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A concrete formulation of the Lehmann-Maehly-Goerisch method for semi-definite self-adjoint operators with compact resolvent is considered. Precise rates of convergence are determined in terms of how well the trial spaces capture the…

Spectral Theory · Mathematics 2014-08-12 L. Boulton , A. Hobiny

We study theoretically the magnetic field effect on a neutral, but polarizable exciton confined in quantum-ring structures. For excitons with a nonzero dipole moment, a novel magnetic interference effect occurs: The ground state of an…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. O. Govorov , A. V. Kalameitsev , R. Warburton , K. Karrai , S. E. Ulloa

Entanglement of the excitonic states in the system of two coupled semiconductor microcrystallites, whose sizes are much larger than the Bohr radius of exciton in bulk semiconductor but smaller than the relevant optical wavelength, is…

Quantum Physics · Physics 2009-08-03 Yu-xi Liu , Sahin K. Ozdemir , Adam Miranowicz , Masato Koashi , Nobuyuki Imoto

A computationally efficient, self-consistent complex scaling approach to calculating characteristics of excitons in an external electric field in quantum wells is introduced. The method allows one to extract the resonance position as well…

Strongly Correlated Electrons · Physics 2009-01-09 I. V. Ponomarev , L. I. Deych , A. A. Lisyansky

The self consistent effective medium approximation (SEMA) is used to study three-dimensional random conducting composites under the influence of a strong magnetic field {\bf B}, in the case where all constituents exhibit isotropic response.…

Materials Science · Physics 2009-10-31 David J. Bergman , David G. Stroud

The excitonic absorption spectrum for a disordered quantum well in presence of exciton-acoustic phonon interaction is treated beyond the Markov approximation. Realistic disorder exciton states are taken from a microscopic simulation, and…

Materials Science · Physics 2007-05-23 G. Mannarini , R. Zimmermann

We consider terahertz absorption and gain in a single miniband of semiconductor superlattice subject to a bichromatic electric field in the most general case of commensurate frequencies of the probe and pump fields. Using an exact solution…

Mesoscale and Nanoscale Physics · Physics 2009-10-04 Alexey V. Shorokhov , Kirill N. Alekseev

We show that the absorption spectrum in semiconducting nanotubes can be determined using the bosonization technique combined with mean-field theory and a harmonic approximation. Our results indicate that a multiple band semiconducting…

Mesoscale and Nanoscale Physics · Physics 2014-03-13 M. C. Sweeney , J. D. Eaves

The optical absorption of a single spherical semiconductor quantum dot in an electrical field is studied taking into account the nonlocal coupling between the field of the light and the polarizability of the semiconductor. These nonlocal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Thiele , Ch. Fuchs , R. v. Baltz

We study, in the multipolar coupling scheme, a uniformly accelerated multilevel hydrogen atom in interaction with the quantum electromagnetic field near a conducting boundary and separately calculate the contributions of the vacuum…

Quantum Physics · Physics 2009-11-13 Hongwei Yu , Zhiying Zhu

The author presents a method for calculating the magnetic fields near a planar surface of a superconductor with a given intrinsic magnetization in the London limit. He computes solutions for various magnetic domain boundary configurations…

Superconductivity · Physics 2009-07-06 Hendrik Bluhm

Two of the most striking experimental findings when investigating exciton spectra in cuprous oxide using high-resolution spectroscopy are the observability and the fine structure splitting of $F$ excitons reported by J. Thewes et al. [Phys.…

Photo-absorption in fully ionized plasmas in high magnetic fields is re-examined, using the methods of many-body quantum field theory. For frequencies in the immediate vicinity of the electron cyclotron resonance the rates we obtain…

Astrophysics · Physics 2010-04-07 R. F. Sawyer

The magnetic Dirichlet-to-Neumann map encodes the voltage-to-current measurements under the influence of a magnetic field. In the case of surfaces, we provide precise spectral asymptotics expansion (up to arbitrary polynomial power) for the…

Analysis of PDEs · Mathematics 2025-08-15 Mihajlo Cekić , Anna Siffert

We examine the problem of approximating a positive, semidefinite matrix $\Sigma$ by a dyad $xx^T$, with a penalty on the cardinality of the vector $x$. This problem arises in sparse principal component analysis, where a decomposition of…

Optimization and Control · Mathematics 2007-06-13 Laurent El Ghaoui

Presence of bound pairs (excitons) in a low-temperature electron-hole plasma is accounted for by including correlation between fermions at the ladder level. Using a simplified one-dimensional model with on-site Coulomb interaction, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Piermarocchi , F. Tassone

Adjoint methods can speed up stellarator optimisation by providing gradient information more efficiently compared to finite-difference evaluations. Adjoint methods are herein applied to vacuum magnetic fields, with objective functions…

Plasma Physics · Physics 2022-02-16 Richard Nies , Elizabeth J. Paul , Stuart R. Hudson , Amitava Bhattacharjee

A theoretical description of local absorption is proposed in order to investigate spectral variations on a length scale comparable with the extension of the relevant quantum states. A general formulation is derived within the density-matrix…

Materials Science · Physics 2009-10-31 O. Mauritz , G. Goldoni , F. Rossi , E. Molinari

Recently, we have derived the changes in the absorption spectrum of an exciton when this exciton is photocreated close to a metal. The resolution of this problem -- which has similarities with Fermi edge singularities -- has been made…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Combescot , O. Betbeder-Matibet

A theoretical interpretation of the photoluminescence excitation spectra of self-organized polar GaN/(Al,Ga)N quantum dots is proposed. A numerical method assuming a realistic shape of the dots and including the built-in electric field…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 D. Elmaghraoui , M. Triki , S. Jaziri M. Leroux , J. Brault