Abstract We investigate the striking properties that magnetoresistance of irradiated two-dimensional electron systems presents when their mobility is ultra-high (µ ≫ 10 7 cm 2 V −1 s −1) and temperature is low (T ∼ 0.5 K). Such as, an abrupt magnetoresistance collapse at low magnetic field and a resonance peak shift to the second harmonic (2w c = w), w c and w being the cyclotron and radiation frequencies respectively. We appeal to the principle of quantum superposition of coherent states and obtain that Schrodinger cat states (even and odd) are key to explain magnetoresistance at these extreme mobilities. On the one hand, the Schödinger cat states system oscillates with 2w c , thus being responsible of the resonance peak shift. On the other hand, we obtain that Schrödinger cat states-based scattering processes give rise to a destructive effect when the odd states are involved, leading to a magnetoresistance collapse. The Aharonov-Bohm effect plays a central role in the latter, turning even cat states into odd ones. We show that ultra-high mobility two-dimensional electron systems could make a promising bosonic mode-based platform for quantum computing.
