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Frontiers of Physics

Regulation of non-Hermitian couplings in a spontaneous six-wave mixing process

Zhou Feng, Rui Zhuang, Haitian Tang, S Liu, Chen Qiao, Feng Li, Kangkang Li, Yanpeng Zhang

Published Jan 1, 2026• 1 citation
Publisher

Abstract

Non-Hermitian quantum systems — characterized by parity–time symmetry and the emergence of exceptional points — have attracted increasing interest, particularly in light–matter interaction platforms where dissipation and radiative losses play a fundamental role. In this work, we investigate the modulation of coupling states between atomic energy levels during the generation of backward W-state triphotons via a spontaneous six-wave mixing (SSWM) process. By employing tunable external control beams, we realize dynamic modulation from the weak to the strong coupling regime, accompanied by a qualitative transition in triphoton coincidence statistics from anti-bunching to damped Rabi oscillations. Remarkably, the appearance of single exponential decays in the triphoton coincidence count traces marks the onset of an exceptional point in the non-Hermitian system. Furthermore, triphoton correlations in the τ21 and τ31 directions can be independently modulated by selectively tuning of the coupling state via ED1 and ED2, respectively. These results provide a versatile and coherent platform for the one-step generation of backward entangled triphoton states and offer a promising approach to engineering high-dimensional entanglement, with potential applications in quantum communication and quantum information processing.

DOI
10.15302/frontphys.2026.072203

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•Mar 15, 2023•0 citations
Non-Hermitian quantum systems — characterized by parity–time symmetry and the emergence of exceptional points — have attracted increasing interest, particularly in light–matter interaction platforms where dissipation and radiative losses play a fundamental role. In this work, we investigate the modulation of coupling states between atomic energy levels during the generation of backward W-state triphotons via a spontaneous six-wave mixing (SSWM) process. By employing tunable external control beams, we realize dynamic modulation from the weak to the strong coupling regime, accompanied by a qualitative transition in triphoton coincidence statistics from anti-bunching to damped Rabi oscillations. Remarkably, the appearance of single exponential decays in the triphoton coincidence count traces marks the onset of an exceptional point in the non-Hermitian system. Furthermore, triphoton correlations in the τ21 and τ31 directions can be independently modulated by selectively tuning of the coupling state via ED1 and ED2, respectively. These results provide a versatile and coherent platform for the one-step generation of backward entangled triphoton states and offer a promising approach to engineering high-dimensional entanglement, with potential applications in quantum communication and quantum information processing.
The generation and control of quantum entangled states hold significant importance for quantum information processing. Non-Hermitian systems, characterized by parity-time symmetry and exceptional points, provide a powerful framework for controlling quantum states. Although both the non-Hermitian nature and triphoton generation have been demonstrated in light–matter interaction processes, achieving non-Hermitian control of triphoton states remains challenging because of the lack of active adjustment within a wide range of coupling strengths. We realize the non-Hermitian control of reconfigurable backward time-energy-entangled W triphotons through atomic coherence, transiting the different eigenstates of the triphoton by employing external control beams. These different triphoton eigenstates are experimentally demonstrated by the triphoton temporal correlations, ranging from Rabi oscillation to antibunching exponential decay. Furthermore, both the generation rate and the violation of the Cauchy–Schwarz inequality of triphotons confirm the highly nonclassical performance. Our results establish a versatile platform for reconfigurable multipartite entanglement and provide new opportunities for complex quantum information processing based on non-Hermitian light–matter interactions.
In quantum communication and quantum computation, adding each entangled photon leads to an exponential increase in communication and computational capabilities. Utilizing a fifth-order nonlinear process, narrow-band non-Gaussian W-triphotons are experimentally generated through the spontaneous six -wave mixing (SSWM), but the manipulation of such entangled state in the group delay regime is still lacked. For the first time, the observation of optical precursors at the triphoton level is reported through the SSWM process. By appropriately adjusting the optical depth, optical precursors are effectively separated from the main wave through utilizing the slow-light effect to manipulate the triphoton temporal correlations in the group delay regime. In biphoton and conditional two-photon, the intensity ratio between the precursor and the main wave is tunable by adjusting the detuning and power of the laser. These pivotal breakthroughs mark a significant advancement in the study of optical precursors and open new possibilities for their application in quantum technologies.
Biphoton process is an essential benchmark for quantum information science and technologies, while great efforts have been made to improve the coherence of the system for better quantum correlations. Nevertheless, we find that the non-Hermitian features induced by the atomic quantum interference could be well employed for the direct control of entanglement. We report the demonstration of exceptional point (EP) in biphotons by measuring the light-atom interaction as a natural non-Hermitian system, in which the electromagnetically induced transparency regime provides a powerful mechanism to precisely tune the non-Hermitian coupling strength. Such biphoton correlation is tuned within an unprecedented large range from Rabi oscillation to antibunching-exponential-decay, also indicating high-dimensional entanglement within the strong and weak light-matter coupling regimes. The EP at the transition point between the two regimes is clearly observed with the biphoton quantum correlation measurements, exhibiting a single exponential decay and manifesting the coalesced single eigenstate. Our results provide a unique method to realize the controllability of natural non-Hermitian processes without the assistance of artificial photonic structures, and paves the way for quantum control by manipulating the non-Hermitian features of the light-matter interaction.
Scalability in quantum communication and computation critically relies on the efficient generation of high-quality entangled multiphoton states. Consequently, the ability to prepare multiple entangled particles is critical for advancing quantum technologies. Here, we report a significant advancement in the generation of narrowband, time–energy-entangled W-state triphotons exhibiting backward time correlation, achieved via spontaneous six-wave mixing in a five-level atomic system. By leveraging anomalous dispersion and atomic coherence control in a T-type electromagnetically induced transparency (EIT) configuration, our method markedly enhances the triphoton generation rate, extends the photon correlation time, and suppresses noise photons. With meticulous optimization of system parameters, the correlation time of the generated triphotons exceeds 80 ns, the production rate reaches 175 ± 9 triphotons per minute, and accidental photon counts are suppressed to 8 ± 2 per minute. This work presents an efficient framework for preparing triphotons with long coherence, high production efficiency, and low noise, offering substantial potential for applications in quantum communication and quantum computing.
Entangled multiphoton sources are essential for both fundamental tests of quantum foundations and building blocks of contemporary optical quantum technologies. While efforts over the past three decades have focused on creating multiphoton entanglement through multiplexing existing biphoton sources with linear optics and postselections, our work presents a groundbreaking approach. We observe genuine continuous-mode time-energy-entangled W-class triphotons with an unprecedented production rate directly generated through spontaneous six-wave mixing (SSWM) in a four-level triple-Λ atomic vapor cell. Using electromagnetically induced transparency and coherence control, our SSWM scheme allows versatile narrowband triphoton generation with advantageous properties, including long temporal coherence and controllable waveforms. This advancement is ideal for applications like long-distance quantum communications and information processing, bridging single photons and neutral atoms. Most importantly, our work establishes a reliable and efficient genuine triphoton source, facilitating accessible research on multiphoton entanglement.
Abstract Sources of entangled multiphotons are not only essential for fundamental tests of quantum foundations, but are also the cornerstone of a variety of optical quantum technologies today. Over past three decades, tremendous efforts have been devoted to creating multiphoton entanglement by multiplexing existing biphoton sources with linear optics and postselections. Different from all previous protocols, here we report, for the first time, the observation of continuous-mode time-energy-entangled W-class triphotons with an unprecedented generation rate directly through the process of spontaneous six-wave mixing (SSWM) in a four-level triple-Λ atomic vapor cell. Facilitated by electromagnetically induced transparency and coherence control, our SSWM scheme enables versatile narrowband triphoton generation with many intriguing properties including long temporal coherence and controllable waveforms, ideal for implementing long-distance quantum communications, networking, and information processing by interfacing photons and atoms. Most importantly, our work paves a way for the development of a reliable and efficient genuine triphoton source, thus making the research on multiphoton entanglement within easy reach.