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Laser Physics

Phase controlled multiphoton bandgap structure in ordered optical lattices

Nuo Ba, Jinnan Xuan, Dandan Wang, Lei Wang, Hai-Hua Wang

Published Apr 23, 2025• 0 citations
Publisher

Abstract

Abstract We investigate the steady-state optical response of a multilevel atomic ensemble with closed loops captured in a one-dimensional ordered optical lattice, and achieve a phase tunable multiphoton bandgap structure. The results indicate that the absorption and dispersion of the probe field are highly sensitive to the relative phase of the closed loop structure, so the number and width of transparent windows depend on the relative phase. Therefore, on the basis of electromagnetic induction transparency technology, the number and position of photon bandgaps can be periodically modulated by changing the relative phase. In addition, significant multiphoton bandgap structures can be obtained by selecting the appropriate strength of the microwave field and the coupling field.

DOI
10.1088/1555-6611/adc7df

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Abstract We investigate the steady-state optical response of a multilevel atomic ensemble with closed loops captured in a one-dimensional ordered optical lattice, and achieve a phase tunable multiphoton bandgap structure. The results indicate that the absorption and dispersion of the probe field are highly sensitive to the relative phase of the closed loop structure, so the number and width of transparent windows depend on the relative phase. Therefore, on the basis of electromagnetic induction transparency technology, the number and position of photon bandgaps can be periodically modulated by changing the relative phase. In addition, significant multiphoton bandgap structures can be obtained by selecting the appropriate strength of the microwave field and the coupling field.
Using the technique of electromagnetically induced transparency, three photonic bandgaps can be established and manipulated at any time due to the refraction modulated periodically by the one-dimensional optical lattice in a tripod atomic system which is trapped in a one-dimensional optical lattice with a Gaussian density distribution. Using the density-matrix equations to describe the interaction between laser and atoms and the transfer-matrix equation to describe the scattering of light waves in periodic media, we can obtain the steady reflection and transmission spectra. It can be found that the position and width as well as the reflectivity of the photonic band-gap could be tuned by changing the detunings and intensities of the coupling fields and the geometric Bragg detuning.
The absorption–dispersion properties of a microwave-driven five-level atom embedded in an isotropic photonic bandgap (PBG) have been studied. Due to the singular density of modes (DOM) in the isotropic PBG and the dynamically coherence induced by the coupling fields, modified reservoir-induced transparency and quantum interference-induced transparency emerge simultaneously. Their interaction leads to ultra-narrow spectral structure. As a result of closed-loop configuration, these features can be manipulated by the amplitudes and relative phase of the coherently driven fields. The position and width of PBG also have an influence on the spectra. The theoretical studies can provide us with more efficient methods to control the atomic absorption–dispersion properties, which have applications in optical switching and slow light.
The optical properties of a four-level double-V-type closed-loop system is studied in the multiphoton resonance condition. It is shown that the phase-dependent electromagnetically induced transparency (EIT) window is established and by changing the relative phase of the applied fields, EIT switches to electromagnetically induced absorption. Moreover, the optical bistability (OB) behavior of the system is studied, and it is demonstrated that the cross-Kerr-effect-induced OB depends on the relative phase of the applied fields, and it can be controlled by either intensity or relative phase of laser fields. By applying a microwave field to drive the hyperfine transition between two lower states, the optical properties change and OB switches to optical multistability. This can be used for detection of longer wavelengths than visible light.
Abstract Artificial periodic structures (APS) with controllable optical properties are highly demanded in all‐optical devices and circuits in communication networks. However, APS realized in solid materials are usually non‐tunable and inherently possess immutable photonic bandgap. In this article, a novel honeycomb lattice in an atomic ensemble by utilizing the multi‐beam interference method is reported. Unlike the honeycomb lattice formed in solid materials, the optical properties of this photoinduced honeycomb lattice, such as the absorption/dispersion coefficients and the photonic bandgap can be efficiently tuned by two‐photon detuning and Rabi frequency, resulting in both amplitude‐ and phase‐ type honeycomb lattice. Based on the two‐photon quantum‐imaging method, the near‐field diffraction of the honeycomb lattice is also investigated. It is found that the resolution of the diffraction pattern is tunable by simply adjusting the manner of the two detectors scanning across the imaging beams. In addition, the contrast of the pattern can be greatly enhanced by tuning the optical properties of the lattice. Such an optical honeycomb lattice with tunable properties could find applications in all‐optical switching at the few photons level and paves the way for the generation and manipulation of optical topological insulators.
We investigate a four-level double-Λ atomic scheme interacting with four laser fields, a weak probe field, a weak signal field and two driven fields, in a closed-loop configuration. We study the Kerr nonlinearity associated with cross-phase modulation based on electromagnetically induced transparency. Our results show, in this closed-loop system, that the strength of cross-phase modulation and two-photon absorption are dependent critically on the relative phase between the excitation paths. By choosing the parameters appropriately, large cross-phase modulation can be achieved within a wide transparency window, while two-photon absorption is cancelled completely. The strength of cross-phase modulation can be enhanced much more by decreasing the intensities of two driven fields.
We investigate a four-level double-Lambda atomic scheme interacting with four laser fields, a weak probe field, a weak signal field and two driven fields, in a closed-loop configuration. We study the Kerr nonlinearity associated with cross-phase modulation based on electromagnetically induced transparency. Our results show, in this closed-loop system, that the strength of cross-phase modulation and two-photon absorption are dependent critically on the relative phase between the excitation paths. By choosing the parameters appropriately, large cross-phase modulation can be achieved within a wide transparency window, while two-photon absorption is cancelled completely. The strength of cross-phase modulation can be enhanced much more by decreasing the intensities of two driven fields.