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Showing 1 to 20 of 36 for “"anderson localization"”.
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Numerical and Laboratory Studies of Ultrasonic Anderson Localization
A numerical study of Anderson localization in two dimensions and a laboratory study of weak localization in three dimensions are presented. The two-dimensional study was performed by mathematically modelling a system of masses connected to a rigid base by springs of random stiffness. The masses …
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Anderson Localization in Low-Dimensional Systems with Long-Range Correlated Disorder
… localize in space. This phenomenon is called Anderson localization after Phillip Anderson who first predicted it in 1958. Since then, Anderson localization has remained a vibrant topic of research due to new experimental methods of probing localized states, an increase in computational power, …
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Anderson localization of thermal phonons : anomalous heat conduction in disordered superlattices
… conductivity. The source of this anomaly is the Anderson localization of thermal phonons. Anderson localization is the spatial trapping of waves due to extreme levels of elastic disorder. The hallmark of Anderson localization is an exponential decay law of conductance with increasing system size. …
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Anderson Localization in Two-Channel Wires with Correlated Disorder: DNA as an Application
This research studied the Anderson localization of electrons in two-channel wires with correlated disorder and in DNA molecules. It involved an analytical calculation part where the formula for the inverse localization length for electron states in a two-channel wire is derived. It also involved a …
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Phonon and electron transport through interfaces and disordered structures
… of waves in disordered structures can lead to Anderson localization, where the waves are spatially localized and cannot propagate. Anderson localization has been observed in electronic, photonic and acoustic systems. However, observing its impact on heat conduction is challenging due to the …
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MOMENTUM SIGNATURES OF THE ANDERSON TRANSITION
This thesis explores for possible signatures of Anderson localization and the Anderson metal-insulator transition (MIT) in momentum space. We find that an initial plane-wave propagating in a disordered medium exhibits a diffusive background and two interference peaks, the coherent backscattering …
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Characterization of wave transport in non-conservative media with random and correlated disorder
… regimes of transport - ballistic, diffusive, or Anderson localization - depending on system size. The ballistic and diffusion approximations assumes particle transport, whereas Anderson Localization occurs when wave self-interference effects are dominant. When the system contains absorption or …
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Modern electromagnetic scattering
… suitable for the study of such applications as Anderson localization and perfect lensing. Our algorithm remains numerically stable even in the presence of large absorption. Furthermore, in the context of the linear response laws and causality, we analyze a vanishing absorption approximation, …
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Transport and disorder-induced localization of ultracold Fermi gases
We experimentally study localization and dynamics of ultracold fermions in speckle and optical lattice potentials to explore Anderson localization, many-body localization, and relaxation dynamics in strongly correlated systems. Anderson localization is probed by releasing non-interacting, …
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An Atomtronic Study of Two-Dimensional Transport in Disordered Waveguides
… disorder in the potential enables the study of Anderson localization eects through the measurement of an eective channel resistance. The observed dynamics of the atomic conductance in long channels is consistent with quantum interference eects, showing signatures of two-dimensional Anderson …
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Circular Bessel field statistics and the pursuit of far-subwavelength resolution
… the underlying assumptions break down in the Anderson localization and weakly scattering regimes. Although probability density functions for wave intensity and amplitude exist beyond Gaussian statistics, suitable statistical descriptions for the field with strong and weak random scatter were …
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Ultracold fermionic atoms in disordered potentials
… gases. We use this apparatus to realize 3D Anderson localization for the first time for quantum matter waves. We provide the first measurement of how the mobility edge—a hallmark of 3-dimensionality—and of localization lengths depend on the disorder strength. In a second experimental study, …
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Localization properties of nonlinear disordered lattices
… I gives an introduction to the phenomenon of Anderson Localization, the Discrete Nonlinear Schroedinger Equation and its properties as well as the generalization of this model by introducing the nonlinear index α. In Part II, the spreading behavior of initially localized states in large, …
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Light Scattering in Ultracold High Density Rubidium Vapor
… to both condensed matter and atomic physics is Anderson localization of light. The localization phenomenon is named after P. W. Anderson who suggested the possibility of localization of electrons in a disordered medium. Localization of light is an interference effect in a disordered medium and …
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Self-assembly of lead-halide-perovskite laser particles
… I realized disordered lasing based on Anderson localization. In addition, by incorporating plasmonic materials, I demonstrated plasmonic-lasing particles as small as 580 nm. This work paves the way for highly multiplexable laser particles for biomedical applications.
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Coherent Transport of Matter Waves in Disordered Optical Potentials
… has evoked new interest for the disorder-induced localization of ultra-cold atoms. This work studies the transport properties of matter waves in disordered optical potentials, which are also known as speckle potentials. The effect of correlated disorder on localization is first studied numerically …
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Standard and Anomalous Wave Transport Inside Random Media
… inside random media using random matrix theory. Anderson localization plays a central role in wave transport in random media. As a consequence of destructive interference in multiple scattering, the wave function decays exponentially inside random systems. Anderson localization is a wave effect …
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Topics in diffuse field ultrasonics
… Appeals to Enhanced Backscatter and Dynamical Anderson Localization are needed for full agreement of theory and experiment. The third topic is Slow Dynamics, a remarkable non-classical nonlinear elastic behavior found in a wide-range of materials that possess a cracked microstructure and at …
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Quantum evolution: The case of weak localization for a 3D alloy-type Anderson model and application to Hamiltonian based quantum computation
… phenomena from a microscopic point of view. Anderson localization, named after physicist P. W. Anderson, states that disorder in a crystal can cause non-spreading of wave packets, which is one possible mechanism (at single electron level) to explain metalinsulator transitions. The theory of …
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Light localization in biological media
… being on-resonance or off-resonance with Anderson localized modes. However, such a phenomenon in optics requires high-refractive-index contrasts, which intrinsically do not exist in organic molecules (e.g. proteins, lipids, carbohydrates, and nucleic acids). Here we predict and show …
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