51
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Naether U, Meyer JM, Stützer S, Tünnermann A, Nolte S, Molina MI, Szameit A. Anderson localization in a periodic photonic lattice with a disordered boundary. OPTICS LETTERS 2012; 37:485-487. [PMID: 22344081 DOI: 10.1364/ol.37.000485] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We investigate experimentally the light evolution inside a two-dimensional finite periodic array of weakly coupled optical waveguides with a disordered boundary. For a completely localized initial condition away from the surface, we find that the disordered boundary induces an asymptotic localization in the bulk, centered around the initial position of the input beam.
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Affiliation(s)
- U Naether
- Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile.
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52
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Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R, Osellame R. Two-particle bosonic-fermionic quantum walk via integrated photonics. PHYSICAL REVIEW LETTERS 2012; 108:010502. [PMID: 22304249 DOI: 10.1103/physrevlett.108.010502] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/26/2011] [Indexed: 05/27/2023]
Abstract
Quantum walk represents one of the most promising resources for the simulation of physical quantum systems, and has also emerged as an alternative to the standard circuit model for quantum computing. Here we investigate how the particle statistics, either bosonic or fermionic, influences a two-particle discrete quantum walk. Such an experiment has been realized by exploiting polarization entanglement to simulate the bunching-antibunching feature of noninteracting bosons and fermions. To this scope a novel three-dimensional geometry for the waveguide circuit is introduced, which allows accurate polarization independent behavior, maintaining remarkable control on both phase and balancement.
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Affiliation(s)
- Linda Sansoni
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro, 5, I-00185 Roma, Italy
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53
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Plotnik Y, Peleg O, Dreisow F, Heinrich M, Nolte S, Szameit A, Segev M. Experimental observation of optical bound states in the continuum. PHYSICAL REVIEW LETTERS 2011; 107:183901. [PMID: 22107630 DOI: 10.1103/physrevlett.107.183901] [Citation(s) in RCA: 163] [Impact Index Per Article: 12.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/08/2010] [Indexed: 05/20/2023]
Abstract
We present the experimental observation of bound states in the continuum. Our experiments are carried out in an optical waveguide array structure, where the bound state (guided mode) is decoupled from the continuum by virtue of symmetry only. We demonstrate that breaking the symmetry of the system couples this special bound state to continuum states, leading to radiative losses. These experiments demonstrate ideas initially proposed by von Neumann and Wigner in 1929 and offer new possibilities for integrated optical elements and analogous realizations with cold atoms and optical trapping of particles.
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Affiliation(s)
- Yonatan Plotnik
- Physics Department and Solid State Institute, Technion, Haifa 32000, Israel
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54
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Dreisow F, Wang G, Heinrich M, Keil R, Tünnermann A, Nolte S, Szameit A. Observation of anharmonic Bloch oscillations. OPTICS LETTERS 2011; 36:3963-3965. [PMID: 22002353 DOI: 10.1364/ol.36.003963] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We report on the experimental observation of Bloch oscillations of an optical wave packet in a lattice with second-order coupling. To this end, we employ zigzag waveguide arrays, in which the second-order coupling can be precisely tuned.
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Affiliation(s)
- Felix Dreisow
- Institute of Applied Physics, Friedrich-Schiller-Universität Jena, Jena, Germany
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55
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Keil R, Heinrich M, Dreisow F, Pertsch T, Tünnermann A, Nolte S, Christodoulides DN, Szameit A. All-optical routing and switching for three-dimensional photonic circuitry. Sci Rep 2011; 1:94. [PMID: 22355612 PMCID: PMC3216580 DOI: 10.1038/srep00094] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/05/2011] [Accepted: 09/01/2011] [Indexed: 11/25/2022] Open
Abstract
The ability to efficiently transmit and rapidly process huge amounts of data has become almost indispensable to our daily lives. It turned out that all-optical networks provide a very promising platform to deal with this task. Within such networks opto-optical switches, where light is directed by light, are a crucial building block for an effective operation. In this article, we present an experimental analysis of the routing and switching behaviour of light in two-dimensional evanescently coupled waveguide arrays of Y- and T-junction geometries directly inscribed into fused silica using ultrashort laser pulses. These systems have the fundamental advantage of supporting three-dimensional network topologies, thereby breaking the limitations on complexity associated with planar structures while maintaining a high dirigibility of the light. Our results show how such arrays can be used to control the flow of optical signals within integrated photonic circuits.
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Affiliation(s)
- Robert Keil
- Institute of Applied Physics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.
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56
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Keil R, Perez-Leija A, Dreisow F, Heinrich M, Moya-Cessa H, Nolte S, Christodoulides DN, Szameit A. Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices. PHYSICAL REVIEW LETTERS 2011; 107:103601. [PMID: 21981502 DOI: 10.1103/physrevlett.107.103601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/09/2011] [Indexed: 05/31/2023]
Abstract
Coherent states and their generalizations, displaced Fock states, are of fundamental importance to quantum optics. Here we present a direct observation of a classical analogue for the emergence of these states from the eigenstates of the harmonic oscillator. To this end, the light propagation in a Glauber-Fock waveguide lattice serves as equivalent for the displacement of Fock states in phase space. Theoretical calculations and analogue classical experiments show that the square-root distribution of the coupling parameter in such lattices supports a new family of intriguing quantum correlations not encountered in uniform arrays. Because of the broken shift invariance of the lattice, these correlations strongly depend on the transverse position. Consequently, quantum random walks with this extra degree of freedom may be realized in Glauber-Fock lattices.
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Affiliation(s)
- Robert Keil
- Institute of Applied Physics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.
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57
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Martin L, Di Giuseppe G, Perez-Leija A, Keil R, Dreisow F, Heinrich M, Nolte S, Szameit A, Abouraddy AF, Christodoulides DN, Saleh BEA. Anderson localization in optical waveguide arrays with off-diagonal coupling disorder. OPTICS EXPRESS 2011; 19:13636-13646. [PMID: 21747520 DOI: 10.1364/oe.19.013636] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We report on the observation of Anderson wave localization in one-dimensional waveguide arrays with off-diagonal disorder. The waveguide elements are inscribed in silica glass, and a uniform random distribution of coupling parameters is achieved by a precise variation of the relative waveguide positions. In the absence of disorder we observe ballistic transport as expected from discrete diffraction in periodic arrays. When off-diagonal disorder is deliberately introduced into the array we observe Anderson localization. The strength of the localization signature increases with higher levels of disorder.
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Affiliation(s)
- Lane Martin
- CREOL, The College of Optics & Photonics, University of Central Florida, Orlando, FL 32816, USA
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58
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Szameit A, Dreisow F, Heinrich M, Nolte S, Sukhorukov AA. Realization of reflectionless potentials in photonic lattices. PHYSICAL REVIEW LETTERS 2011; 106:193903. [PMID: 21668159 DOI: 10.1103/physrevlett.106.193903] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2011] [Revised: 03/17/2011] [Indexed: 05/30/2023]
Abstract
We realize experimentally a true reflectionless potential, which facilitates nonresonant unity transmission for all incident waves and at the same time supports localized modes. We utilize arrays of evanescently coupled optical waveguides, where a particular modulation of the transverse waveguide separations provides a physical realization of reflectionless Ablowitz-Ladik soliton potentials.
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Affiliation(s)
- Alexander Szameit
- Physics Department and Solid State Institute, Technion, 32000 Haifa, Israel.
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59
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Perez-Leija A, Moya-Cessa H, Szameit A, Christodoulides DN. Glauber-Fock photonic lattices. OPTICS LETTERS 2010; 35:2409-2411. [PMID: 20634846 DOI: 10.1364/ol.35.002409] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
We show that classical analogs to quantum coherent and displaced Fock states can emerge in one-dimensional semi-infinite photonic lattices having a square root law for the coupling coefficients. Beam dynamics in these fully integrable structures is described in closed form, irrespective of the site of excitation. The trajectories of these beams are closely examined, and pertinent examples are provided for their realization.
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60
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Szameit A, Kartashov YV, Heinrich M, Dreisow F, Pertsch T, Nolte S, Tünnermann A, Lederer F, Vysloukh VA, Torner L. Observation of two-dimensional defect surface solitons. OPTICS LETTERS 2009; 34:797-799. [PMID: 19282936 DOI: 10.1364/ol.34.000797] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We report on the experimental observation of two-dimensional solitons located in defect channels at the surface of a hexagonal waveguide array. The threshold power for the excitation of solitons existing owing to total internal reflection grows with decrease of the refractive index in negative defects and vanishes for sufficiently strong positive defects. Negative defects can also support linear surface modes existing owing to Bragg-type reflections.
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Affiliation(s)
- A Szameit
- Institute of Applied Physics, Friedrich-Schiller-Universität Jena, Jena, Germany.
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61
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Mauclair C, Cheng G, Huot N, Audouard E, Rosenfeld A, Hertel IV, Stoian R. Dynamic ultrafast laser spatial tailoring for parallel micromachining of photonic devices in transparent materials. OPTICS EXPRESS 2009; 17:3531-42. [PMID: 19259192 DOI: 10.1364/oe.17.003531] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
Femtosecond laser processing of bulk transparent materials can generate localized positive changes of the refractive index. Thus, by translation of the laser spot, light-guiding structures are achievable in three dimensions. Increasing the number of laser processing spots can consequently reduce the machining effort. In this paper, we report on a procedure of dynamic ultrafast laser beam spatial tailoring for parallel photoinscription of photonic functions. Multispot operation is achieved by spatially modulating the wavefront of the beam with a time-evolutive periodical binary phase mask. The parallel longitudinal writing of multiple waveguides is demonstrated in fused silica. Using this technique, light dividers in three dimensions and wavelength-division demultiplexing (WDD) devices relying on evanescent wave coupling are demonstrated.
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Affiliation(s)
- C Mauclair
- Laboratoire Hubert Curien, UMR 5516 CNRS, Université Jean Monnet, 42000 Saint Etienne, France
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62
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Szameit A, Kartashov YV, Dreisow F, Heinrich M, Pertsch T, Nolte S, Tünnermann A, Vysloukh VA, Lederer F, Torner L. Soliton excitation in waveguide arrays with an effective intermediate dimensionality. PHYSICAL REVIEW LETTERS 2009; 102:063902. [PMID: 19257591 DOI: 10.1103/physrevlett.102.063902] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/08/2008] [Indexed: 05/27/2023]
Abstract
We reveal and observe experimentally significant modifications undertaken by discrete solitons in waveguide lattices upon the continuous transformation of the lattice structure from one-dimensional to two-dimensional. Light evolution and soliton excitation in arrays with a gradually increasing number of rows are investigated, yielding solitons with an effective reduced dimensionality residing at the edge and in the bulk of the lattice.
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Affiliation(s)
- A Szameit
- Institute of Applied Physics, Friedrich Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
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63
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Dreisow F, Szameit A, Heinrich M, Pertsch T, Nolte S, Tünnermann A. Second-order coupling in femtosecond-laser-written waveguide arrays. OPTICS LETTERS 2008; 33:2689-2691. [PMID: 19015710 DOI: 10.1364/ol.33.002689] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We investigate the influence of second-order coupling in femtosecond-laser-written zigzag waveguide arrays, where the ratio Delta between second- and first-order coupling constants is adjusted from Delta=0.0 to Delta=2.8. Propagation patterns are observed directly via color center fluorescence.
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Affiliation(s)
- Felix Dreisow
- Institute of Applied Physics, Friedrich-Schiller-University Jena, Jena, Germany.
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64
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Chen WJ, Eaton SM, Zhang H, Herman PR. Broadband directional couplers fabricated in bulk glass with high repetition rate femtosecond laser pulses. OPTICS EXPRESS 2008; 16:11470-11480. [PMID: 18648467 DOI: 10.1364/oe.16.011470] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/23/2008] [Accepted: 07/15/2008] [Indexed: 05/26/2023]
Abstract
A femtosecond fiber laser was applied to fabricate broadband directional couplers inside bulk glass for general power splitting application in the 1250 to 1650-nm wavelength telecom spectrum. The broadband response was optimized over the 400-nm bandwidth by tailoring the coupling strength and the waveguide interaction length to balance the differing wavelength dependence of the straight interaction and bent transition regions. High spatial finesse of the femtosecond-laser writing technique enabled close placement (approxiamtely 6 microm) of adjacent waveguides that underpinned the wavelength-flattened broadband response at any coupling ratio in the 0% to 100% range. The spectral responses were well-represented by coupled mode theory, permitting simple design and implementation of broadband couplers for bulk 3D optical circuit integration.
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Affiliation(s)
- Wei-Jen Chen
- Edward S Rogers Department of Electrical and Computer Engineering, Institute for Optical Sciences, University of Toronto, Toronto, ON, Canada.
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