Title: Mott insulators of hardcore bosons in 1D: many-body orders, entanglement, edge modes,
Abstract: Many-body phenomena were always an integral part of physics comprising of
collective behaviors through self-organization, in systems consisting of many
components and degrees of freedom. We investigate the collective behaviors of
strongly interacting particles confined in one dimension. We show that
many-body orders with topological characteristics can be found at the Mott
insulator limit for hardcore bosons, at different fillings, without considering
the spin degree of freedom or long-range microscopic interactions. These orders
have unique properties like weak or strong quantum correlations (entanglement),
quantified by the entanglement entropy, edge excitations/modes and gapped
energy spectrum with highly degenerate ground state, bearing resemblance to
topologically ordered phases of matter.