Experimental Observation of Rabi Oscillations in Photonic Lattices

Shandarova, K.; Rüter, Christian E.; Kip, Detlef; Makris, Konstantinos G.; Christodoulides, Demetrios N.; Peleg, Or; Segev, Mordechai

doi:10.1103/physrevlett.102.123905

Cited by 102 publications

(67 citation statements)

References 18 publications

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“…Optical waveguide arrays represent yet another class of periodic structures and have been the focus of intense research in the last decade [6][7][8][9][10][11][12][13][14]. As indicated in several studies, optical arrays can be used as versatile platforms to observe a number of processes ranging from Bloch oscillations [9,10] to Landau-Zener tunneling [11], and from Anderson localization [12] to discrete solitons [6,7] and Rabi oscillations [13] and dynamic localization [14], just to mention a few. Along similar lines, longitudinally periodically modulated optical waveguide arrays have also been studied in several works [15,16].…”

Section: Introductionmentioning

confidence: 99%

Optical mesh lattices withPTsymmetry

Miri

Regensburger

Peschel³

et al. 2012

Phys. Rev. A

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111

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We investigate a new class of optical mesh periodic structures that are discretized in both the transverse and longitudinal directions. These networks are composed of waveguide arrays that are discretely coupled while phase elements are also inserted to discretely control their effective potentials and can be realized both in the temporal and the spatial domain. Their band structure and impulse response is studied in both the passive and parity-time (PT ) symmetric regime. The possibility of band merging and the emergence of exceptional points along with the associated optical dynamics are considered in detail both above and below the PT -symmetry breaking point. Finally unidirectional invisibility in PT -synthetic mesh lattices is also examined along with possible superluminal light transport dynamics.

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Section: Introductionmentioning

confidence: 99%

Optical mesh lattices withPTsymmetry

Miri

Regensburger

Peschel³

et al. 2012

Phys. Rev. A

Self Cite

111

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“…The profile of the effective refractive index is in form of U (X) = [n 2 s − n 2 (X)]/(2n s ) ≃ n s − n(X) with the refractive index n(X) for the waveguide array. By using the periodic modulation techniques of n(X) [25], one can build a bichromatic superlattice of…”

Section: In-gap States In Photonic Superlatticesmentioning

confidence: 99%

“…In Fig. 2(a), we show the surface wave in this semi-infinite periodic system with η = 0.3, ∆ = 0.2 and N = 0, which corresponds to n 1 = 2.2×10 −4 , n 2 = 7.6×10 −4 ) and θ = arctan(0.2) in an experimental system of λ = 980 nm, n s = 1.518 and Λ = 8 µm [24,25]. In this situation, we take x 0 = π/2 and thus have V 0 = −(∆ 2 + 8η 2 )/4 + (∆/2 − 2η sin(x 0 )) 2 = 0.06.…”

Section: Surface States In Single-interface Systemsmentioning

confidence: 99%

Finite-superposition solutions for surface states in a type of photonic superlattice

Xie

Lee

2012

Phys. Rev. A

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We develop an efficient method to derive a class of surface states in photonic superlattices. In a kind of infinite bichromatic superlattices satisfying some specific conditions, we obtain a finite portion of their in-gap states, which are superpositions of finite numbers of their unstable Bloch waves. By using these unstable in-gap states, we construct exactly several stable surface states near various interfaces in photonic superlattices. We analytically explore the parametric dependence of these exact surface states. Our analysis provides an exact demonstration for the existence of surface states and would be also helpful to understand surface states in other lattice systems.

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“…In particular, revivals, akin to stimulated transitions in twolevel quantum systems [7], were implemented in longperiodic gratings created in optical fibers [8,9]. Stimulated conversions of one-dimensional guided modes were demonstrated in shallow waveguides and periodic lattices [10,11]. Of special interest is the realization of stimulated transition between states having different topologies, for example between vortices with different topological charges.…”

mentioning

confidence: 99%

Dynamics of topological light states in spiraling structures

2013

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We expose a mechanism for the dynamical generation and control of light states with diverse topologies in spiraling guiding structures. Specifically, we show that spiraling shallow refractive index landscapes induce coupling and periodic energy exchange between states with different topological charges. Such a resonant effect enables excitation of optical vortices by vortex-free inputs and allows the output topological charge of the beam to be controlled. The presence of nonlinearity results in a strong asymmetrization of the resonant curves and a shift of the resonant frequencies. Resonant vortex dynamic generation, including revivals, is shown to be possible not only in waveguides mediated by total internal reflection but also in Braggguiding hollow-core geometries.OCIS (190.6135 The global and local topology of the wavefront of a light field is a fundamental property of the corresponding beam, with profound implications for its evolution. The simplest examples are topological phase singularities nested in a smooth wavefront, which appear as vortices around which the light energy flow circulates [1]. Vortices can follow complex trajectories and even form knots [2,3]. Light beams carrying vortices are employed in numerous applications (for a review see, e.g., Ref.[4]).Vortices can be nested in light beams in a variety of ways [5]. However, their dynamical evolution depends critically on the properties of the medium. Thus, vortices may be highly sensitive to non-uniformities of the refractive index in the propagation path. Here we show that suitable spiraling guiding structures offer new tools for controllable dynamical transformation of the vortex content of propagating beams that are not accessible in uniform materials. The key insight put forward is based on the dynamics of topological states of light in modulated guiding structures where the orbital angular momentum of light, and hence the field topology, is not conserved.Longitudinal refractive index modulations may lead to a variety of resonant effects (for a recent survey see [6]). In particular, revivals, akin to stimulated transitions in twolevel quantum systems [7], were implemented in longperiodic gratings created in optical fibers [8,9]. Stimulated conversions of one-dimensional guided modes were demonstrated in shallow waveguides and periodic lattices [10,11]. Of special interest is the realization of stimulated transition between states having different topologies, for example between vortices with different topological charges. Resonant excitation of vortices has been studied in optical fibers wrapped in a coiled wire of a constant pitch [12], fibers with tilted gratings written by interfering UV beams [13], stressed [14] or helical fibers drawn from a preform with an off-centered core [15,16], and in chiral fiber gratings [17,18]. Resonances of light fields with nonzero orbital angular momentum have been observed recently in solid-core helically twisted photonic-crystal fibers [19,20]. However, dynamic excitation of vortex states has not been an...

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Experimental Observation of Rabi Oscillations in Photonic Lattices

Cited by 102 publications

References 18 publications

Optical mesh lattices withPTsymmetry

Optical mesh lattices withPTsymmetry

Finite-superposition solutions for surface states in a type of photonic superlattice

Dynamics of topological light states in spiraling structures

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