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arXiv:1305.3636 · Physical Review A

High-frequency light reflector via low-frequency light control

Da‐Wei Wang, Shi-Yao Zhu, Jörg Evers, Marlan O. Scully

Published Jan 27, 2015• 16 citations
arXivHTMLPDF

Abstract

We show that the momentum of light can be reversed via the atomic coherence created by another light with one or two orders of magnitude lower frequency. Both the backward retrieval of single photons from a timed Dicke state and the reflection of continuous waves by high-order photonic band gaps are analyzed. The required control field strength scales linearly with the nonlinearity order, which is explained by the dynamics of superradiance lattices. Experiments are proposed with $^{85}\mathrm{Rb}$ atoms and ${\mathrm{Be}}^{2+}$ ions. This holds promise for light-controllable x-ray reflectors.

DOI
10.1103/physreva.91.011801

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We show that the momentum of light can be reversed via the atomic coherence created by another light with one or two orders of magnitude lower frequency. Both the backward retrieval of single photons from a timed Dicke state and the reflection of continuous waves by high-order photonic band gaps are analyzed. The required control field strength scales linearly with the nonlinearity order, which is explained by the dynamics of superradiance lattices. Experiments are proposed with 85Rb^{85}\mathrm{Rb}85Rb atoms and Be2+{\mathrm{Be}}^{2+}Be2+ ions. This holds promise for light-controllable x-ray reflectors.
Abstract We report that modified superradiance lattice (2023, Phys. Scr. 98 015 105) can be used to obtain high-frequency photonic band gaps which are controllable using low-frequency light. Here, we also notice that the maximum reflectivity of these photonic band gaps can be achieved via low-frequency light control. This maximum reflectivity remains constant for a certain range of probe detuning depending upon the strength of the control field. We also report that this can lead to experimental realization of the soft x-ray regime (high-frequency) via 61st-order low-frequency light using Be2+ ions, the corresponding reflectivity in this case is 96%. Therefore, one can construct controllable x-ray photonic band gaps which can further be used to devise optical switches, beam splitters, and frequency combs. Moreover, this scheme holds the promise of working efficiently in all types of other configurations where reflection of high-frequency light is needed using nth order low-frequency light.
We report photonic band gaps based on a modified superradiance lattice having reflectivity close to 100% for both the low and high-frequency ranges. We observe that tuning the relative phase between the coupling fields provides additional control over photonic band gaps. We notice that the relative phase can control three input channels of the probe field simultaneously and efficiently. This feature of relative phase over photonic band gaps provides potential in the field of quantum optics. Further, this scheme is experimentally more viable. Rubidium atoms 87 Rb can obtain low-frequency (infrared) photonic band gaps. On the other hand, rubidium atoms 85 Rb and beryllium ions Be 2+ can form high-frequency ultraviolet and soft X-ray photonic band gaps, achieving reflectivities of 80% and 96%, respectively. This scheme holds promise for constructing highly efficient optical switches and beam splitters.
We study a five-level $\text{quasi}\ensuremath{-}\ensuremath{\Lambda}$ system of cold atoms for achieving high-order photonic band gaps (PBGs) probed by an ultraviolet field in two cases where either an infrared or a visible control field works in the standing-wave configuration to induce one atomic grating. Transfer-matrix calculations for appropriate rubidium levels demonstrate that three fifth-order band gaps or two second-order band gaps can be generated near the probe resonance when the standing-wave control field is modulated to satisfy relevant Bragg conditions in the regime of electromagnetically induced transparency. These high-order PBGs, as characterized by homogeneous high reflectivities, can be dynamically tuned in positions and widths on demand and may be extended to develop efficient devices (like diodes and reflectors) for manipulating weak high-frequency light with strong low-frequency light.
Abstract We propose a scheme for generating frequency combs in an electromagnetically induced transparency—based superradiance lattice. When the probe frequency satisfies the m th-order resonance condition with the control field, 2 m + 1 discrete spectral components emerge, forming a frequency comb. The comb spacing and reflectivity are dynamically tunable via the control-field strength. The proposed scheme is experimentally feasible and enables the generation of low-frequency (infrared) combs using 87 Rb atoms. Moreover, high-frequency combs in the ultraviolet and x-ray regimes can be realized using 85 Rb atoms and Be 2 + ions, exhibiting appreciable reflectivity. These results establish a versatile platform for frequency-comb generation with potential applications in quantum optics and quantum information processing.
We report that frequency combs are generated within the superradiance lattice from low frequency (infrared) to high frequency (X-ray) range. Our observations reveal that the infrared frequency combs have a reflectivity approaching 95%, while the X-ray frequency combs exhibit approximately 55% reflectivity. We can control the width and amplitude of the spectral lines of these frequency combs by adjusting the control field intensity. This atomic scheme is experimentally viable. We can propose conducting experiments utilizing beryllium ions for X-rays and rubidium atoms for generating infrared frequency combs. This approach holds great promise for potential applications in quantum optics.
We study the effect of quantum phase fluctuation (QPF) on a one-dimensional superradiance lattice (1DSL) and its application as a controllable high-frequency light reflector. In electromagnetically induced transparency (EIT)-based 1DSL [ Phys. Rev. Lett. 114 , 043602 ( 2015 ) PRLTAO 0031-9007 10.1103/PhysRevLett.114.043602 ], counter-propagating control laser fields are responsible for the hopping of electrons from the i th to the j th atom, where n 1 and n 2 coupling photons are required for forward and backward modes, respectively. In the limit of n 1 , n 2 ≫ 1 , the role of QPF becomes significant, and, therefore, the phase diffusion model of 1DSL needs to be considered. We show that in the presence of QPF a perfect 1DSL can be realized due to the fact that EIT vanishes at the resonance condition when probe detuning is zero. It leads to a reasonably high (around 60%) reflectivity of the incident probe field at resonance condition. For the off resonant case, the reflectivity reduces due to the phase diffusion; however, it can be overcome via manipulation of the control fields.