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arXiv:1307.4335 · Physical Review A

Multicharged optical vortices induced in a dissipative atomic vapor system

Yiqi Zhang, Milivoj R. Belić, Zhenkun Wu, Chenzhi Yuan, Ruimin Wang, Keqing Lu, Yanpeng Zhang

Published Jul 29, 2013• 15 citations
arXivHTMLPDF

Abstract

We investigate numerically the dynamics of optical vortex beams carrying different topological charges, launched in a dissipative three-level ladder-type nonlinear atomic vapor. We impose the electromagnetically induced transparency (EIT) condition on the medium. Linear, cubic, and quintic susceptibilities, considered simultaneously with the dressing effect, are included in the analysis. Generally, the beams slowly expand during propagation and new vortices are induced, commonly appearing in oppositely charged pairs. We demonstrate that not only the form and the topological charge of the incident beam but also its growing size in the medium greatly affect the formation and evolution of vortices. We formulate common rules for finding the number of induced vortices and the corresponding rotation directions, stemming from the initial conditions of various incident beams, as well as from the dynamical aspects of their propagation. The net topological charge of the vortex is conserved during propagation, as it should be, but the total number of charges is not necessarily the same as the initial number, because of the complex nature of the system. When the EIT condition is lifted, an enhancement region of beam dynamics is reached, in which the dynamics and the expansion of the beam greatly accelerate. In the end, we discuss the liquid-like behavior of light evolution in this dissipative system and propose a potential experimental scheme for observing such a behavior.

DOI
10.1103/physreva.88.013847

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We investigate numerically the dynamics of optical vortex beams carrying different topological charges, launched in a dissipative three-level ladder-type nonlinear atomic vapor. We impose the electromagnetically induced transparency (EIT) condition on the medium. Linear, cubic, and quintic susceptibilities, considered simultaneously with the dressing effect, are included in the analysis. Generally, the beams slowly expand during propagation and new vortices are induced, commonly appearing in oppositely charged pairs. We demonstrate that not only the form and the topological charge of the incident beam but also its growing size in the medium greatly affect the formation and evolution of vortices. We formulate common rules for finding the number of induced vortices and the corresponding rotation directions, stemming from the initial conditions of various incident beams, as well as from the dynamical aspects of their propagation. The net topological charge of the vortex is conserved during propagation, as it should be, but the total number of charges is not necessarily the same as the initial number, because of the complex nature of the system. When the EIT condition is lifted, an enhancement region of beam dynamics is reached, in which the dynamics and the expansion of the beam greatly accelerate. In the end, we discuss the liquid-like behavior of light evolution in this dissipative system and propose a potential experimental scheme for observing such a behavior.
In a numerical investigation, we demonstrate the existence and curious evolution of vortices in a ladder-type three-level nonlinear atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing effect. We find that the number of beads and topological charge of the incident beam, as well as its size, greatly affect the formation and evolution of vortices. To determine the number of induced vortices and the corresponding rotation direction, we give common rules associated with the initial conditions coming from various incident beams.
In a numerical investigation, we demonstrate the evolution of a one-dimensional and two-dimensional finite energy Airy beam in a Λ-type three-level atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing effect. Quasi-solitons and soliton pairs are observed due to this competition mechanism. We find that the frequency detuning of the pump field and its power greatly affect the formation and evolution of generated solitons. In general, around the two-photon resonance point and for low intensities of the pump field, it is less difficult to form solitons. This investigation enriches the study of the propagation properties of Airy beams and soliton generation in atomic vapor.
Electromagnetically induced transparency (EIT) is an important phenomenon in quantum optics, and has a wide range of applications in the fields of quantum information processing and quantum precision metrology. Recently, with the rapid progress of the generation and detection of structured light, the EIT with structured light has attracted enormous interests and offers new and novel functionalities and applications. Here, we theoretically study the propagation and evolution of Gaussian vortex beams, a typical type of structured light, in an EIT medium with Λ-type three-level atoms. Based on the generalized Huygens-Fresnel principle, we derive the analytical expressions of fully and partially coherent Gaussian vortex beams propagating in the EIT medium, and study the evolution of the intensity and phase distributions of the beams and their dependencies on parameters such topological charge, coherence length, Rabi frequency, etc. It is shown that both the fully and partially coherent Gaussian vortex beams undergo focusing and diverging periodically during propagation. The phase singularity of the fully coherent beam keeps unchanged, while the phase singularity of the partially coherent beam experiences splitting and recombination periodically. In addition, new phase singularities with opposite topological charge are generated in the latter case. Our results not only advance the study of the interaction between structured light and coherent media, but also pave the avenue for manipulating structured light via EIT.
Electromagnetically induced transparency (EIT) is a fundamental effect in quantum optics, providing a versatile platform for quantum technologies. A growing frontier is the integration of EIT with structured light, particularly vortex beams. Extending this to the spatiotemporal domain, we herein study the propagation and evolution of spatiotemporal optical vortex (STOV) beams in an EIT medium. We derive an analytical solution for the evolved STOV field and its stability criterion, and analyze the propagation dynamics with a primary focus on the evolution of the phase singularity. Following the splitting of the initial multi-charge STOV phase singularity upon propagation, the dynamics of the resultant first-order phase singularities are governed by the interplay of first-order loss dispersion (FLD), second-order loss dispersion (SLD), and group velocity dispersion (GVD) of the EIT medium. FLD dictates their overall directional shift, while SLD governs their mutual separation. Under normal GVD, the phase singularities evolve into parallel π -phase step lines and subsequently undergo a topological charge reversal; under zero GVD, only π -phase step lines are formed without topological charge reversal; both transitions are absent under anomalous GVD. These transitions occur in the far zone when the STOV’s center frequency lies within the EIT window, whereas around the absorption peak, they occur at a distance just prior to the critical point beyond which the field collapses. Furthermore, we establish the condition under which the splitting of the initial multi-charge STOV phase singularity is entirely suppressed throughout propagation. STOVs carry intrinsic transverse orbital angular momentum (OAM), providing a new, orthogonal dimension for photonic encoding beyond the conventional longitudinal OAM of spatial optical vortices. Integrating STOVs with EIT merges this robust quantum resource with a platform for coherent dispersion engineering, enabling high-dimensional quantum information processing in a vastly expanded state space that combines both longitudinal and transverse OAM.
Abstract We demonstrate the existence and curious propagation dynamics of self-accelerating beams in Λ-type three-level nonlinear atomic vapors with Kerr and cubic-quintic nonlinearities through numerical investigation and mathematical modelling. Upon adjusting the generation and propagation conditions, these nonlinear accelerating beams exhibit different evolution properties. We demonstrate that the input beams can propagate robustly in the medium regardless of its absorption properties. The shape and peak intensity of the main lobes of these input beams, which are the eigenmodes of the nonlinear Schrödinger equation (NLSE) in atomic media, are preserved for a significantly long propagation distance. If such beams are not the modes of the system, they are subjected to the under-healing or over-healing effect, which damages the shape of the self-accelerating beams. We also discuss the interactions between truncated accelerating beams, which readily generate non-accelerating solitons and soliton pairs. The results indicate that the atomic vapor can serve as a promising medium for the generation of nonlinear self-accelerating beams.
We investigate the propagation of an optical vector vortex weakly interacting with a coherently prepared atomic medium (phaseonium) in a three-level ΛΛΛ configuration. The vector beam consists of vortex pulse pairs with right- and left-circular polarizations, corresponding to opposite spin angular momentum (SAM), and carrying opposite orbital angular momentum (OAM) charges ±l\pm l±l. We show that during the propagation of the vortex pairs, analytically obtained in the linear regime, the medium inherits the topology of the vortex pair, mapping the OAM onto a spatially structured atomic coherence. This mapping produces 2∣l∣−2|l|-2∣l∣−fold azimuthal transparency structures that reshape the beam intensity from a ring into a petal-like pattern. The OAM-structured atomic coherence induces a corresponding optical anisotropy within the medium, which feeds back into the propagating vector beam, resulting in optical spin-orbit coupling manifested as SAM exchange, rotation, and evolution of polarization textures. Depending on the initial ground-state population of the phaseonium, the polarization state evolves between left-circular, linear, and right-circular polarizations.