  Dense assemblies of self propelled particles, also known as active or living
glasses are abundantaround us, covering different length and time scales: from
the cytoplasm to tissues, from bacterialbio-films to vehicular traffic jams,
from Janus colloids to animal herds. Being structurally disorderedas well as
strongly out of equilibrium, these systems show fascinating dynamical and
mechanicalproperties. Using extensive molecular dynamics simulation and a
number of different dynamicaland mechanical order parameters we differentiate
three dynamical steady states in a sheared modelactive glassy system: (a) a
disordered phase, (b) a propulsion-induced ordered phase, and (c)
ashear-induced ordered phase. We supplement these observations with an
analytical theory based onan effective single particle Fokker-Planck
description to rationalise the existence of the novel shear-induced
orientational ordering behaviour in our model active glassy system that has no
explicitaligning interactions,e.g.of Vicsek-type. This ordering phenomenon
occurs in the large persistencetime limit and is made possible only by the
applied steady shear. Using a Fokker-Planck descriptionwe make testable
predictions without any fit parameters for the joint distribution of single
particleposition and orientation. These predictions match well with the joint
distribution measured fromdirect numerical simulation. Our results are of
relevance for experiments exploring the rheologicalresponse of dense active
colloids and jammed active granular matter systems.
