The Bose-Einstein condensation of constituent particles results in superfluidity in bosonic systems. Superconductivity in electronic (and hence fermionic) systems is attributed to the pairing of electrons into so called \"Cooper pairs\". It is thus quite tempting to regard superconductivity as a condensation of Cooper pairs. Then, how much of bosonic nature do Cooper pairs bear? Can one devise an setup to test it quantitatively in real experiments?
In this talk, I propose a Hanbury Brown and Twiss experiment of Cooper pairs on the edge channels of topological insulators, a recently discovered new state of matter.
Surprisingly, our theoretical analysis reveals that the Cooper pairs do not bear a bosonic nature at all once emitted from the superconductor. Crucial differences between our work and previous similar works will be discussed.