Abstract

A multiple quantum dot provides an experimental tool for manipulating and detecting many-body quantum states of electrons in a level of controlling parameters of the corresponding Hamiltonians. We review recent experimental and theoretical studies on many-body states of electrons with orbital or charge degrees of freedom in multiple quantum dot systems and the resulting electron transport, focusing on triple quantum dots. This review article covers experimental backgrounds of quantum dots, orbital states and the resulting Kondo effects in a double quantum dot, charge frustration in a triple quantum dot, charge Kondo effects in a triple quantum dot, and quantum entanglement in electron states of quantum dots.

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