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arXiv · 2510.22195

Exact time-evolving resonant states for open double quantum-dot systems with spin degrees of freedom

Akinori Nishino·Naomichi Hatano
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Abstract

We study time-evolving resonant states in an open double quantum-dot system, taking into account spin degrees of freedom as well as both on-dot and interdot Coulomb interactions. We exactly derived a non-Hermite effective Hamiltonian acting on the subspace of two quantum dots, where the non-Hermiticity arises from an effect of infinite external leads connected to the quantum dots. By diagonalizing the effective Hamiltonian, we identify four types of two-body resonant states. For the initial states of localized two electrons with opposite spins on the quantum dots, we exactly solve the time-dependent Schroedinger equation and obtain time-evolving two-body resonant states. The time-evolving resonant states are normalizable since their wave function grows exponentially only inside a finite space interval that expands in time with electron velocity. By using the exact solution, we analyze the survival and transition probabilities of localized two electrons on the quantum dots.

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Akinori Nishino, Naomichi Hatano. 2026-03-12. Exact time-evolving resonant states for open double quantum-dot systems with spin degrees of freedom. https://arxiv.org/abs/2510.22195

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