Emission of entangled Kramers pairs from a helical mesoscopic capacitor

Abstract

The realization of single-electron sources in integer quantum Hall systems has paved the way for exploring electronic quantum optics experiments in solid-state devices. In this work, we characterize a single Kramers pair emitter realized by a driven antidot embedded in a two-dimensional topological insulator, where spin-momentum locked edge states can be exploited for generating entanglement. Contrary to previous proposals, the antidot is coupled to both edges of a quantum spin Hall bar, thus enabling this mesoscopic capacitor to emit an entangled two-electron state. We study the concurrence $\mathcal{C}$ of the emitted state and the efficiency $\mathcal{F}$ of its emission as a function of the different spin-preserving and spin-flipping tunnel couplings of the antidot with the edges. We show that the efficiency remains very high ($\mathcal{F}\ge 50\%$) even for maximally entangled states ($\mathcal{C}=1$). We also discuss how the entanglement can be probed by means of noise measurements and violation of the Clauser-Horne-Shimony-Holt inequality.

9 pages, 5 figures

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Cited by in corpus (7)

• Electron quantum optics as quantum signal processing
• Two-particle interferometry in quantum Hall edge channels
• Electronic quantum optics beyond the integer quantum Hall effect
• On-demand entanglement generation using dynamic single-electron sources
• Charge and energy fractionalization mechanism in one-dimensional channels
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Spectral properties of interacting helical channels driven by Lorentzian pulses