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Among optimal hierarchical algorithms for the computational solution of elliptic problems, the Fast Multipole Method (FMM) stands out for its adaptability to emerging architectures, having high arithmetic intensity, tunable accuracy, and…

Numerical Analysis · Computer Science 2016-01-20 Huda Ibeid , Rio Yokota , Jennifer Pestana , David Keyes

We consider the approximation of $B^T (A+sI)^{-1} B$ for large s.p.d. $A\in\mathbb{R}^{n\times n}$ with dense spectrum and $B\in\mathbb{R}^{n\times p}$, $p\ll n$. We target the computations of Multiple-Input Multiple-Output (MIMO) transfer…

Numerical Analysis · Mathematics 2025-04-18 Vladimir Druskin , Jörn Zimmerling

Quantum information is often carried in the frequency and polarization degrees of freedom (DoFs) in single photons and entangled photons. We demonstrate a new approach to couple and decouple the frequency and polarization DoFs of broadband…

Quantum Physics · Physics 2023-11-27 Arash Riazi , Eric Y. Zhu , Dan Xu , Li Qian

The fast Fourier transform (FFT) based matrix-free ansatz interpolatory approximations of periodic functions are fundamental for efficient realization in several applications.In this work we design, analyze, and implement similar…

Numerical Analysis · Mathematics 2016-01-27 V. Dominguez , M. Ganesh

Quantum emitters operating at telecom wavelengths are essential for the advancement of quantum technologies, particularly in the development of integrated on-chip devices for quantum computing, communication, and sensing. Coupling resonant…

High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann series formulation to handle multiple-scattering effects. This…

Numerical Analysis · Mathematics 2018-01-16 Yassine Boubendir , Fatih Ecevit , Fernando Reitich

The scalable integration of solid-state quantum emitters into photonic nanostructures remains a central challenge for quantum photonic technologies. Here, we demonstrate a robust and streamlined integration strategy that tackles the…

In the Euclidean-space formulation of integral equations for the structure of quantum chromodynamics (QCD) bound states, the quark propagators with complex-valued momentum are densely sampled. We therefore propose an accurate and efficient…

Nuclear Theory · Physics 2024-01-23 Shaoyang Jia , Ian Cloët

The possibility for controlling the probe-field optical gain and absorption switching and photon conversion by a surface-plasmon-polariton near field is explored for a quantum dot above the surface of a metal. In contrast to the linear…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Danhong Huang , Michelle Easter , Godfrey Gumbs , A. A. Maradudin , Shawn-Yu Lin , Dave Cardimona , Xiang Zhang

We investigate the emission directionality of electronic intraband (intersubband) transitions in stacked coupled quantum dots. Using a well-established eight-band $k \cdot p$ method, we demonstrate that the minor contributions from the…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Alexander Mittelstädt , Ludwig A. Th. Greif , Andrei Schliwa

Density-functional perturbation theory (DFPT) is nowadays the method of choice for the accurate computation of linear and non-linear response properties of materials from first principles. A notable advantage of DFPT over alternative…

Materials Science · Physics 2019-06-19 Miquel Royo , Massimiliano Stengel

The relativistic kinetic equations describing time evolution and space dependence of the density matrices of polarized photons and electrons interacting via Compton scattering are deduced from the quantum Liouville equation. The induced…

Astrophysics · Physics 2009-11-07 Dmitrij I. Nagirner , Juri Poutanen

Modeling spectral line profiles taking frequency redistribution effects into account is a notoriously challenging problem from the computational point of view, especially when polarization phenomena (atomic polarization and polarized…

Solar and Stellar Astrophysics · Physics 2021-01-04 A. Paganini , B. Hashemi , E. Alsina Ballester , L. Belluzzi

Cascaded emission from the biexciton state of a quantum dot results in polarization entangled photon pairs. However, modelling this system becomes challenging when photon emission is cavity-mediated due to the large Hilbert space and…

Quantum Physics · Physics 2026-03-24 Katy Snow , Mauro Paternostro

Time-resolved Faraday rotation has recently demonstrated coherent transfer of electron spin between quantum dots coupled by conjugated molecules. Using a transfer Hamiltonian ansatz for the coupled quantum dots, we calculate the Faraday…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Florian Meier , Veronica Cerletti , Oliver Gywat , Daniel Loss , D. D. Awschalom

We show that non-classical intensity correlations and quadrature entanglement can be generated by frequency doubling in a resonator with two output ports. We predict twin-beam intensity correlations 6 dB below the coherent state limit, and…

Quantum Physics · Physics 2012-02-01 Oo-Kaw Lim , Mark Saffman

Omnidirectional light propagation in two-dimensional (2D) photonic crystals (PCs) has been investigated by extending the formerly developed 2D finite element analysis (FEA) of in-plane light propagation in which the corresponding band…

Computational Physics · Physics 2018-11-28 Ruei-Fu Jao , Ming-Chieh Lin

We study effects of electron-electron interactions and confinement potential on the magneto-optical absorption spectrum in the far-infrared range of lateral quantum dot molecules. We calculate far-infrared (FIR) spectra for three different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Helle , A. Harju , R. M. Nieminen

Exciton-polariton propagation in a quantum well, under centre-of-mass quantization, is computed by a variational self-consistent microscopic theory. The Wannier exciton envelope functions basis set is given by the simple analytical model of…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 D. Schiumarini , N. Tomassini , L. Pilozzi , A. D'Andrea

We investigate an optically driven quantum computer based on electric dipole transitions within coupled single-electron quantum dots. Our quantum register consists of a freestanding n-type pillar containing a series of pair wise coupled…

Condensed Matter · Physics 2009-10-31 G. D. Sanders , K. W. Kim , W. C. Holton
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