Quasi-incoherent propagation in waveguide arrays

Szameit, Alexander; Dreisow, Felix; Hartung, Holger; Nolte, Stefan; Tünnermann, Andreas; Lederer, F.

doi:10.1063/1.2735953

Cited by 98 publications

(70 citation statements)

References 18 publications

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“…An image of the propagating light beam is shown in Fig. 4a, obtained using a fluorescence microscopy technique 28 (see Methods section). For small propagation distances, the typical ballistic diffraction pattern is observed, whereas for larger propagation distances the modulation of the pattern washes out and the spreading slows down.…”

Section: Resultsmentioning

confidence: 99%

“…For the direct monitoring of the light propagation in our samples (see Fig. 4a), we used a fluorescence microscopy technique 28 . A massive formation of non-bridging oxygen hole colour centres occurs during the writing process, when fused silica with a high content of hydroxide is used, resulting in a homogeneous distribution of these colour centers along the waveguides.…”

Section: Methodsmentioning

confidence: 99%

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Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

et al. 2013

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Within all physical disciplines, it is accepted that wave transport is predetermined by the existence of disorder. In this vein, it is known that ballistic transport is possible only when a structure is ordered, and that disorder is crucial for diffusion or (Anderson-)localization to occur. As this commonly accepted picture is based on the very foundations of quantum mechanics where Hermiticity of the Hamiltonian is naturally assumed, the question arises whether these concepts of transport hold true within the more general context of nonHermitian systems. Here we demonstrate theoretically and experimentally that in ordered time-independent PT -symmetric systems, which are symmetric under space-time reflection, wave transport can undergo a sudden change from ballistic to diffusive after a specific point in time. This transition as well as the diffusive transport in general is impossible in Hermitian systems in the absence of disorder. In contrast, we find that this transition depends only on the degree of dissipation.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

et al. 2013

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“…3a), we employed waveguide fluorescence microscopy 18 to directly observe the propagation of light through the structures. At a probe wavelength of 633 nm (Helium:Neon laser), this technique makes use of certain colour centres formed during the inscription process to linearly convert a small fraction of the guided light into isotropic fluorescence.…”

Section: Methodsmentioning

confidence: 99%

“…From an experimental perspective, the physical platform presented here has a unique advantage over other realizations. The evolution dynamics in such lattices can be observed by means of waveguide fluorescence microscopy 18 , hence allowing one to directly evaluate their response. In principle, however, our results are general and other fabrication approaches could likewise be pursued.…”

Section: Supersymmetric Optical Structuresmentioning

confidence: 99%

Supersymmetric mode converters

et al. 2014

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Originally developed in the context of quantum field theory, the concept of supersymmetry can be used to systematically design a new class of optical structures. In this work, we demonstrate how key features arising from optical supersymmetry can be exploited to control the flow of light for mode-division multiplexing applications. Superpartner configurations are experimentally realized in coupled optical networks, and the corresponding light dynamics in such systems are directly observed. We show that supersymmetry can be judiciously used to remove the fundamental mode of a multimode optical structure while establishing global phase-matching conditions for the remaining set of modes. Along these lines, supersymmetry may serve as a promising platform for versatile optical components with desirable properties and functionalities.

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“…The separation between the waveguides in the homogeneous part is d h 14.6 μm, which corresponds to C 0.160 mm −1 . In order to observe the evolution of the intensity distribution along the z axis, we use fluorescence microscopy [19]. Figure 3(a) shows a transfer structure with 11 sites.…”

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confidence: 99%

Photonic coherent state transfer with Hamiltonian dynamics

et al. 2013

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We report the observation of near-perfect light wave transfer by emulating quantum state transfer on a lattice with Hamiltonian dynamics, i.e., time-dependent intersite couplings. The structure transferring a single waveguide excitation over 11 sites with a fidelity of 0.93 works for classical light as well as single photons. As our implementation of perfect quantum state transfer uses a photonic setting, we introduce polarization as a new degree of freedom to the transport protocol. We demonstrate rotation operations of up to 40°on polarization during state transfer. . A feasible route for overcoming this problem is to divide the large qubit register into smaller units, which interact via so-called "quantum wires." The basic task of the quantum wire is, thus, to coherently transfer a quantum state between the interfaces of two separated subregisters. A possible implementation of this challenging task is the utilization of nearest-neighbor interactions in a discrete lattice, such as chains of spin-1∕2 particles [3,4] or waveguide lattices [5,6]. In all state transfer schemes, an initial excitation of a boundary site is transported automatically to the opposite side of the chain due to the intersite coupling [7]. However, in systems with time-independent Hamiltonians (i.e., static coupling), the transfer is accomplished perfectly for one specific moment (transfer time) only. After this moment, the excitation will again spread out over the entire chain. As a consequence, all timeindependent transfer schemes are subject to the limitations that result from precise timing of the extraction of the transferred state in addition to the precise specification of the coupling strengths-the quality of the transfer in these schemes is sensitive to (random and systematic) errors of the fixed intersite coupling [5,6,8].A solution to this problem is provided by models involving an explicit time dependence of the Hamiltonian, meaning the coupling between the chain sites is changed dynamically. The marginal couplings can be controlled to trap the excitation at the receiver site after perfect state transfer (PST) is accomplished. It has been shown that this can be achieved even if all couplings other than the marginals are constant [9]. There is one particular among these schemes, which turns out to be also robust to imperfections of the couplings [10]. To date, this model is the only time-dependent model that has been formulated analytically for arbitrary lengths N of the chain [10]. Nevertheless, precise temporal control of individual sites is challenging to realize in a spin setting and, hence, experimental demonstration of such a system is still missing.In our work, we demonstrate the implementation of a time-dependent coherent state transfer scheme using optical waveguides. Our system can be used for the highfidelity transfer of classical as well as quantum light along a chain of waveguides on a chip. Moreover, making use of the degrees of freedom inherent to the optical setting, we elucidate the versatility of the transfer s...

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Quasi-incoherent propagation in waveguide arrays

Cited by 98 publications

References 18 publications

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

Supersymmetric mode converters

Photonic coherent state transfer with Hamiltonian dynamics

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