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Physical Review A

Quantum theory of loss-induced transparency in coupled waveguides

I. Beder, Paulo Aguiar Brandão

Published Sep 3, 2024• 5 citations
Publisher

Abstract

Several years ago, Guo et al. [Phys. Rev. Lett. 103, 093902 (2009)] demonstrated a counterintuitive phenomenon wherein the transmission of classical light through a coupled pair of waveguides is enhanced as the level of loss in one waveguide surpasses a critical threshold. In this paper, we employ the Heisenberg-Langevin formalism to explore a quantum perspective of this phenomenon. In the case where light is incident in both waveguides, a generally nonzero interference term in the presence of loss appears. Our analysis reveals that loss-induced transparency can manifest at the single-photon level for both separable and entangled photonic states.

DOI
10.1103/physreva.110.033503

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Several years ago, Guo et al. [Phys. Rev. Lett. 103, 093902 (2009)] demonstrated a counterintuitive phenomenon wherein the transmission of classical light through a coupled pair of waveguides is enhanced as the level of loss in one waveguide surpasses a critical threshold. In this paper, we employ the Heisenberg-Langevin formalism to explore a quantum perspective of this phenomenon. In the case where light is incident in both waveguides, a generally nonzero interference term in the presence of loss appears. Our analysis reveals that loss-induced transparency can manifest at the single-photon level for both separable and entangled photonic states.
Abstract The transmission of photons through a pair of coupled single-mode waveguides is studied in detail. It is assumed that one of the waveguides is coupled to a non-Markovian reservoir, described by a Lorentzian spectrum distribution. We identified four distinct regimes for the transmission coefficient and found that, in some conditions, it is more efficient to launch the photons in the lossy waveguide to achieve high transmission. We also report on a loss-induced transparency effect that is induced by the distribution of the frequencies present in the reservoir.
Conventional wisdom holds that quantum effects are fragile and can be destroyed by loss. Here, contrary to general belief, we show how to realize quantum revival of optical correlations at the single-photon level with the help of loss. We find that, accompanying loss-induced transparency of light in a nonlinear optical-molecule system, quantum suppression and revival of photonic correlations can be achieved. Specifically, below critical values, adding loss into the system leads to suppressions of both optical intensity and its non-classical correlations; however, by further increasing the loss beyond the critical values, quantum revival of photon blockade (PB) can emerge, resulting in loss-induced switch between single-PB and two-PB or super-Poissonian light. Our work provides a strategy to reverse the effect of loss in fully quantum regime, opening up a counterintuitive route to explore and utilize loss-tuned single-photon devices for quantum technology.
Loss-induced transparency (LIT), featuring the revival of optical intensity by adding loss, has been demonstrated in classical optics. However, a fundamental question has remained unexplored, i.e., during the process of LIT, whether quantum correlations of the photons can also be revived or even tuned by increasing the loss. Here we find that, accompanying classical LIT in a nonlinear optical-molecule system, a purely quantum effect as photon blockade (PB) indeed can be revived with the help of loss. In particular, a quantum critical point emerges in the system: below the point, adding loss leads to the suppression of optical intensity and its correlations; in contrast, by surpassing the point, PB is revived and enhanced with more losses. Also, a quantum switch between single-PB and two-PB can be realized by simply tuning the loss. Our work provides a counterintuitive strategy to engineer quantum devices in a practical lossy environment.
Quantum interference, responsible for a number of resonant optical phenomena, always intrigues researchers because of its application in optical devices. This work studies it in multiwaveguide systems bridged by Jaynes-Cummings emitters (JCEs) based on the scattering matrix theory. Two types of quantum interference are distinguished here. The first is between the incident wave and those scattered from the JCEs, while the second is only among those scattered waves. The first type leads to the two transmission valleys at the two eigenfrequencies of the JCEs in single-waveguide--single-JCE coupled systems. However, the second type is responsible for the narrow transmission peaks in single-waveguide--multi-JCE coupled systems, locating in the above transmission valleys. This work first shows the properties of the second type of quantum interference in detail and then discusses its two applications. On the one hand, the second type of quantum interference can be used to tailor the transmission spectra to achieve the electromagnetically-induced-transparency-like line shapes with a large group delay. On the other hand, it can also lead to the single-photon jumping between two certain waveguides with a nearly 100100%100 chance in multiwaveguide systems by switching on or off some of the couplings of the JCEs to the waveguides. These applications with small peak widths commonly require a small loss and might have potential in quantum informatics.
Abstract We investigate the single-photon transport properties in a hybrid waveguide quantum electrodynamics system, in which a one-dimensional waveguide is simultaneously coupled to a cavity and a driven Λ-type three-level atom. The cavity and the atom are also coupled to each other. We show that when the waveguide is coupled to the cavity and the atom at the same point, double electromagnetically induced transparency (EIT) can be observed from the system. The physical mechanism of the double EIT effect has been given by setting up the eigenstate structure for the whole system. When the waveguide is coupled to the cavity and the atom at different points, we demonstrate that the single-photon transmission spectra can be effectively controlled by adjusting the relative separation between the cavity and the atom. Moreover, this non-zero relative separation can lead to the occurrence of the controllable nonreciprocal scattering effect. These results have potential applications in realization of photonic coherent control.