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Superconducting quantum circuits are promising candidate for building scalable quantum computers. Here, we use a four-qubit superconducting quantum processor to solve a two-dimensional system of linear equations based on a quantum algorithm…

We consider bifurcation of solutions from a given trivial branch for a class of strongly indefinite elliptic systems via the spectral flow. Our main results establish bifurcation invariants that can be obtained from the coefficients of the…

偏微分方程分析 · 数学 2015-12-15 Nils Waterstraat

Epitaxial semiconductor quantum dots have been, in the last 40 years or so, at the center of the research effort of a large community. The focus being on semiconductor physics and devices, in view of the broad applications and potential,…

介观与纳米尺度物理 · 物理学 2023-10-11 Emanuele Pelucchi

Quantum linear system algorithms (QLSAs) can provide exponential speedups for the solution of linear systems, but the growth of the condition number for finite element problems can eliminate the exponential speedup. QLSAs are also incapable…

量子物理 · 物理学 2024-04-12 Osama Muhammad Raisuddin , Suvranu De

Electrodynamical processes induced in complex systems like semiconductors by strong electromagnetic fields, have traditionally/conventionally been described using semi-classical approaches. Although these approaches, allowed the…

We report the unequivocal demonstration of mid-infrared mode-locked pulses from a semiconductor laser. The train of short pulses was generated by actively modulating the current and hence the optical gain in a small section of an…

A recently proposed device, dubbed half-Josephson laser, provides a phase-lock between the optical phase and the superconducting phase difference between the leads of the device. In this paper we propose to utilize this phase-lock for…

介观与纳米尺度物理 · 物理学 2013-08-26 F. Godschalk , Yu. V. Nazarov

In this paper, we introduce semi-infinite tensor complementarity problem to provide an approach for considering a more realistic situation of the problem. We prove the necessary and sufficient conditions for the existence of the solution…

最优化与控制 · 数学 2024-01-02 R. Deb , A. K. Das

For a class of semi-linear elliptic equations with critical Sobolev exponents and boundary conditions, we prove point-wise estimates for blowup solutions and energy estimates. A special case of this class of equations is a locally defined…

偏微分方程分析 · 数学 2013-11-05 Ying Guo , Lei Zhang

Semiconductor Bloch equations, which microscopically describe the dynamics of a Coulomb interacting, spin-unpolarized electron-hole plasma, can be solved in two limits: the coherent and the quasi-equilibrium regime. These equations have…

材料科学 · 物理学 2009-11-13 Arjun Joshua , V. Venkataraman

The numerical solution of a linear Schr\"odinger equation in the semiclassical regime is very well understood in a torus $\mathbb{T}^d$. A raft of modern computational methods are precise and affordable, while conserving energy and…

数值分析 · 数学 2022-01-17 Arieh Iserles , Karolina Kropielnicka , Katharina Schratz , Marcus Webb

The intriguing appeal of circuits lies in their modularity and ease of fabrication. Based on a toolbox of simple building blocks, circuits present a powerful framework for achieving new functionality by combining circuit elements into…

超导电性 · 物理学 2013-02-01 David G. Ferguson , A. A. Houck , Jens Koch

We develop a novel method for strong-laser-field physics based on the combination of the semiclassical Herman-Kluk propagator and the strong-field approximation and demonstrate its high accuracy on the calculations of photoelectron momentum…

原子物理 · 物理学 2024-08-26 Phi-Hung Tran , Van-Hung Hoang , Anh-Thu Le

Self-consistent computations of the potential profile in complex semiconductor heterostructures can be successfully applied for comprehensive simulation of the gain and the absorption spectra, for the analysis of the capture, escape,…

其他凝聚态物理 · 物理学 2009-11-10 Ivan Safonov , Aleksey Shulika , Igor Sukhoivanov , Volodimir Lysak

We present and analyse a three-dimensional model for a quantum dot semiconductor laser with optical injection. This model describes recent experimental single and double excitable intensity pulses, which are related to a central saddle-node…

混沌动力学 · 物理学 2009-11-13 Sergey Melnik , Oleg Rasskazov , Guillaume Huyet

We provide a method to select flows of solutions to the Cauchy problem for linear and nonlinear Fokker--Planck--Kolmogorov equations (FPK equations) for measures on Euclidean space. In the linear case, our method improves similar results of…

概率论 · 数学 2023-02-03 Marco Rehmeier

In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme…

软凝聚态物质 · 物理学 2009-11-10 V. Sofonea , A. Lamura , G. Gonnella , A. Cristea

The recent technological advancements have greatly improved the quality and resolution of displays. Yet, issues like full color gamut representation and long lasting durability of the color emitters require further progression. Colloidal…

介观与纳米尺度物理 · 物理学 2020-12-25 Yossef E. Panfil , Meirav Oded , Nir Waiskopf , Uri Banin

Coherent states of the quantum electromagnetic field, the quantum description of ideal laser light, are prime candidates as information carriers for optical communications. A large body of literature exists on their quantum-limited…

量子物理 · 物理学 2023-06-07 Jasminder S. Sidhu , Michael S. Bullock , Saikat Guha , Cosmo Lupo

The properties of relativistic particles in the quasiclassical region are investigated. The relativistic semiclassical wave equation appropriate in the quasiclassical region is derived. It is shown that the leading-order WKB quantization…

量子物理 · 物理学 2016-02-17 M. N. Sergeenko