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Physical Review A

van der Waals interaction–induced reverse saturable absorption in Rydberg atoms

Seyed Morteza Mousavi, Noushin Parkan, Mohammad Mahmoudi

Published Nov 12, 2025• 1 citation
Publisher

Abstract

The influence of van der Waals (vdW) interaction on the nonlinear optical properties of Rydberg atoms is investigated within a three-level cascade scheme established using two probe and control laser fields. It is demonstrated that vdW interaction can induce reverse saturable absorption (RSA) in the Rydberg atoms in the two-photon resonance condition, enabling controllable optical limiting behavior. Furthermore, the presence of vdW interaction facilitates a switch between saturable absorption and RSA and vice versa beyond the two-photon resonance condition, thereby enabling intrinsic optical bistability in the system.

DOI
10.1103/sg5p-ddw3

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The influence of van der Waals (vdW) interaction on the nonlinear optical properties of Rydberg atoms is investigated within a three-level cascade scheme established using two probe and control laser fields. It is demonstrated that vdW interaction can induce reverse saturable absorption (RSA) in the Rydberg atoms in the two-photon resonance condition, enabling controllable optical limiting behavior. Furthermore, the presence of vdW interaction facilitates a switch between saturable absorption and RSA and vice versa beyond the two-photon resonance condition, thereby enabling intrinsic optical bistability in the system.
We study optical bistable behavior of a Rydberg electromagnetically-induced transparency (EIT) atomic medium in a unidirectional optical ring-cavity. Due to strong van del Waal (vdW) interactions between the atoms, both optical nonlinear dispersion and nonlinear absorption coefficients are enhanced substantially. Under the condition of two-photon on resonance, we show that probe one-photon detuning can change the phase of the third order nonlinearity coefficient, which tunes the character of the optical bistability within different ratios of dispersive and absorptive types. This enables the single-photon control over photonic devices for further manipulation of light other than switches and transistors. More interestingly, we predict appearance of a scaling phenomena for optical bistabilities with the factors of coupling Rabi frequency and atomic density. Additionally, we also discuss the influence of the cavity detuning and the mirror transmission coefficient on the optical bistable behavior. The strong bistable feature provides a good ingredient for realizing all-optical logic gate devices in optical computing.
We explore the coherent control of nonlinear absorption of intense laser fields in four-level atomic systems. For instance, in a four-level ladder system, a coupling field creates electromagnetically induced transparency (EIT) with an Aulter-Townes doublet for the probe field while the control field is absent. A large absorption peak appears at resonance as the control field is switched on. We show how such a large absorption leads to optical switching. Further, this large absorption diminishes and a transparency window appears due to the saturation effects as the strength of the probe field is increased. We further demonstrate that the threshold of the optical bistability can be modified by suitable choices of the coupling and the control fields. In a four-level Y\mathsf{Y}Y-type configuration, the effect of the control field on saturable absorption (SA) and reverse saturable absorption (RSA) is highlighted in the context of nonlinear absorption of the probe field. We achieve RSA and SA in a simple atomic system just by applying a control field.
Abstract We study in theory the single-photon Rydberg excitation in an ensemble of two-level cold atoms at finite low temperatures. Rydberg population plotted against laser detuning may exhibit a nonlinear bistable behavior arising from the dipole–dipole interactions manifested as a van der Waals (vdW) potential. We find that Doppler broadening can result in a remarkable reduction of the bistable region, which may disappear as the atomic temperature increases to a certain value, of the order of tens to hundreds of μ K. This special temperature, depending critically on the vdW potential, can be largely raised by partially eliminating the Doppler effect, when a double-photon excitation scheme is used to replace the single-photon excitation scheme.
We present a novel approach to achieving intrinsic optical bistability and multistability through the interplay between saturable and reverse saturable absorption. Our findings reveal that the stable points on the optical bistability curve align with the switching points of intensity-dependent nonlinear absorption. By analyzing the optical properties of a four-level cascade quantum system, we demonstrate that these switching behaviors can be triggered by applying laser fields to induce nonlinear absorption. Furthermore, we propose a comprehensive model to describe the intensity-dependent nonlinear absorption within this quantum system. Finally, it is shown that the optical bistability switches to the multistability when the detuning of applied fields exceeds the multi-photon resonance condition.
In the regime of Rydberg electromagnetically induced transparency, we study the correlated behaviors between the transmission spectra of a pair of probe fields passing through respective parallel one-dimensional cold Rydberg ensembles. Due to the van der Waals (vdW) interactions between Rydberg atoms, each ensemble exhibits a local optical nonlinearity, where the output EIT spectra are sensitive to both the input probe intensity and the photonic statistics. More interestingly, a nonlocal optical nonlinearity emerges between two spatially separated ensembles, as the probe transmissivity and probe correlation at the exit of one Rydberg ensemble can be manipulated by the probe field at the input of the other Rydberg ensemble. Realizing correlated Rydberg EITs holds great potential for applications in quantum control, quantum network, quantum walk and so on.
We study the electromagnetically induced transparency (EIT) effect with two individually addressed four-level Rydberg atoms subjected to the interatomic van der Waals interaction. We derive an effectively atomic Raman transition model where two ladders of the usual Rydberg EIT setting terminating at the same upper Rydberg level of long radiative lifetime are turned into a Rydberg EIT $\ensuremath{\lambda}$ setup via two-photon transitions, leaving the middle levels of each ladder largely detuned from the coupling and probe laser beams. It can hence overcome the limits of applications for EIT with atoms of the ladder-type level configuration involving a strongly decaying intermediate state by inducing coherence between two ground states. By probing one of the atoms, we observe four doublets of absorption induced by the Autler-Townes splitting and the van der Waals interaction. In particular, we find that the location of the EIT center remains unchanged compared to the interatomic-interaction-free case, which demonstrates that the interference among the multiple transition channels is basically destructive. The EIT with controlled Rydberg-Rydberg interaction among a few atoms provides a versatile tool for engineering the propagation dynamics of light.