Quantum state transfer of electrons in chaotic quantum dots

Abstract

Abstract In this paper, we study theoretically the transmission of the two-electron quantum state between the leads of a chaotic quantum dot in the presence or absence of time-reversal symmetry. The system we consider in this work is constituted by two-channel non-ideal leads connecting the cavity to two reservoirs of electrons. Quantum fidelity was used to quantify the success of the transference of states between the leads. We show that the quantum fidelity of the system is equal to the product of the transmission eigenvalues. We obtained its average and probability density function via random matrix theory by two approaches: sample simulation and exact integration. The results show that the quantum state transference is enhanced for ideal leads with broken time-reversal symmetry.