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We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

Applied Physics · Physics 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

We provide a generalization of the normal mode decomposition for non-symmetric or locality constrained situations. This allows for instance to locally decouple a bipartitioned collection of arbitrarily correlated oscillators up to…

Quantum Physics · Physics 2009-11-13 Michael M. Wolf

Extracting Hamiltonian parameters from available experimental data is a challenge in quantum materials. In particular, real-space spectroscopy methods such as scanning tunneling spectroscopy allow probing electronic states with atomic…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Maryam Khosravian , Rouven Koch , Jose L. Lado

Transmission eigenchannels and associated eigenvalues, that give a full account of wave propagation in random media, have recently emerged as a major theme in theoretical and applied optics. Here we demonstrate, both analytically and…

Optics · Physics 2015-09-30 Liyi Zhao , Chushun Tian , Yury P. Bliokh , Valentin Freilikher

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

Photonic devices rarely provide both elaborate spatial control and sharp spectral control over an incoming wavefront. In optical metasurfaces, for example, the localized modes of individual meta-units govern the wavefront shape over a broad…

Optics · Physics 2022-01-27 Stephanie C. Malek , Adam C. Overvig , Andrea Alù , Nanfang Yu

Transmission eigenchannels are building blocks of coherent wave transport in diffusive media, and selective excitation of individual eigenchannels can lead to diverse transport behavior. An essential yet poorly understood property is the…

Optics · Physics 2019-08-06 Hasan Yılmaz , Chia Wei Hsu , Alexey Yamilov , Hui Cao

The spatial structure of the inhomogeneity in a disordered medium determines how waves scatter and propagate in it. We present a theoretical model of how the Fourier components of the disorder control wave scattering in a two-dimensional…

Optics · Physics 2023-10-03 Zhun-Yong Ong

We consider a model Hamiltonian describing the interaction of a single-mode radiation field with the atoms of a nonlinear medium, and study the dynamics of entanglement for specific non-entangled initial states of interest: namely, those in…

Quantum Physics · Physics 2007-07-01 C. Sudheesh , S. Lakshmibala , V. Balakrishnan

Families of regimes for discrete control systems are studied possessing a special quasi-controllability property that is similar to the Kalman controllability property. A new approach is proposed to estimate the amplitudes of transient…

Dynamical Systems · Mathematics 2009-08-31 V. Kozyakin , A. Pokrovskii

Recently, complex wavefront engineering with disordered media has demonstrated optical manipulation capabilities beyond those of conventional optics. These capabilities include extended volume, aberration-free focusing and subwavelength…

Conventional approaches for controlling open quantum systems use coherent control which affects the system's evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of…

Quantum Physics · Physics 2009-05-04 Alexander Pechen , Herschel Rabitz

The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of…

Statistical Mechanics · Physics 2011-09-14 Claudio Conti , Luca Leuzzi

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

The static and dynamic properties of many-body quantum systems are often well described by collective excitations, known as quasiparticles. Engineered quantum systems offer the opportunity to study such emergent phenomena in a precisely…

Quantum Physics · Physics 2015-09-09 P. Jurcevic , P. Hauke , C. Maier , C. Hempel , B. P. Lanyon , R. Blatt , C. F. Roos

Despite the several novel features arising from the dissipative optomechanical coupling, such effect remains vastly unexplored due to the lack of a simple formalism that captures non-Hermiticity in optomechanical systems. In this Letter, we…

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this,…

Quantum Physics · Physics 2022-11-30 Luuk Coopmans , Steve Campbell , Gabriele De Chiara , Anthony Kiely

Transient wave forms in neural networks with diffusive and nonlocal coupling have attracted particular interest because they may mediate recruitment of healthy cortical tissue into a pathological state during migraine. To investigate this…

Pattern Formation and Solitons · Physics 2007-08-01 Markus A. Dahlem , Felix M. Schneider , Anastasiya Panchuk , Gerald Hiller , Eckehard Schoell

We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that, even in the absence of any external trapping potential, a soliton can be confined due to the inhomogeneous…

Soft Condensed Matter · Physics 2009-11-11 G. Theocharis , P. Schmelcher , P. G. Kevrekidis , D. J. Frantzeskakis

Manipulating the dynamics of open quantum systems is a crucial requirement for large-scale quantum computers. Finding ways to overcome or extend decoherence times is a challenging task. Already at the level of a single two-level atom, its…

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