Phonon-induced entanglement dynamics of two donor-based charge quantum bits

TL;DR

This paper analytically studies how acoustical phonons influence entanglement dynamics between two donor-based charge qubits, revealing entanglement recovery, stationary entanglement, and relations to decoherence rates.

Contribution

It provides an analytical model of phonon-induced entanglement dynamics, including entanglement recovery and stationary states, specific to donor-based charge qubits in semiconductors.

Findings

Unusual entanglement recovery depends on qubit geometry

Non-vanishing stationary entanglement predicted at large times

Disentanglement rate relates to inter-donor decoherence rates

Abstract

The entanglement dynamics of a pair of donor-based charge qubits is obtained in analytical form. The disentanglement is induced by off resonant scattering of acoustical phonons in the semiconductor host. According to our results a rather unusual recovery of entanglement occurs that depends on the geometrical configuration of the qubits. In addition, for large times a non-vanishing stationary entanglement is predicted. For the cases of one and two initial excitations a simple kinetic interpretation allows for an adequate analysis of the observed dynamics. Our results also reveal a direct relation between the disentanglement rate and the inter-donor decoherence rates.