Steady-State Entanglement in the Nuclear Spin Dynamics of a Double Quantum Dot

TL;DR

This paper presents a scheme to generate steady-state entanglement between nuclear spins in a double quantum dot, leveraging quantum interference and feedback mechanisms to achieve a self-polarized, entangled nuclear state.

Contribution

It introduces a novel method for deterministic nuclear spin entanglement using quantum interference and feedback in double quantum dots, with potential applications in quantum information.

Findings

Nuclear spins are driven into a two-mode squeezed-like entangled state.

The scheme induces self-polarization of nuclear spins towards large Overhauser field gradients.

The system exhibits multi-stability and criticality in steady states.

Abstract

We propose a scheme for the deterministic generation of steady-state entanglement between the two nuclear spin ensembles in an electrically defined double quantum dot. Due to quantum interference in the collective coupling to the electronic degrees of freedom, the nuclear system is actively driven into a two-mode squeezed-like target state. The entanglement build-up is accompanied by a self-polarization of the nuclear spins towards large Overhauser field gradients. Moreover, the feedback between the electronic and nuclear dynamics leads to multi-stability and criticality in the steady-state solutions.