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arXiv:2412.18133 · New Journal of Physics

N-photon bundles emission in high-spin Jaynes–Cummings model

Huanhuan Wei, Jing Tang, Yuangang Deng

Published Dec 1, 2024• 4 citations
arXivHTMLPDF

Abstract

Abstract High-spin quantum systems, endowed with rich internal degrees of freedom, constitute a promising platform for manipulating high-quality n-photon states. In this study, we explore n-photon bundles emission by constructing a high-spin Jaynes–Cummings model within a single-mode cavity interacting with a single spin- 3 / 2 atom. Our analysis reveals that the n-photon dressed state splittings can be significantly enhanced by adjusting the linear Zeeman shift inherent to the internal degrees of freedom in high-spin systems, thereby yielding well-resolved n-photon resonance. The markedly enhanced energy-spectrum anharmonicity, stemming from strong nonlinearities, enables the realization of high-quality n-photon bundles emission with large steady-state photon numbers, in contrast to conventional spin-1/2 JCM setups. Of particular interest is the realization of an optical multimode transducer capable of transitioning among single-photon blockade, two- to four-photon bundles emission, and photon-induced tunneling by tuning the light-cavity detuning in the presence of both cavity and atomic pump fields. This work unveils significant opportunities for diverse applications in nonclassical all-optical switching and high-quality multiphoton sources, deepening our understanding of creating specialized nonclassical states and fundamental physics in high-spin atom-cavity systems.

DOI
10.1088/1367-2630/ad9d6e

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Abstract High-spin quantum systems, endowed with rich internal degrees of freedom, constitute a promising platform for manipulating high-quality n-photon states. In this study, we explore n-photon bundles emission by constructing a high-spin Jaynes–Cummings model within a single-mode cavity interacting with a single spin- 3 / 2 atom. Our analysis reveals that the n-photon dressed state splittings can be significantly enhanced by adjusting the linear Zeeman shift inherent to the internal degrees of freedom in high-spin systems, thereby yielding well-resolved n-photon resonance. The markedly enhanced energy-spectrum anharmonicity, stemming from strong nonlinearities, enables the realization of high-quality n-photon bundles emission with large steady-state photon numbers, in contrast to conventional spin-1/2 JCM setups. Of particular interest is the realization of an optical multimode transducer capable of transitioning among single-photon blockade, two- to four-photon bundles emission, and photon-induced tunneling by tuning the light-cavity detuning in the presence of both cavity and atomic pump fields. This work unveils significant opportunities for diverse applications in nonclassical all-optical switching and high-quality multiphoton sources, deepening our understanding of creating specialized nonclassical states and fundamental physics in high-spin atom-cavity systems.
High-quality special nonclassical states beyond the strong single atom-cavity coupling regime are fundamental elements in quantum information science. Here, we study strong single-photon blockade to two-photon bundles emission in a single spin-1 atom coupled to an optical cavity by constructing a spin-1 Jaynes–Cummings model (JCM). By tuning the quadratic Zeeman shift, the energy-spectrum anharmonicity can be significantly enhanced, leading to a remarkable increase in the dressed-state splitting of the well-resolved n-photon resonance. The mechanism, which benefits from the internal degrees of freedom in high-spin systems, compensates for the strong coupling condition required by the multi-photon blockade, thereby facilitating the experimental feasibility of engineering special nonclassical states beyond the strong-coupling limit. It is shown that the photon emission from the spin-1 JCM demonstrates high-quality single photon and two-photon bundles with large steady-state photon numbers in the cavity-driven and atom-pump cases, respectively. In particular, compared to the two-level two-photon JCM, the antibunching amplitude of the three-order correlation function for two-photon bundles in the spin-1 JCM is enhanced by 3 orders of magnitude. More interestingly, a multimode transducer, enabling a transition from strong single-photon blockade to two-photon bundles and super-Poissonian photon emission, is achieved and highly controllable by the light-cavity detuning in the presence of both atom and cavity driven fields. This study based on the high-spin JCM broadens the scope of engineering special nonclassical quantum states beyond the standard two-level JCM. Our proposal not only opens up a new avenue for generating high-quality n-photon sources but also provides versatile applications in quantum networks and metrology.
We present a study on manipulation and enhancement of multiphoton bundles emission under a moderate atom-cavity coupling, by constructing a two-photon Jaynes-Cummings model integrated with Kerr nonlinearity in a single atom-cavity system. We show that the vacuum-Rabi splittings for the n th dressed states can be significantly enhanced by Kerr interaction. This remarkable enhancement in energy-spectrum anharmonicity with the well-resolved multiphoton resonance facilitates the generation of special nonclassical states beyond the strong-coupling limit in the experiment. In particular, both two- and three-photon blockades are observed with adjusting the amplitude of the cavity-driving or atom-pump fields. Moreover, we discover that transitions between two- and three-photon bundles can be achieved through tuning the atom-cavity detuning or Kerr nonlinearity. It further showcases the three-photon blockade is substantially strengthened when both the cavity and atomic fields are jointly driven. Our proposal unveils a pathway for realizing highly controllable nonclassical states and quantum devices with combining two-photon Jaynes-Cummings interactions and Kerr nonlinearity, which may pave the way for versatile applications in quantum information science, e.g., all-optical switches and transistors. Published by the American Physical Society 2024
The controlled generation of nonclassical light beyond single photons remains a central challenge in quantum optics, due to the difficulty of enhancing multiphoton processes while suppressing lower-order excitations. Here we propose an interference-interaction-engineered scheme for programmable few-photon emission in a cavity-QED system of three atoms coupled to orthogonal cavity modes. By adiabatically eliminating an auxiliary Fabry-Pérot cavity, we generate a tunable cavity-mediated spin-exchange interaction χχχ, which, combined with a controllable geometric phase φφφ, reshapes the many-body dressed-state spectrum. This interplay enables selective addressing of excitation manifolds (N=1,2,3N=1,2,3N=1,2,3), establishing a direct mapping between excitation structure and photon-emission channels. For φ=0φ=0φ=0, constructive interference enhances the spectral anharmonicity of low-excitation manifolds, yielding tunable single- and two-photon emission associated with the N=1N=1N=1 and N=2N=2N=2 manifolds. In contrast, for φ=2π/3φ=2π/3φ=2π/3, destructive interference suppresses lower-order excitation pathways and activates a resonant three-photon channel originating from the N=3N=3N=3 manifold. Importantly, the cavity-mediated interaction χχχ further enhances spectral separation between manifolds, enabling a substantial improvement in multiphoton purity while maintaining a sizable photon population. We demonstrate a three-order-of-magnitude enhancement in two-photon purity and more than two orders of magnitude improvement in three-photon emission. Our results establish a unified interference-interaction framework in which effective optical nonlinearities can be programmably engineered through phase and interaction, providing a scalable route toward high-purity multiphoton sources and programmable quantum photonic devices.
We propose a scheme to realize a two-photon Jaynes-Cummings model for a single atom inside an optical cavity. It is shown that the interplay of a laser detuning and atom (cavity) pump (driven) field gives rise to the strong single photon blockade, two-photon bundles, and photon-induced tunneling. With the cavity driven field, strong photon blockade occurs in the weak coupling regime, and switching between single photon blockade and photon-induced tunneling at two-photon resonance are achievable via increasing the driven strength. By turning on the atom pump field, quantum switching between two-photon bundles and photon-induced tunneling at four-photon resonance are realized. More interestingly, the high-quality quantum switching between single photon blockade, two-photon bundles, and photon-induced tunneling at three-photon resonance is achieved with combining the atom pump and cavity driven fields simultaneously. In contrast to the standard two-level Jaynes-Cummings model, our scheme with generating a two-photon (multi-photon) Jaynes-Cummings model reveals a prominent strategy to engineer a series of special nonclassical quantum states, which may pave the way for investigating basic quantum devices to implement in quantum information processing and quantum networks.
The generation of high-performance nonclassical light remains a cornerstone of quantum technologies, yet faces a fundamental trade-off between emission purity and brightness. Here, we demonstrate that cavity-mediated many-body spin-exchange interactions provide a route to overcome this constraint by collectively amplifying spectral anharmonicity. In a cavity-coupled atomic array with a programmable relative phase φφφ, the resulting interference-interaction mechanism reshapes the dressed-state manifold and enables deterministic switching between distinct quantum emission regimes. For φ=0φ=0φ=0, constructive interference yields high-purity single-photon emission with antibunching improved by four orders of magnitude while preserving strong photon flux. Conversely, for φ=πφ=πφ=π, destructive interference creates a dark single-photon manifold, resonantly activating two-photon processes to produce bright and pure photon-pair bundles. Our work establishes interference-engineered many-body interactions as a scalable mechanism for on-demand quantum light generation and open a new avenue for harnessing collective many-body physics in quantum photonics.
We propose an experimentally accessible scheme for realizing tunable nonclassical light in cavity-coupled reconfigurable atomic arrays. By coherently controlling the collective interference phase, the system switches from single-photon blockade to high-purity multiphoton bundle emission, unveiling a hierarchical structure of photon correlations dictated by atom-number parity and cavity detuning. The scaling of photon population identifies the transition between superradiant and subradiant regimes, while parity- and phase-dependent spin correlations elucidate the microscopic interference processes enabling coherent multiphoton generation. This work establishes a unified framework connecting cooperative atomic interactions to controllable nonclassical photon statistics and introduces a distinct interference-enabled mechanism that provides a practical route toward high-fidelity multiphoton sources in scalable cavity QEDs.