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Linear mixture models are commonly used to represent hyperspectral datacube as a linear combinations of endmember spectra. However, determining of the number of endmembers for images embedded in noise is a crucial task. This paper proposes…

Applications · Statistics 2016-06-29 A. Halimi , P. Honeine , M. Kharouf , C. Richard , J. -Y. Tourneret

The cubic-quintic Swift-Hohenberg equation (SH35) has been proposed as an order parameter description of several convective systems with reflection symmetry in the layer midplane, including binary fluid convection. We use numerical…

Pattern Formation and Solitons · Physics 2023-07-12 Mathi Raja , Adrian van Kan , Benjamin Foster , Edgar Knobloch

Non-Hermitian systems exhibit many peculiar dynamic behaviors which never showed up in Hermitian systems. The existence of spectral singularity (SS) for a non-Hermitian scattering center provides a lasing mechanism in the context of quantum…

Quantum Physics · Physics 2019-04-11 K. L. Zhang , P. Wang , Z. Song

We present a novel hierarchical quantum master equation (HQME) approach which provides a numerically exact description of nonequilibrium charge transport in nanosystems with electronic-vibrational coupling. In contrast to previous work…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 C. Schinabeck , R. Härtle , M. Thoss

We investigate the quasinormal mode (QNM) spectrum for scalar perturbations of static, magnetically charged black holes in the presence of a quintessence field. The background geometry is obtained from the Einstein-Power-Maxwell action with…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Ali Hasnain

The dynamics of waveguide-QED systems involving coherent time-delayed feedback give rise to a hierarchy of multi-time correlations within the Heisenberg picture due to the induced non-Markovianity. We propose to perform a projection onto a…

Quantum Physics · Physics 2022-08-24 Kisa Barkemeyer , Andreas Knorr , Alexander Carmele

We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a $2D$ elliptic partial differential equation. By combining the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jamil Assaad , Rodrigo Panosso Macedo

Analytical calculations based on a Landau Level (LL) picture are reported for a many-electron system moving in an interface (with a finite-width Quantum Well (QW)) and in the presence of an external perpendicular magnetic field. They lead…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Georgios Konstantinou , Konstantinos Moulopoulos

We explore the block nature of the matrix representation of multiplex networks, introducing a new formalism to deal with its spectral properties as a function of the inter-layer coupling parameter. This approach allows us to derive…

Physics and Society · Physics 2018-07-17 Guilherme Ferraz de Arruda , Emanuele Cozzo , Francisco A. Rodrigues , Yamir Moreno

Kernel-based nonlinear mixing models have been applied to unmix spectral information of hyperspectral images when the type of mixing occurring in the scene is too complex or unknown. Such methods, however, usually require the inversion of…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

In this paper, a Parallel Direct Eigensolver for Sequences of Hermitian Eigenvalue Problems with no tridiagonalization is proposed, denoted by \texttt{PDESHEP}, and it combines direct methods with iterative methods. \texttt{PDESHEP} first…

Numerical Analysis · Mathematics 2022-03-22 Shengguo Li , Xinzhe Wu , Jose E. Roman , Ziyang Yuan , Ruibo Wang , Lizhi Cheng

An interesting inverse optimization spectral problem, with important applications in structural health monitoring and damage detection, material design, seismic wave analysis, sonar detection, and related fields, involves reconstructing a…

Classical Analysis and ODEs · Mathematics 2026-03-23 Yuchao He , Yonghui Xia , Meirong Zhang

The studies of quantum states and optics in a {\it p}-type heterojunction with lateral surface quantum dot (antidot) superlattice and in the presence of perpendicular magnetic field are performed. For the first time the Azbel'-- Hofstadter…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. Ya. Demikhovskii , D. V. Khomitsky

We propose a quantum-assisted framework for solving constrained finite-horizon nonlinear optimal control problems using a barrier Sequential Quadratic Programming (SQP) approach. Within this framework, a quantum subroutine is incorporated…

Quantum Physics · Physics 2025-10-22 Nahid Binandeh Dehaghani , Rafal Wisniewski , A. Pedro Aguiar

We revisit a recent proposal to model nonadiabatic problems with a complex-valued Hamiltonian through a phase-space surface hopping (PSSH) algorithm employing a pseudo-diabatic basis. Here, we show that such a pseudo-diabatic PSSH (PD-PSSH)…

Quantum Physics · Physics 2023-01-25 Yanze Wu , Joseph Subotnik

A coupled system consisting of a quasilinear parabolic equation and a semilinear hyperbolic equation is considered. The problem arises as a small aspect ratio limit in the modeling of a MEMS device taking into account the gap width of the…

Analysis of PDEs · Mathematics 2024-04-25 Christoph Walker

The quad-curl problem arises in the study of the electromagnetic interior transmission problem and magnetohydrodynamics (MHD). In this paper, we study the quad-curl eigenvalue problem and propose a mixed method using edge elements for the…

Numerical Analysis · Mathematics 2013-10-25 Jiguang Sun

Hybrid systems where a quantum material strongly couples to a nonlocal cavity photon mode have emerged as a new frontier for controlling and probing quantum correlations, yet the structure and scaling of light-matter entanglement produced…

Strongly Correlated Electrons · Physics 2026-04-22 Luiz H. Santos

We introduce a non-Hermitian approximation of Bloch optical equations. This approximation provides a complete description of the excitation, relaxation and decoherence dynamics of ensembles of coupled quantum systems in weak laser fields,…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Eric Charron , Maxim Sukharev

Quasinormal modes (QNMs) are usually characterized by their time dependence; oscillations at specific frequencies predicted by black hole (BH) perturbation theory. QNMs are routinely identified in the ringdown of numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Richard Dyer , Christopher J. Moore
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