Quantum simulations with quantum dots

Charge-Kondo quantum dots have recently emerged as a new nanoelectronics paradigm . A pseudospin qubit is implemented with quasidegenerate macroscopic charge states of a large semiconductor dot, connected to two or more leads via quantum point contacts. Such devices offer unprecedented control over quantum effects and strongly correlated electron physics on the nanoscale. Here I show that charge-Kondo quantum dot devices are essentially perfect quantum simulators of nontrivial quantum impurity models, with Majorana-mediated quantum critical transport in two-channel charge-Kondo experiments agreeing with our theory over a remarkable 9 orders of magnitude. I then discuss more exotic physics in three-lead systems and coupled-dot devices, with finally an outlook towards realizing lattice spin models.