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We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening…

Disordered Systems and Neural Networks · Physics 2011-03-08 Marie Piraud , Pierre Lugan , Philippe Bouyer , Alain Aspect , Laurent Sanchez-Palencia

If disorder-induced Anderson localized states have been observed experimentally in optics, their study remains challenging leaving a number of open questions unsolved. Among them, the impact on Anderson localization of non-Hermiticity,…

Optics · Physics 2022-01-25 Bhupesh Kumar , Patrick Sebbah

Taking into account that a proper description of disordered systems should focus on distribution functions, the authors develop a powerful numerical scheme for the determination of the probability distribution of the local density of states…

Disordered Systems and Neural Networks · Physics 2013-06-20 Gerald Schubert , Alexander Weisse , Gerhard Wellein , Holger Fehske

We frame the transverse Anderson localization of light in a one-dimensional disordered optical lattice in the language of localized propagating eigenmodes. The modal analysis allows us to explore localization behavior of a disordered…

Optics · Physics 2015-06-05 Salman Karbasi , Karl W. Koch , Arash Mafi

When light waves propagate through disordered photonic lattices, they can eventually become localized due to multiple scattering effects. Here we show experimentally that while the evolution and localization of the photon density…

Disordered Systems and Neural Networks · Physics 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

We present experimental and numerical studies of broad-area semiconductor lasers with chaotic ray dynamics. The emission intensity distributions at the cavity boundaries are measured and compared to ray tracing simulations and numerical…

Optics · Physics 2020-08-06 Stefan Bittner , Kyungduk Kim , Yongquan Zeng , Qi Jie Wang , Hui Cao

In this thesis, we explore random lasing from a system comprising of amplifying microresonators. Using Monte-Carlo simulation, we investigate the diffusive propagation of light in an amplifying medium with randomly suspended resonant…

Optics · Physics 2018-08-14 Anjani Kumar Tiwari

Localization of wavefunctions is arguably the most familiar effect of disorder in quantum systems. It has been recently argued [[V. Khemani, R. Nandkishore, and S. L. Sondhi, Nature Physics, 11, 560 (2015)] that, contrary to naive…

Disordered Systems and Neural Networks · Physics 2020-04-15 Z. Ovadyahu

We present a fully three-dimensional Bloch mode expansion technique and photon Green function formalism to compute the quality factor, mode volume, and Purcell enhancement distributions of a disordered W1 photonic crystal slab waveguide in…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 J. P. Vasco , S. Hughes

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the…

Disordered Systems and Neural Networks · Physics 2008-04-28 S. E. Skipetrov , A. Minguzzi , B. A. van Tiggelen , B. Shapiro

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in…

Chaotic Dynamics · Physics 2015-10-06 Sergej Flach

We study Anderson localization and propagation of partially-spatially incoherent wavepackets in linear disordered potentials, motivated by the insight that interference phenomena resulting from multiple scattering are affected by the…

Optics · Physics 2015-05-27 D. Čapeta , J. Radić , A. Szameit , M. Segev , H. Buljan

Anderson localization of light is a fundamental emergent phenomenon in disordered systems. In arrays of coupled waveguides, it suppresses transport and causes photons to remain localized near the excitation site as coupling disorder…

Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

Disorder-induced Anderson localization in quasiparticle transport is a challenging problem to address, even more so in the presence of dissipation as the symptoms of disorder-induced localization are very closely simulated by the absorption…

Optics · Physics 2018-11-21 M. Balasubrahmaniyam , Ajay Nahata , Sushil Mujumdar

We study localization properties of the eigenstates and wave transport in one-dimensional system consisting of a set of barriers/wells of fixed thickness and random heights. The inherent peculiarity of the system resulting in the enhanced…

Disordered Systems and Neural Networks · Physics 2015-06-16 I. F. Herrera-Gonzalez , F. M. Izrailev , N. M. Makarov

Using a random array of coupled metallic nanowires as a generic example of disordered plasmonic systems, we demonstrate that the structural disorder induces localization of light in these nanostructures at a deep-subwavelength scale. The ab…

Anderson localization has been observed in various types of waves, such as matter waves, optical waves and acoustic waves. Here we reveal that the effect of Anderson localization can be also induced in metallic nonlinear nanoparticle arrays…

Optics · Physics 2016-07-29 Zhijie Mai , Fang Lin , Wei Pang , Haitao Xu , Suiyan Tan , Shenhe Fu , Yongyao Li

We discuss a model of random segmented wire, with linear segments of 2D wires joined by circular bends. The joining vertices act as scatterers on the propagating electron waves. The model leads to resonant Anderson localization when all…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Cristian Estarellas , Llorenç Serra

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

Optics · Physics 2012-08-23 D. Molinari , A. Fratalocchi