Many-body localization of 1D disordered impenetrable two-component fermions

Quantum optics of light and matter: honouring Alain Aspect

“…Four papers [9][10][11][12] concern localization of matter waves and the properties of disordered quantum systems. Alain and his collaborators understood that laser speckle could provide a well-controlled disorder potential for ultracold atoms and in 2008 observed Anderson localization of a matter-wave in a one-dimensional system (1D).…”

“…In particular, C. Hainaut et al show that the localized density profile does not exactly decay as an exponential but rather follows the predictions made by Gogolin in the 1970's. A theoretical work by M. Bahovadino et al investigates a disordered onedimensional Fermi-Hubbard model in the presence of a magnetic field [11]. The authors calculate a phase diagram with remarkable results on the localization prop-erties.…”