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We can see tunneling effects in high-dimensional space through multi-particle states. This is because multi-particle states of quanta are defined in the configuration space with (DN)-dimensions, where N is the number of particles and D is the number of dimensions of our space, though we know the statistics of quanta affect the structure of quantum states. Two examples are reviewed: one is quasi-resonance due to electron–electron interaction in a pair of coupled quantum dots under an external electric field and the other is Hubbard-gap tunneling in which an electron tunnels through Mott insulating electrons in a quantum-dot chain under an overall confining potential.
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Ryuichi Ugajin (1999) studied this question.
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