Many-body localization for disordered Bosons

Concrete models of interacting quantum systems for which expected manifestations of the many-body localized phase can be rigorously verified are in short supply. Recent work by Seiringer and Warzel (2016 New J. Phys. http://dx.doi.org/10.1088/1367-2630/18/3/035002 18 http://dx.doi.org/10.1088/1367-2630/18/3/035002 ) succeeds in deriving such properties for a disordered Tonks–Girardeau gas. This provides a first example of a Boson gas in the strong Bose glass phase, characterized by the absence of Bose–Einstein condensation as well as the absence of superfluidity at zero temperature. The derivation exploits new mathematical tools to overcome problems arising from the non-locality of Fermionic wave functions associated with the states of a Tonks–Girardeau gas.