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arXiv:1610.01288 · Europhysics Letters (EPL)

Configuration-dependent reflection induced by dissipated localized modes

Wei Shen Zhu, Peng Zhang, D. L. Zhou

Published Feb 1, 2017• 0 citations
arXivHTMLPDF

Abstract

We study the one-photon scattering problem for a super-cavity (SC) coupling with two two-level atoms. With atomic decay, photon reflection shows a sudden drop at Δ = 0 only for the two atoms in the node-antinode configuration. The underlying mechanism is attributed to the fact that the scatterer has a configuration-dependent localized dissipated eigen-mode at Δ = 0 . In the node-antinode configuration, the eigen-mode localized at the input side, through which the photon can enter into the SC, then excites the atom at the node and finally leaks into the reservoir due to atomic decay. In this way, a sudden drop emerges at Δ = 0 in photon reflection. In the antinode-node case, however, the eigen-mode is localized at the output side, so the photon is completely reflected at Δ = 0 . A similar phenomenon has been observed in a recent experiment of X-ray quantum optics (R öhlsberger R. et al. , Nature , 482 (2012) 199) but with a complicated explanation due to electromagnetically induced transparency.

DOI
10.1209/0295-5075/117/44003

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We study the one-photon scattering problem for a super-cavity (SC) coupling with two two-level atoms. With atomic decay, photon reflection shows a sudden drop at Δ = 0 only for the two atoms in the node-antinode configuration. The underlying mechanism is attributed to the fact that the scatterer has a configuration-dependent localized dissipated eigen-mode at Δ = 0 . In the node-antinode configuration, the eigen-mode localized at the input side, through which the photon can enter into the SC, then excites the atom at the node and finally leaks into the reservoir due to atomic decay. In this way, a sudden drop emerges at Δ = 0 in photon reflection. In the antinode-node case, however, the eigen-mode is localized at the output side, so the photon is completely reflected at Δ = 0 . A similar phenomenon has been observed in a recent experiment of X-ray quantum optics (R öhlsberger R. et al. , Nature , 482 (2012) 199) but with a complicated explanation due to electromagnetically induced transparency.
We study the single-photon scattering along a one-dimensional cavity array with two distant two-level atoms in a supercavity, which aims to simulate a recent x-ray experiment [ Nature 482 , 199 (2012)]. Without introducing dissipation, we find that when one atom is exactly located at a node of a mode of the supercavity and the other is at the antinode of that mode, no splitting of the reflectivity peak can appear. Nevertheless, the atom at the node significantly changes the positions of the reflectivity valleys. On the other hand, when the atom is shifted a little from the exact node, then the splitting can appear. We also explain these results with an analysis based on the general formal scattering theory. Our result implies the importance of non-resonant modes of the supercavity in our problem.
We present a microscopic model of cavity quantum electrodynamics based on a one-dimensional (1D) coupled cavity array (CCA), where a supercavity (SC) is composed by a segment of the 1D CCA with relatively smaller couplings with the outsides. The single-photon scattering problem for the SC empty or with a two level atom in it is investigated. We obtain the exact theoretical result on the transmission rate for our system, which predicts that the transmission peaks shall appear near the eigenenergies of the SC. Our numerical results further prove that the SC is a well-defined multimode cavity. When a two level atom resonant with the SC locates at the antinode of the resonant mode, the transmission spectrum shows a clear sign of vacuum Rabi splitting as expected. However, when the atom locates at the node of the resonant mode, we observe a deep valley in the transmission peak, which can be explained by the destructive interference of two transmission channels: one is the resonant mode, while the other is arising from the atom coupling with the nonresonance modes. The effect of nonresonance modes on vacuum Rabi splitting is also analyzed.
The nonlocal emitter-waveguide coupling, which gives birth to the so called giant atom, represents a new paradigm in the field of quantum optics and waveguide QED. In this paper, we investigate the single-photon scattering in a one-dimensional waveguide on a two-level or three-level giant atom. Thanks to the natural interference induced by the back and forth photon transmitted/reflected at the atom-waveguide coupling points, the photon transmission can be dynamically controlled by the periodic phase modulation via adjusting the size of the giant atom. For the two-level giant-atom setup, we demonstrate the energy shift which is dependent on the atomic size. For the driven three-level giant-atom setup, it is of great interest that, the interference effect between different atomic transition paths, can lead to a complete transmission window, analogous to the electromagnetically induced transparency and beyond the two-photon resonance mechanism, and the width of the transmission valleys (reflection range) is tunable in terms of the atomic size. Our investigation will be beneficial to the photon or phonon control in quantum network based on mesoscopical or even macroscopical quantum nodes involving the giant atom.
The interaction of a quantized field with three-level atoms in $\ensuremath{\Lambda}$ configuration inside a two-mode cavity is analyzed in the small-noise approximation. The atoms are in a two-photon detuning with respect to the carriers of the field. We calculate the stationary quadrature noise spectrum of the field outside the cavity in the case where the input probe field is a squeezed state and the input pump field is a coherent state. The mean value of the field is unaltered in all the analysis: the atoms shows electromagnetically induced transparency. The effect of the atoms' base level decoherence in the cavity output field is also studied. It is found that the output field is very sensitive to two-photon detuning.
We study the spectra of collective low excitations of two atomic ensembles which couple with a single-mode cavity field. When the left ensemble is driven with an external optical field, its corresponding response spectrum to the incident optical light shows an electromagnetically-induced-transparency--like (EIT-like) phenomenon when the layers are arranged in the sequence of node antinode but not in the sequence of antinode node. In the case of antinode-antinode sequence, the response spectrum shows an EIT-like phenomenon with two transparent windows. We also investigate the fluctuation spectra of the atomic collective excitation modes and show similar EIT-like phenomena.
We study the coherent scattering process of a single photon confined in an one-dimensional (1D) coupled cavity-array, where a $\ensuremath{\Lambda}$-type three-level atom is placed inside one of the cavities in the array and behaves as a functional quantum node (FQN). We show that, through the electromagnetically-induced-transparency mechanism, the $\ensuremath{\Lambda}$-type FQN bears complete control over the reflection and transmission of the incident photon along the cavity array. We also demonstrate the emergence of a quasibound state of the single photon inside a secondary cavity constructed by two distant FQN's as two end mirrors, from which we are motivated to design an all-optical single photon storage device of quantum coherence.