Summary
Non-Technical Abstract: Low-dimensional electron systems play an important role in modern condensed-matter physics and quantum information science (QIS). A uniquely clean and well-controlled example is provided by electrons trapped on the surface of superfluid helium. In this system, electrons float in vacuum just above the helium surface at temperatures near absolute zero, where the helium is superfluid. The absence of disorder and defects makes electrons on helium the most pristine two-dimensional electron system known and a paradigm for quantum information science many-body systems. Beca