exact solutions, low-energy field theories, group theory, quantum Monte Carlo simulations, etc.), the properties of low-dimensional quantum gases from first principles to experimentally observable quantities. We are in particular interested in the physics of strongly interacting one-dimensional quantum mixtures and their symmetry properties.

Quantum transport and nonequilibrium quantum dynamics

Christian Miniatura, Mathias Albert, Frédéric Hébert, Juliette Huynh, Pierre-Élie Larré, Silvia Musolino, and Patrizia Vignolo

We investigate the behavior of quantum many-body systems set in motion or quenched out of equilibrium in several types of environment. In particular, we ask questions about superfluidity and nonlinear-pattern formation in quantum fluids of matter, of mixed matter-light, and of light flowing past smooth or disordered obstacles, about electronic transport in mesoscopic quantum conductors, and about the relaxation dynamics of ultracold atomic quantum gases and quantum fluids of light following interaction and/or disorder quantum quenches with specific interest in their (pre)thermalization processes.

Strongly correlated quantum systems

George G. Batrouni and Frédéric Hébert

We are interested in strongly interacting quantum many-body systems that we are studying using large-scale quantum Monte Carlo simulations. These discrete models are used to describe cold atoms in optical lattices, electrons in solids, or are of general interest in quantum statistical physics. Recently, we worked on models describing interactions between particles and quantized fields, especially the problem of electrons interacting with phonons and its application to the appearance of superconducting or solid phases. We also worked on interacting systems in flat-band systems or mixtures of bosons and fermions.

Machine learning for quantum physics

Mario Gattobigio, Frédéric Hébert, and Christian Miniatura

We work on an interdisciplinary project between machine learning and quantum mechanics which aims to produce novel algorithms to study complex quantum mechanical systems. Machine learning can be used to provide efficient solutions to nonlinear modeling and optimization problems. Specifically, we use neural networks to describe the state of quantum many-body systems or to optimize the choice of basis for the description of few-body problems. This work is done in collaboration with National University of Singapore and Singapore University of Technology and Design, in the framework of the French-Singaporean laboratory MajuLab.

Few-body problems in atomic and nuclear physics

Mario Gattobigio

General relativity

Jacques L. Rubin

Quantum foundations

Éric Buffenoir