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The use of electron beams is ubiquitous; electron microscopy, scanningtunneling microscopy, electron lithography, and electron diffractometry all usewell-collimated and focused beams. On the other hand, quantum degenerateelectron beams do currently not exist. The realization of such beams may impactall electron beam technologies and are interesting to pursue. Past attempts toreach degeneracy were hampered by the low degeneracy of continuously emittingelectron sources. With the recent advent of ultra-short electron pulses, highdegeneracy is expected. Coulomb repulsion and low quantum coherence are hurdlesthat need to be overcome. A quantum analysis of the electron degeneracy forpartially coherent pulsed electron sources is presented. Two-particlecoincidence spectra are obtained for source parameters that are currentlyavailable. The conclusive demonstration of the fermionic Hanbury-Brown Twiss(HBT) effect for free electrons is shown to be within reach, and our resultssupport the claim that femto-second nanotip electron sources, both polarizedand unpolarized, can manifest partial to complete quantum degeneracy withappreciable signal-to-noise-ratios for free electron pulses notwithstandingtheir small particle numbers.

Partially coherent quantum degenerate electron matter waves