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This paper proposes a minimal quantum-optical scheme for creating hybrid entanglement between photon polarization and electronic orbital angular momentum within semiconductor nanostructures. By utilizing structured light, the study demonstrates how to map specific two-excitation states into an entangled system while accounting for practical factors like orbital relaxation and radiative leakage. This work advances fundamental understanding of spin-orbit coupled systems in quantum disks, offering a potential pathway toward more complex photon-electron hybrid qubits.
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Structured-light-mediated hybrid entanglement between photon polarization and electronic orbital angular momentum

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arXiv:2607.19715v1 Announce Type: new Abstract: We propose a minimal quantum-optical scheme for generating hybrid entanglement between photon polarization and electronic orbital angular momentum in a semiconductor quantum disk. A spin--orbit structured two-photon state excites two channels in the same disk: a radiatively recombining zero-orbital-angular-momentum channel and a finite-orbital-angular-momentum channel that stores the electronic orbital qubit. An effective coherent mapping prepares a selected two-excitation state, followed by emission of a photon whose polarization is entangled with the residual electronic orbital state. A master-equation analysis shows that the heralded state conditioned on single-photon occupation of the selected output mode approaches the target entangled state in the ideal coherent limit. We also discuss orbital relaxation and perturbative validity conditions for branch-dependent Coulomb shifts, orbital-angular-momentum mixing, and finite-orbital-angular-momentum radiative leakage. This proof-of-principle effective model suggests a route toward structured-light-mediated photon--electron hybrid entanglement in semiconductor nanostructures.

Abstract:We propose a minimal quantum-optical scheme for generating hybrid entanglement between photon polarization and electronic orbital angular momentum in a semiconductor quantum disk. A spin--orbit structured two-photon state excites two channels in the same disk: a radiatively recombining zero-orbital-angular-momentum channel and a finite-orbital-angular-momentum channel that stores the electronic orbital qubit. An effective coherent mapping prepares a selected two-excitation state, followed by emission of a photon whose polarization is entangled with the residual electronic orbital state. A master-equation analysis shows that the heralded state conditioned on single-photon occupation of the selected output mode approaches the target entangled state in the ideal coherent limit. We also discuss orbital relaxation and perturbative validity conditions for branch-dependent Coulomb shifts, orbital-angular-momentum mixing, and finite-orbital-angular-momentum radiative leakage. This proof-of-principle effective model suggests a route toward structured-light-mediated photon--electron hybrid entanglement in semiconductor nanostructures.

Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

arXiv:2607.19715 [quant-ph]

(or arXiv:2607.19715v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.19715 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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