Description

Topological phases constitute a class of quantum states that exhibit global properties robust against defects and perturbations. Although often associated with exotic materials such as topological insulators, these phases can also emerge in periodically driven systems (Floquet systems), providing an ideal framework for studying out-of-equilibrium topology.

This thesis will focus on the numerical study and experimental realization of a topological model using a Bose–Einstein condensate (BEC) of potassium subjected to periodic light pulses, inspired by the paradigm of the quantum kicked rotor. The project will build on a scheme recently demonstrated by the team, combining spin-dependent optical potentials and modulated Raman coupling to induce an effective spin–orbit coupling.

The main objective will be to identify and characterize signatures of topological phases, such as transitions between localized and delocalized states or the emergence of topological invariants in the quasi-energy spectrum. The work will include participation in the PhLAM’s BEC experiments, analysis of atomic dynamics, and the development of numerical simulations in connection with theoretical collaborations.

Skills required

Maser 2 or equivalent in theoretical and/or experimental physics, with a curriculum appropriate to the experimental project (quantumand/or condensed matter physics, lasers, optics, etc.). Experimental training, through Master 2 internships in fields related to the contextof the thesis, will be privileged.

Bibliography

https://hal.science/hal-05317276v1
https://arxiv.org/abs/2303.13982

Keywords

Quantum simulations, Ultracold quantum gases, Topological phases, Floquet systems