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Journal of the Optical Society of America B

Quantum interference on the transmission spectrum of a timed Dicke state in an open cavity

Chunxiao Zhou, Zhi He, Binfang Cao, Xue Fu Shang

Published Mar 5, 2021• 2 citations
Publisher

Abstract

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.

DOI
10.1364/josab.414168

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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.
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.
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.
We report the generation of a new quantum interference effect in spontaneous emission from a resonantly driven system of two identical two-level atoms due to the spatial variation of the laser phase at the positions of the atoms. This interference affects significantly the spectral features of the emitted radiation and the quantum entanglement in the system. The interference leads to dynamic coupling of the populations and coherences in a basis, determined by the laser phase and represents a kind of vacuum mediated superexchange between the symmetric and antisymmetric states.
We analyze the effect of the position-dependent excitation phase on the properties of entanglement between two qubits formed in atomic systems. We show that the excitation phase induces a vacuum-mediated quantum interference in the system that affects the dynamical behavior of entanglement between the qubits. It is also found that the quantum interference leads to a coherent population transfer between the symmetric and antisymmetric states that can considerably modify the dynamics of two-qubit entanglement and can even prevent finite-time disentanglement (sudden death) under certain conditions.
When a coherently prepared atomic medium is confined in an optical cavity, the atomic coherence and interference manifested by electromagnetically induced transparency (EIT) can be manipulated and enhanced by the collective atom–cavity coupling and the cavity feedback. We present an experimental study of the light transmission through an optical cavity coupled with coherently prepared cold Rb atoms. In the frequency domain, the cavity transmission spectrum exhibits spectral peaks representing the cavity normal modes associated with the multi-atom vacuum Rabi splitting and the intra-cavity dark state manifested by the combined EIT effects of the absorption suppression and the steep normal dispersion. In the time domain, a light pulse coupled into the cavity mode propagates with a slow group velocity and the propagation time delay is significantly increased by the cavity feedback.
We report experimental measurements of the transmission spectrum of an optical cavity coupled with cold Rb atoms. We observe the multiatom vacuum Rabi splitting of a composite cavity and atom system. When a coupling field is applied to the atoms and induces the resonant two-photon Raman transition with the cavity field in a $\ensuremath{\Lambda}$-type system, we observe a cavity transmission spectrum with two vacuum Rabi sidebands and a central peak representing the intracavity dark state. The central peak linewidth is significantly narrowed by the dark-state resonance and its position is insensitive to the frequency change of the empty cavity.