Pollmann, Frank2015-05-212015-05-212015-05https://hdl.handle.net/11299/172322I will show that numerical investigations of a many-body ground state wavefunction using the density matrix renormalization group (DMRG) method can yield a remarkably complete characterization of different types of topological orders. A central tool is the entanglement which encodes many of the essential features. First, I will show how characteristic properties of the topological excitations in fractional quantum Hall states can be extracted directly from the ground state wave function. Second, I will consider symmetry protected topological phases for which the characterizing symmetry fractionalization can be determined.enFTPISymmetriesPresentation