Topological ordered states, such as fractional quantum Hall states, where interactions and topology interplay, have gained significant attention for their importance in fundamental physics and potential applications in topological quantum computation. However, their ground state remains elusive and not fully understood.

Its characteristics has three major aspects: (1) Having topologically protected gapless boundary excitations 2) The finite-energy defects of topological order, i.e., the quasiparticles, can carry fractional statistics (including non-Abelian statistics) and fractional charges. (3)Topological orders producing new kind of waves, i.e., the collective excitations above the topologically ordered ground states.

With its ability to sense bulk and edge separately and capture collective excitations locally, RFlexiScope provides an unique access to all three defining characteristics of topologically ordered states.

In correlated phases are quasiparticles excitations that has classical nonlocality in their electromagnetic responses. One example is the composite fermions at zero magnetic field, and the intriguing physics of anyons. We will use the advanced nonlocal measurement techniques to explore those quasiparticle excitations, and gain understandings of the those phases.