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Nonlinear metasurfaces based on coupling a locally enhanced plasmonic response to intersubband transitions of n-doped multi-quantum-wells (MQWs) have recently provided second-order susceptibilities orders of magnitude larger than any other…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 J. S. Gomez-Diaz , M. Tymchenko , J. Lee , M. A. Belkin , Andrea Alù

We propose an exactly solvable model to reveal the physics of the interplay between interaction and disorder in bosonic systems. Considering interacting bosons in a double-well potential, in which disorder is mimicked by taking the energy…

Quantum Gases · Physics 2015-05-18 Qi Zhou , S. Das Sarma

The reflection spectrum of a multiple quantum well structure with an inserted defect well is considered. The defect is characterized by the exciton frequency different from that of the host's wells. It is shown that for relatively short…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. I. Deych , M. V. Erementchouk , A. A. Lisyansky

The spectrum of a double well constructed of a square barrier embedded in an infinite well is analyzed. Level statistics for levels slightly above the barrier show signs of Wigner statistics usually associated with quantum chaos. The…

Condensed Matter · Physics 2015-06-25 R. Berkovits , Y. Ashkenazy , L. P. Horwitz , J. Levitan

We consider the stationary solutions for a class of Schrodinger equations with a N-well potential and a nonlinear perturbation. By means of semiclassical techniques we prove that the dominant term of the ground state solutions is described…

Quantum Physics · Physics 2015-05-30 Andrea Sacchetti

We consider a semiconductor quantum-well placed in a wave guide microcavity and interacting with the broadband squeezed vacuum radiation, which fills one mode of the wave guide with a large average occupation. The wave guide modifies the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eran Ginossar , Shimon Levit

The recently invented cylindrical geometric space defect is applied to the electron behaviour in the system which can be regarded as a simplified model of a double-wall nanotube. By solving the Schrodinger equation in the region of space…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 G. de Berredo-Peixoto , M. O. Katanaev , E. Konstantinova , I. L. Shapiro

In this paper, we present a method for reducing the three dimensional Schrodinger equation to study confined metallic states, such as quantum well states, in a multilayer film geometry. While discussing some approximations that are employed…

Condensed Matter · Physics 2009-11-10 C. Abbott , M. Rasamny , G. W. Fernando

We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the Schr\"odinger dynamics is reduced to the study of a system…

Mathematical Physics · Physics 2016-10-04 Raffaele Carlone , Rodolfo Figari , Claudia Negulescu

We study the quantum dynamics of a two-mode Bose-Einstein condensate in a time-dependent symmetric double-well potential using analytical and numerical methods. The effects of internal degrees of freedom on the visibility of interference…

Quantum Physics · Physics 2009-11-10 M. Jääskeläinen , W. Zhang , P. Meystre

The effect of an atomically sharp impenetrable interface on the spin splitting of the spectrum of two-dimensional electrons in heterostructures based on (001) III-V compounds has been analyzed. To this end, the single band Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Zh. A. Devizorova , V. A. Volkov

We consider Schr\"odinger operators in $L^2(\mathrm{R}^\nu),\, \nu=2,3$, with the interaction in the form on an array of potential wells, each on them having rotational symmetry, arranged along a curve $\Gamma$. We prove that if $\Gamma$ is…

Spectral Theory · Mathematics 2023-09-26 Pavel Exner

The Schr\"{o}dinger equation is solved for the case of a particle confined to a small region of a box with infinite walls. If walls of the well are moved, then, due to an effective quantum nonlocal interaction with the boundary, even though…

Quantum Physics · Physics 2012-08-27 S. V. Mousavi

Special relativity combined with the stochastic vacuum flux impact model lead to an explicit interpretation of many of the phenomena of elementary quantum mechanics. We examine characteristics of a repetitively impacted submicroscopic…

General Physics · Physics 2007-05-23 C. L. Herzenberg

The linewidths and the energy shifts of the resonant states of the impurity electron in GaAs-based quantum wells (QWs) with infinite barriers are calculated. The two-dimensional Schr\"{o}dinger equation for the charge impurity in the QW is…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Pavel Belov

Two rectangular models described by the one-dimensional Schroedinger equation with sharply localized potentials are suggested. The potentials have a multi-layer thin structure being composed from adjacent barriers and wells. Their peculiar…

Quantum Physics · Physics 2015-06-15 A. V. Zolotaryuk

Wave self-focusing in molecular systems subject to thermal effects, such as thin molecular films and long biomolecules, can be modeled by stochastic versions of the Discrete Self-Trapping equation of Eilbeck, Lomdahl and Scott, and this can…

Pattern Formation and Solitons · Physics 2009-11-11 Brenton LeMesurier , Barron Whitehead

We present a new dimensional scaling transformation of the Schrodinger equation for the two electron bond. This yields, for the first time, a good description of the two electron bond via D-scaling. There also emerges, in the large-D limit,…

Chemical Physics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully , Dudley R. Herschbach

A scattering mechanism stemming from the Stark-shift of energy levels by electric fields in semiconductor quantum wells is identified. This scattering mechanism feeds off interface roughness and electric fields, and modifies the well known…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Raj K. Jana , Debdeep Jena

The interaction blockade phenomenon isolates the motion of a single quantum particle within a multi-particle system, in particular for coherent oscillations in and out of a region affected by the blockade mechanism. For identical quantum…

Quantum Gases · Physics 2017-07-18 Jayson G. Cosme , Mikkel F. Andersen , Joachim Brand