Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to one dimen-sional topological phases – in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas ofentangleme using the correlatormethod and the von-Neumanndensity-matrix method, geometric phase, polarization, transportsignatures and the role of electron-electron interactions.Thro- ugh hands-on numerical experiments, whose codes areshared, we try to drive home the message why a program ofsimulating quantum electronics with topological toy modelsis the storehouse for discovering fantastic physics ideas.