STAGE The quantum Hall effect in a lossy atomic gas

The quantum Hall effect is one of the most remarkable phenomena in condensed-matter physics [1] and in important effort is currently devoted in reproducing it in a controllable cold-atom setup [2].
In this internship we will take advantage of one of the intrinsic properties of ultra-cold atoms, namely the fact that they are lossy. This feature, often regarded as an important disadvantage, has recently attracted a significant amount of interest, because it can be used to drive the gas into regimes that do not have a counterpart in equilibrium situations [3].
In particular, we will start from the observation that several notable states of the bosonic quantum Hall effect, such as the Laughlin wavefunction at filling ½, are immune to losses and are a stationary state of the lossy dynamics.
The goal of this internship is to characterize the dynamics of a rotating bosonic gas and to study the stationary states where the gas is driven by the lossy dynamics.

References:
[1] D. Tong, Lectures on the quantum Hall effect, https://arxiv.org/abs/1606.06687 (2016).
[2] J. Léonard et al. Realization of a fractional quantum Hall state with ultracold atoms, https://arxiv.org/abs/2210.10919 (2022).
[3] M. Foss-Feig et al, Steady-state many-body entanglement of hot reactive fermions, Phys. Rev. Lett. 109, 230501 (2012)