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Physica Scripta

Enhancing the spectrum of timed Dicke state via squeezing a cavity mode

Chun-xiao Zhou, Binfang Cao, Guang Yang, Xue Fu Shang

Published Feb 13, 2023• 0 citations
Publisher

Abstract

Abstract In this work we present transmission spectra of a two atom timed Dicke state in an optical cavity which is subject to the parametric driving. In the proposed scheme, the parametric driving can squeeze the cavity mode and exponentially enhance the atom-cavity interaction. We show that the interaction between the timed Dicke state and squeezed cavity mode induces the quantum interference and normal mode splitting on the transmission spectra. In addition, we demonstrated that the spectra intensities are exponential quadratic enhanced under the parametric driving, which may provide a feasible scheme for sensitivity enhancement of the single photon measurement.

DOI
10.1088/1402-4896/acbba7

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Abstract In this work we present transmission spectra of a two atom timed Dicke state in an optical cavity which is subject to the parametric driving. In the proposed scheme, the parametric driving can squeeze the cavity mode and exponentially enhance the atom-cavity interaction. We show that the interaction between the timed Dicke state and squeezed cavity mode induces the quantum interference and normal mode splitting on the transmission spectra. In addition, we demonstrated that the spectra intensities are exponential quadratic enhanced under the parametric driving, which may provide a feasible scheme for sensitivity enhancement of the single photon measurement.
Cavity quantum electrodynamics (QED) serves as a fundamental platform for studying light-matter interactions at a single-particle level and has been extensively investigated in fundamental physics and quantum information. Recent development of parametrically squeezed techniques has demonstrated that they have the remarkable ability to exponentially enhance coherent atom-cavity coupling. However, the full extent to which these techniques can manipulate quantum optical phenomena requires further exploration. This work systematically investigates the influence of optical parametric amplification on single-photon excited atom-cavity systems within a parametrically driven cavity. In the proposed model, optical parametric amplification converts the driving photons into a squeezed cavity mode, which enhances the atom-cavity interaction into the strong coupling region. Through analytical derivation of atomic and cavity radiation spectra, we demonstrate that the optical parametric amplification induces splitting of atomic radiation spectra while exerting negligible effects on spectral intensity. Conversely, the cavity transmission spectrum exhibits both pronounced splitting and nonlinear intensity amplification. Notably, as driving field intensity approaches a critical intensity regime, the cavity radiation spectrum intensity is significantly enhanced. The underlying mechanism is parametric driving amplification, which converts the driving light into a squeezed cavity mode. When this squeezed mode is mapped back to the fundamental mode of the cavity through Bogoliubov squeezing transformation, the pump photons within the squeezed cavity mode are converted into the photons that contribute to the radiation spectrum of the cavity, thereby amplifying its intensity. This parametric enhancement method not only deepens the basic understanding of light-matter interactions, but also establishes a practical framework for improving the single-photon detection sensitivity in cavity-based quantum systems. These findings have broad prospects for quantum sensing and information processing applications.
The transmission spectrum of a two-atom timed Dicke state is investigated in an open optical cavity. In the proposed system, two identical atoms are excited by an external single photon field. In this process, the excited atoms grasp different excitation phases for their different spatial positions. For identical coupling strength of atoms and cavity, the excitation phases get coupled via cavity and vacuum fields, and they finally induce cosine-type quantum interference on the two splitting peaks of the spectrum. However, when one of the atoms is decoupled with the cavity, the excitation phases cannot get coupled directly via the cavity but must be mediated by the vacuum fields, which leads to opposite quantum interference effects on the two splitting peaks. In addition, we find that the real and virtual vacuum-mediated excitation phase couplings generate different quantum interferences. The real vacuum-meditated coupling induces sine-type quantum interference, while it becomes cosine-type for the virtual vacuum-mediated coupling. Our study clarifies the mechanism of quantum interference in the two-atom timed Dicke state and provides a feasible scheme for investigating the effect of vacuum-mediated excitation phase coupling.
We propose a scheme to enhance the light-matter coupling in a cavity QED system where two $\mathrm{\ensuremath{\Lambda}}$ atoms are weakly coupled to a single-mode cavity via multiphoton interaction. By introducing a second-order nonlinear (parametric) driving of the cavity, the original NNN-photon exchanges between the atoms, and the cavity can be reduced to either an effective single- or two-photon transition depending on the odevity of NNN, with the effective atom-field interaction strength being significantly enhanced. This results in an NNN-dependent effective coupling strength on top of the exponential enhancement induced only by the parametric driving. As an example, we demonstrate that our proposal can be exploited for the preparation of high-fidelity steady-state entanglement. The proposed scheme could provide a feasible alternative for diverse applications in quantum technologies.
Abstract We investigate the quantum interference effect of single photon transfer in a two-atom cavity system caused by the excitation phase. In the proposed system, the two identical atoms are firstly put into a timed state by an external single photon field. During the excitation, the atoms grasp different phases which depend on the spatial position of the atoms. Due to the strong resonant interaction between the atoms and optical cavity mode, the absorbed input photon can be efficiently transferred from the atoms to the cavity mode. We show that photon transfer is sensitive to the quantum interference caused by the excitation phases of atoms. The atomic positions can also determine the coupling constants between the atoms and cavity mode as well as the interatomic dipole–dipole interaction which causes additional interference effects on the quantum transfer. Based on the characteristics of the excitation phase, we find that it is a feasible scheme to generate a long-lived dark state and it could be useful for storage and manipulation of single photon fields by controlling the excitation phase.
We propose a theoretical method to enhance the coherent dipole coupling between two atoms in an optical cavity via parametrically squeezing the cavity mode. In the present scheme, conditions for coherent coupling are derived in detail and diverse dynamics of the system can be obtained by regulating system parameters. In the presence of environmental noise, an auxiliary squeezed field is employed to suppress and even completely eliminate the additional noise induced by squeezing. In addition, we demonstrate that our scheme enables the effective suppression of atomic spontaneous emission. The results in our investigation could be used for diverse applications in quantum technologies.
We consider the interaction of a two-level atom inside an optical parametric oscillator. In the weak-driving-field limit, we essentially have an atom-cavity system driven by the occasional pair of correlated photons, or weakly squeezed light. We find that we may have holes, or dips, in the spectrum of the fluorescent and transmitted light. This occurs even in the strong-coupling limit when we find holes in the vacuum-Rabi doublet. Also, spectra with a subnatural linewidth may occur. These effects disappear for larger driving fields, unlike the spectral narrowing obtained in resonance fluorescence in a squeezed vacuum; here it is important that the squeezing parameter N tends to zero so that the system interacts with only one correlated pair of photons at a time. We show that a previous explanation for spectral narrowing and spectral holes for incoherent scattering is not applicable in the present case, and propose an alternative explanation. We attribute these anomalous effects to quantum interference in the two-photon scattering of the system.