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Optics Communications

Phonon-assisted entanglement between two quantum dots coupled to a plasmonic nanocavity

M. A. Antón

Published Dec 17, 2021• 8 citations
Publisher

Abstract

We theoretically investigate the influence of a phonon bath on entangled generation between two semiconductor quantum dots coupled to a plasmonic nanocavity and coherently driven by an external optical field. Our study reveals that phonons could be useful in a certain range of system parameters where a subradian state preparation is possible. We point out that this behavior is due to the fact that phonon environment modify the radiative properties of the two-qubit inducing different decay rates between the collective states of the system. The influence of the factors characteristic of quantum dot systems and plasmonic nanocavity such as energy mismatch in different dots, different plasmonic cavity losses as well as coupling to phonons is analyzed. The entanglement can be controlled via different external parameters such as the cavity detuning, the Rabi frequency of the driving field and the resonance frequency of the QDs.

DOI
10.1016/j.optcom.2021.127811

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We theoretically investigate the influence of a phonon bath on entangled generation between two semiconductor quantum dots coupled to a plasmonic nanocavity and coherently driven by an external optical field. Our study reveals that phonons could be useful in a certain range of system parameters where a subradian state preparation is possible. We point out that this behavior is due to the fact that phonon environment modify the radiative properties of the two-qubit inducing different decay rates between the collective states of the system. The influence of the factors characteristic of quantum dot systems and plasmonic nanocavity such as energy mismatch in different dots, different plasmonic cavity losses as well as coupling to phonons is analyzed. The entanglement can be controlled via different external parameters such as the cavity detuning, the Rabi frequency of the driving field and the resonance frequency of the QDs.
Using a polaron master equation approach, we investigate the cooperative two-photon resonance behavior between two modes of a field inside a semiconductor microcavity containing two quantum dots. The cooperative two-mode two-photon resonance occurs when two off-resonant quantum dots, initially prepared in exciton states, emit one photon in each cavity mode and deexcite simultaneously. Using this two-photon two-mode interaction, we demonstrate how to generate an entangled state of two qutrits (tripartite unit of quantum information). The bases for the qutrits are formed by the states of the cavity modes containing zero, one, and two photons. We also study the effect of exciton-phonon coupling on the entanglement and the probability of generating two-qutrit states, and explore the role of the phonon bath temperature.
In this study, we designed a plasmonic system containing an array of nanoparticles (NPs) coupled to a quantum dot (QD) to generate entangled photons. The interaction of incoming light with the array of NPs generates a modified plasmon resonance, so-called lattice-plasmon (interaction of the NPs near-field with the photonic mode). Due to its unique optical properties, the lattice-plasmon strongly manipulates the output modes’ entanglement behavior. This is mainly because of the influence of the lattice-plasmon on the transition and dephasing rates of the quantum dot. It is shown that it can be possible to manipulate the QD decay rates via the optical properties of the lattice-plasmon. Also, to manage the output modes entanglement, the emphasis is put on the retarded field effect, which dramatically impacts the lattice-plasmon optical properties. It is theoretically found that engineering the optical properties of the lattice-plasmon facilitates the manipulation of the entanglement behavior.
Semiconductor quantum dots (QDs) in photonic nanocavities provide monolithic, robust platforms for both quantum information processing and cavity quantum electrodynamics (QED). An inherent feature of such solid-state cavity QED systems is the presence of electron-phonon interactions, which distinguishes these systems from conventional atomic cavity QED. Understanding the effects of electron-phonon interactions on these systems is indispensable for controlling and exploiting the rich physics that they exhibit. Here we investigate the effects of electron-phonon interactions on a QD-based cavity QED system. When the QD and the cavity are off-resonance, we observe phonon-assisted cavity mode emission that strongly depends on the temperature and cavity-detuning. When they are on-resonance, we observe an asymmetric vacuum Rabi doublet, the splitting of which narrows with increasing temperature. These experimental observations can be well reproduced using a cavity QED model that includes electron-acoustic-phonon interactions. Our work provides significant insight into the important but hitherto poorly understood mechanism of non-resonant QD-cavity coupling and into the physics of various cavity QED systems utilizing emitters coupled to phonons, such as nitrogen-vacancy centres in diamond and colloidal nanocrystals.
Polarization-entangled photons are key resources for a wide range of protocols in quantum computation and quantum key distribution. Achieving a near-unity degree of polarization entanglement is essential for minimizing qubit error rates in secure key distribution. In this work, we theoretically investigate polarization-entangled photon pairs generated via a quantum-dot radiative cascade embedded in a micropillar cavity. To account for the unavoidable exciton–phonon interactions in the quantum dot–cavity system, we develop a polaron master-equation framework and examine its impact on the degree of entanglement and the resulting qubit error rate. We derive analytical expressions for phonon-induced incoherent scattering rates and show that one-photon incoherent processes dominate, leading to a substantial reduction of entanglement. We further demonstrate that at elevated phonon-bath temperatures, cavity-mediated effects—such as cross-coupling between exciton states, ac-Stark shifts, and multiphoton emission—are significantly suppressed due to phonon-induced renormalization of the cavity coupling strength and the Rabi frequency. Finally, we analyze a BBM92 quantum key distribution protocol and study the evolution of the qubit error rate as a function of the phonon-bath temperature.
We theoretically investigate the influence of the phonon bath on photon blockade in a simultaneously driven dot-cavity system. An optimal condition for avoiding two-photon excitation of a cavity field is put forward which can be achieved by modulating the phase difference and the strengths of the driving fields. The second-order correlation function and the mean photon number of the cavity field are discussed. In the absence of phonon effect, the strong photon blockade in a moderate quantum dot (QD)-cavity coupling regime occurs, which can be attributed to the destructive quantum interference arisen from different transition paths induced by simultaneously driving the dressed QD-cavity system. The participation of acoustic-phonon reservoir produces new transition channels for the QD-cavity system, which leads to the damage of destructive interference. As a result, the photon blockade effect is hindered when taking the electron-phonon interaction into account. It is also found that the temperature of the phonon reservoir is disadvantageous for the generation of photon blockade.
Generation and dissipation of entanglement between two coupled quantum dots (QDs) in a cavity driven by a coherent field is studied. We find that it is possible to generate and sustain a large amount of entanglement between the quantum dots in the steady state, even in the presence of strong decay in both the cavity and the dots. We investigate the effect of different parameters (decay rates, coupling strengths, and detunings) on entanglement. We find that the cavity field shows bistability and study the effect of relevant parameters on the existence of this bistable behavior. We also study the correlation between the cavity field and the entanglement between the dots. The experimental viability of the proposed scheme is discussed.