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Orbital angular momentum transfer in a Lambda-type quantum dot molecule system embedded in a cholesteric liquid crystal

Zahra Amini Sabegh, D.B. Hayrapetyan

Published Oct 15, 2026• 0 citations
Publisher

Abstract

We theoretically demonstrate the transfer of orbital angular momentum (OAM) from a structured coupling beam to an initially planar probe field in a $\Lambda$-type quantum dot molecule (QDM) ensemble embedded in a cholesteric liquid crystal (CLC) host. The periodic dielectric anisotropy of the CLC acts as an intermediary channel, enabling topological charge transfer between the fields without establishing a phase-dependent closed-loop transition. Concurrently, electromagnetically induced transparency in the three-level QDM suppresses resonant absorption, ensuring high transmission for the generated vortex profile. This hybrid configuration avoids typical multipath loop requirements and provides a compact route for structured-light conversion and optical information processing.

DOI
10.1364/opticaopen.34441479.v1

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We theoretically demonstrate the transfer of orbital angular momentum (OAM) from a structured coupling beam to an initially planar probe field in a Λ\LambdaΛ-type quantum dot molecule (QDM) ensemble embedded in a cholesteric liquid crystal (CLC) host. The periodic dielectric anisotropy of the CLC acts as an intermediary channel, enabling topological charge transfer between the fields without establishing a phase-dependent closed-loop transition. Concurrently, electromagnetically induced transparency in the three-level QDM suppresses resonant absorption, ensuring high transmission for the generated vortex profile. This hybrid configuration avoids typical multipath loop requirements and provides a compact route for structured-light conversion and optical information processing.
We theoretically demonstrate the transfer of orbital angular momentum (OAM) from a structured coupling beam to an initially planar probe field in a Λ\LambdaΛ-type quantum dot molecule (QDM) ensemble embedded in a cholesteric liquid crystal (CLC) host. The periodic dielectric anisotropy of the CLC acts as an intermediary channel, enabling topological charge transfer between the fields without establishing a phase-dependent closed-loop transition. Concurrently, electromagnetically induced transparency in the three-level QDM suppresses resonant absorption, ensuring high transmission for the generated vortex profile. This hybrid configuration avoids typical multipath loop requirements and provides a compact route for structured-light conversion and optical information processing.
We investigate the optical response of a closed-loop three-level quantum dot molecule driven by a structured Laguerre-Gaussian field carrying orbital angular momentum (OAM). Owing to the intrinsic phase sensitivity of the closed-loop configuration, the spatial phase structure of the coupling beam directly imprints on the probe-field dynamics, leading to a strongly spatially dependent optical response. As a result, phenomena such as Autler-Townes splitting, probe absorption, and amplification without inversion arise under both resonant and off-resonant conditions, with their spectral characteristics governed by the sign and magnitude of the OAM index. This OAM-controlled modulation of the optical response reveals a mechanism for phase-engineered light-matter interaction in quantum dot molecules. The results highlight the potential of this solid-state platform for structured light based quantum photonics, including quantum information processing, tunable slow and fast light, and high capacity optical data storage.
We propose a scheme to generate structured light using a medium consisting of semiconductor quantum dots via four-wave mixing (FWM). We consider a four-level quantum-dot structure where two strong electromagnetic fields couple upper-level biexciton transitions, whereas a weak field is applied to one of the ground-level exciton transitions. A weak signal field is generated, corresponding to a second ground-level exciton transition; thus the overall configuration transforms into a closed-loop diamond-type shape. To realize a spatially dependent modulating quantum-dot medium, we consider strong coupling fields as structured lights and investigate different regions of spatially structured electromagnetically induced transparency via absorption of the generated signal field. The azimuthal phase-dependent modulation of the absorption profile of the generated signal field is the key factor behind the creation of structured light. In addition, we also demonstrate transfer of orbital angular momentum (OAM) of the control beam to the generated beam through the FWM process and study the effect of phase mismatch on efficiency of the OAM transfer.
We theoretically investigate coherent orbital-angular-momentum (OAM) transfer and dispersion-controlled light propagation in a ladder-type Er YAG three-level system. Using the density-matrix formalism and coupled Maxwell-Bloch equations, we derive analytical expressions for the probe and generated beams that explicitly incorporate Er ion concentration. We show that an incident vortex-carrying probe beam transfers its OAM to a generated signal beam through a concentration-dependent sum-frequency nonlinear process, with complete phase and topological-charge preservation. By analyzing conversion efficiency, spatial phase, and intensity distributions, we identify an optimal Er concentration (3 percent) that maximizes vortex-transfer efficiency. Furthermore, the absorption and dispersion spectra of the probe and generated beams reveal the mechanism underpinning the vortex transfer and demonstrate tunable transitions between fast and slow regimes. These results establish Er YAG as a viable solid-state platform for the coherent manipulation of structured light, enabling efficient vortex-beam frequency conversion and dispersion engineering for applications in high-dimensional quantum communication, wavelength-compatible OAM interfaces, and slow-light photonic signal processing.
In the burgeoning field of light-matter interactions, angular momentum has emerged as a pivotal factor, driving innovative research directions. This study delves into the interaction dynamics between vortex lights and an electromagnetically induced transparency (EIT) medium, with a primary focus on elucidating the underlying mechanism of angular momentum transfer. Through comprehensive theoretical analysis and numerical simulations, it is demonstrated that when the probe field carries orbital angular momentum (OAM), the dispersion and absorption characteristics of the EIT medium undergo periodic modulation. This modulation is intricately determined by the azimuthal phase and topological charge of the beam. Notably, the OAM in the driving field exerts no such influence on the medium's properties. Leveraging vortex phase plates (VPPs) or spatial light modulators (SLMs) to manipulate the tunable OAM enables dynamic control over the EIT effect. This breakthrough not only deepens our understanding of light-matter interactions at the quantum level but also unlocks new avenues for high-dimensional quantum information processing and advanced optical communication technologies.
We investigate coherent orbital-angular-momentum (OAM) transfer and dispersion-controlled light propagation in a ladder-type Er³⁺: YAG three-level system. Using the density-matrix formalism and coupled Maxwell-Bloch equations, we derive analytical expressions for the probe and generated beams that explicitly incorporate Er³⁺-ion concentration. We show that an incident vortex-carrying probe beam transfers its OAM to a generated signal beam through a concentration-dependent sum-frequency nonlinear process, with complete phase and topological-charge preservation. By analyzing conversion efficiency, spatial phase, and intensity distributions, we identify an optimal Er³⁺ concentration (3%) that maximizes vortex-transfer efficiency. Furthermore, the absorption and dispersion spectra of the probe and generated beams reveal the mechanism underpinning the vortex transfer and indicate the potential for concentration-selectable transitions between fast and slow propagation regimes. These results establish Er³⁺: YAG as a viable solid-state platform for coherent manipulation of structured light, enabling efficient vortex-beam frequency conversion and dispersion engineering, with potential relevance to classical and quantum OAM-based communication protocols, wavelength-compatible OAM interfaces, and slow-light photonic signal processing.