A nonzero temperature generalization of the Fermi-Bose mapping theorem is
used to study the exact quantum statistical dynamics of a one-dimensional gas
of impenetrable bosons on a ring. We investigate the interference produced when
an initially trapped gas localized on one side of the ring is released, split
via an optical-dipole grating, and recombined on the other side of the ring.
Nonzero temperature is shown not to be a limitation to obtaining high
visibility fringes.Comment: 4 pages, 3 figure