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Communications in Theoretical Physics

Tunable giant Kerr nonlinearity-driven photonic spin–orbit interaction in an N -coupled quantum dot system

Akhtar Munir, Muhib Ullah, Chunfang Wang

Published Jun 16, 2026• 0 citations
Publisher

Abstract

Abstract The Photonic spin Hall effect (PSHE) offers fundamental insights into spin–orbit interactions of light, yet its control over compact, tunable platforms remains a challenge. Here, we investigate the PSHE in a solid-state platform of N -coupled quantum dots (CQDs), focusing on both the linear absorption and Kerr nonlinear regimes. On this platform, an external electric field controls electron tunneling between CQDs, resulting in multiple tunneling-induced transparency windows. We report a giant enhancement of the Kerr nonlinearity, achieving orders-of-magnitude increases while suppressing linear absorption—a domain that is favorable for low-power nonlinear photonics. Exploiting this, we demonstrate that the PSHE shift can be drastically enhanced and controlled by tuning the excited-state transition frequency and tunneling strengths, which significantly modify the Brewster angle. This active nonlinear control improves static nanostructures by combining the tunability of atomic systems with the functionality of an integrable quantum material. Our results establish N -CQDs as a viable platform for producing giant Kerr nonlinearity-driven PSHE, opening up new possibilities for tunable low-power spin–orbit light control in quantum photonics.

DOI
10.1088/1572-9494/ae7dae

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Abstract The Photonic spin Hall effect (PSHE) offers fundamental insights into spin–orbit interactions of light, yet its control over compact, tunable platforms remains a challenge. Here, we investigate the PSHE in a solid-state platform of N -coupled quantum dots (CQDs), focusing on both the linear absorption and Kerr nonlinear regimes. On this platform, an external electric field controls electron tunneling between CQDs, resulting in multiple tunneling-induced transparency windows. We report a giant enhancement of the Kerr nonlinearity, achieving orders-of-magnitude increases while suppressing linear absorption—a domain that is favorable for low-power nonlinear photonics. Exploiting this, we demonstrate that the PSHE shift can be drastically enhanced and controlled by tuning the excited-state transition frequency and tunneling strengths, which significantly modify the Brewster angle. This active nonlinear control improves static nanostructures by combining the tunability of atomic systems with the functionality of an integrable quantum material. Our results establish N -CQDs as a viable platform for producing giant Kerr nonlinearity-driven PSHE, opening up new possibilities for tunable low-power spin–orbit light control in quantum photonics.
A scheme for giant enhancement of the Kerr nonlinearity in linear triple quantum dot molecules is proposed. In such a system, the tunneling-induced transparency window obtained in double quantum dot molecules splits into two windows, due to the coupling with the third quantum dot. And most important, the Kerr nonlinearity can be enhanced by several orders of magnitude, compared with that generated in double quantum dot molecules. With proper detuning of the tunneling, giant Kerr nonlinearity accompanied by vanishing absorption can be realized, which opens the possibility to enhance self-phase modulation in tunneling controllable semiconductor nanostructures under conditions of low light levels. Quantitative analysis shows that the giant Kerr nonlinearity is attributed to the interacting double dark resonances induced by the tunneling between the triple quantum dots, therefore no extra laser fields are required.
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We investigate the nonlinear interaction between two weak optical fields in carbon nanotube quantum dots based on electromagnetically induced transparency and spin-orbit coupling. Our results show, owing to the energy differences produced by strong spin-orbit coupling, that a giant cross-Kerr nonlinearity can be achieved with group-velocity matching, while the probe- and signal-fields absorptions are suppressed simultaneously. We demonstrate that such enhanced nonlinear optical effects can be employed to implement controlled-phase gate between pairs of single-photon pulses with high fidelity and to generate entanglement of coherent Schr\"odinger-cat states.
We propose a four-level tripod atom-light coupling scheme to manipulate the photonic spin Hall effect (PSHE) in the reflected probe light. Our study demonstrates that the tripod configuration enables enhanced PSHE near the Brewster angle upon reflection for the probe field, with significantly stronger transverse shifts at resonance compared to off-resonance conditions. The PSHE shift is maximized when all fields are resonant, aligning with the transparency point of the system, and is notably weaker under off-resonant conditions, where gain effects dominate. Additionally, the tripod scheme enables an enhanced transverse shift for the signal field at resonance, resulting in dual-field PSHE enhancement. This combined enhancement of transverse shift for both probe and signal fields underscores the superiority of the tripod configuration in achieving maximized PSHE shifts, surpassing prior schemes and opening new possibilities for advanced applications in spin-photonic devices.
We theoretically investigate the transverse photonic spin Hall effect (PSHE) in a cavity structure containing a double-tripod (DT) atomic medium. We show that the internal topology of the double-tripod system can be coherently reconfigured through the relative phase of the control fields and the two-photon detuning, leading to qualitatively distinct effective configurations. These structural transformations reshape the transparency bandwidth, absorption spectrum, and dispersive slope, which in turn govern the spin-dependent reflection phase responsible for the PSHE. We demonstrate that large transverse shifts emerge in low-loss dispersive windows and are strongly enhanced near the Brewster angle due to the sensitive dependence of the reflection phase on the optical response. The magnitude, spectral range, and even sign of the spin-dependent displacement can be reversibly tuned by adjusting the phase, detuning, and atomic density. Our results reveal that cavity-assisted DT media provide a reconfigurable platform in which internal quantum interference directly maps to controllable spin–orbit photonic transport.
The coherent coupling between three quantum dots via tunneling fields leads to double tunneling-induced transparency and giant Kerr nonlinearity with vanishing absorption. This creates the possibility to achieve self-phase modulation in semiconductor nanostructures via controllable tunneling under the conditions of low light levels. As a result, a considerably high refractive index can be obtained. We suggest an intracavity medium which consists of triple quantum dot molecules to control the Goos–Hänchen (GH) shifts in the reflected light. For a suitable design of a triple quantum dot system, our results show that relatively large positive and negative GH shifts are achievable, without significant distortion, using partially coherent incident light fields.