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Quantum Electronics

Effect of optical phonons on the charge qubit dynamics in a semiconductor microcavity

Alexander V. Tsukanov, I. Yu. Kateev

Published Jul 26, 2018• 7 citations
Publisher

Abstract

We consider the possibility of using optical vibrational degrees of freedom as an additional resource for controlling the evolution of a charge qubit based on a semiconductor single-electron double quantum dot. The effect of electron – photon – phonon processes on the accuracy of single-qubit operations is investigated. It is shown that, depending on the phonon decay rate and detuning of the electronic transition frequency from the optical phonon frequency, these processes can both facilitate and prevent coherent electron transfer between quantum dots.

DOI
10.1070/qel16680

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We consider the possibility of using optical vibrational degrees of freedom as an additional resource for controlling the evolution of a charge qubit based on a semiconductor single-electron double quantum dot. The effect of electron – photon – phonon processes on the accuracy of single-qubit operations is investigated. It is shown that, depending on the phonon decay rate and detuning of the electronic transition frequency from the optical phonon frequency, these processes can both facilitate and prevent coherent electron transfer between quantum dots.
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This paper studies the carrier-phonon dynamics in the optical control of the spin states in a single doped semiconductor quantum dot by means of a perturbation theory describing the open system evolution under arbitrary driving and a correlation expansion technique. This paper considers the phonon-induced decoherence accompanying a single-qubit gate: an arbitrary rotation between two selected electron spin states performed via stimulated adiabatic Raman transitions and virtual excitation of a trion state. The error of the quantum gate as well as the population and coherence dynamics is calculated depending on the driving duration and detuning and study the possible reduction of the phonon decoherence.
This chapter is devoted to the recent theoretical results on the optical quantum control over charges confined in quantum dots under influence of phonons. We show that lattice relaxation processes lead to decoherence of the confined carrier states. The theoretical approach leading to a uniform, compact description of the phonon impact on carrier dynamics, perturbative in phonon couplings but applicable to arbitrary unperturbed evolution, is described in detail. Next, some applications are presented: phonon damping of Rabi oscillations in quantum dots and phonon-induced error of a single-qubit gate for an excitonic quantum dot qubit as well as for a semiconductor quantum dot spin qubit operated via a STIRAP transfer.
We describe time-dependent single-electron transport through quantum dots in the Coulomb blockade regime. Coherent dynamics of a single charge qubit in a double quantum dot is discussed with full one-qubit manipulation. Strength of decoherence is controlled with the applied voltage, but uncontrolled decoherence arises from electron–phonon coupling and background fluctuations. Then energy-relaxation dynamics is discussed for orbital and spin degree of freedom in a quantum dot. The electron–phonon interaction and spin–orbit coupling can be investigated as the dissipation problem. Finally, charge detection measurement is presented for statistical analysis of single-electron tunnelling transitions and for a sensitive qubit read-out device.
We consider one- and two-qubit operations on charge qubits that represent double quantum dots with one electron in each of them. The dots are formed inside a high-Q semiconductor cavity (disk, toroidal, or spherical) in the antinodes of one of its optical eigenmodes; the frequencies of the transitions between the ground (logic) and excited (auxiliary) states of the discrete electron spectrum in quantum dots are close to the frequency of this mode. The precise tuning of the transition frequency is performed by applying an electric potential on the qubit control gate. Within the model of qubits coherently interacting with a cavity quantum field, a few methods for controlling their states are developed. In particular, we propose different variants for implementing two-qubit CNOT and CZ gates and generating qubit entangled states. By the example of a micro-disk cavity, we calculate the operating characteristics that ensure a high rate of quantum gate implementation.