Ingremeau, MaximeRivera, Alejandro2022-01-312022-01-312022-01-312022-01-0110.5802/jep.181https://infoscience.epfl.ch/handle/20.500.14299/184861WOS:000740687800001In this paper, we consider a compact connected manifold (X, g) of negative curvature, and a family of semi-classical Lagrangian states f(h)(x) = a(x)e(i phi(x)/h) on X. For a wide family of phases phi, we show that f(h), when evolved by the semi-classical Schrodinger equation during a long time, resembles a random Gaussian field. This can be seen as an analogue of Berry's random waves conjecture for Lagrangian states.Mathematicsquantum chaossemi-classical analysisberry's conjecturerandom waveseigenfunctionsnumbertext::journal::journal article::research article