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We extend linear input/output (resolvent) analysis to take into account nonlinear triadic interactions by considering a finite number of harmonics in the frequency domain using the harmonic balance method. Forcing mechanisms that maximize…

流体动力学 · 物理学 2021-02-24 Georgios Rigas , Denis Sipp , Tim Colonius

We present a differentiation framework for plane-wave density-functional theory (DFT) that combines the strengths of forward-mode algorithmic differentiation (AD) and density-functional perturbation theory (DFPT). In the resulting AD-DFPT…

材料科学 · 物理学 2025-12-23 Niklas Frederik Schmitz , Bruno Ploumhans , Michael F. Herbst

We propose quantum algorithms for projective ground-state preparation and calculations of the many-body Green's functions directly in frequency domain. The algorithms are based on the linear combination of unitary (LCU) operations and…

量子物理 · 物理学 2021-12-13 Trevor Keen , Eugene Dumitrescu , Yan Wang

Frequency Estimation of a complex exponential is a problem relevant to a large number of fields. In this paper a computationally efficient and accurate frequency estimator is presented using the guaranteed stable Sliding DFT which gives…

系统与控制 · 计算机科学 2012-02-21 Anit Kumar Sahu , Mrityunjoy Chakraborty

This paper presents a distributed simulation based method for harmonic resonance assessment (HRA) in multi-area large-scale power systems. Further consideration is devoted to the early harmonic frequency-scan formulation to shape them into…

信号处理 · 电气工程与系统科学 2018-08-22 Amirreza Sahami , Shahram Montaser Kouhsari

Semilocal exchange-correlation functionals are the most accurate, realistic and widely used ones to describe the complex many-electron effects of two-dimensional quantum systems. Beyond local density approximation, the generalized gradient…

材料科学 · 物理学 2017-04-12 Subrata Jana , Prasanjit samal

The scattering and transmission of harmonic acoustic waves at a penetrable material are commonly modelled by a set of Helmholtz equations. This system of partial differential equations can be rewritten into boundary integral equations…

Density functional theory (DFT) is the de facto approach for predicting self-consistent-field electronic structures of ground-state configurations of complex atoms, molecules, and solids and providing their property data for materials…

材料科学 · 物理学 2024-01-30 Zi-Kui Liu

The task of position and velocity estimation of a moving transmitter (with either a known or unknown frequency) is a common problem arising in many different application domains. Based on the Doppler effect, this work presents a direct…

代数几何 · 数学 2023-08-11 Michela Mancini , Anton Leykin , John A. Christian

In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known…

高能物理 - 理论 · 物理学 2008-11-26 Gerald V. Dunne , Holger Gies , Christian Schubert , Qing-hai Wang

Transition amplitudes and transition probabilities are relevant to many areas of physics simulation, including the calculation of response properties and correlation functions. These quantities can also be related to solving linear systems…

量子物理 · 物理学 2023-09-18 Nicolas PD Sawaya , Joonsuk Huh

In phase space, we analytically obtain the characteristic functions (CFs) of a forced harmonic oscillator [Talkner et al., Phys. Rev. E, 75, 050102 (2007)], a time-dependent mass and frequency harmonic oscillator [Deffner and Lutz, Phys.…

统计力学 · 物理学 2019-12-25 Yixiao Qian , Fei Liu

We present a semiclassical trace formula for the canonical partition function of arbitrary one-dimensional systems. The approximation is obtained via the stationary exponent method applied to the phase-space integration of the density…

量子物理 · 物理学 2007-05-23 Fernando Parisio , M. A. M. de Aguiar

We study non-parametric frequency-domain system identification from a finite-sample perspective. We assume an open loop scenario where the excitation input is periodic and consider the Empirical Transfer Function Estimate (ETFE), where the…

系统与控制 · 电气工程与系统科学 2024-09-06 Anastasios Tsiamis , Mohamed Abdalmoaty , Roy S. Smith , John Lygeros

We theoretically analyze the spectrum of phonons of a one-dimensional quasiperiodic lattice. We simulate the quasicrystal from the classic system of spring-bound atoms with a force constant modulated by the Aubry-Andr\'e model, so that its…

无序系统与神经网络 · 物理学 2019-07-15 J. R. M. Silva , M. S. Vasconcelos , D. H. A. L. Anselmo , V. D. Mello

Spectral analysis provides one of the most effective paradigms for information-preserving dimensionality reduction, as simple descriptions of naturally occurring signals are often obtained via few terms of periodic basis functions. In this…

机器学习 · 计算机科学 2022-11-29 Michael Poli , Stefano Massaroli , Federico Berto , Jinykoo Park , Tri Dao , Christopher Ré , Stefano Ermon

The partial trace operation is usually considered in composite quantum systems, to reduce the state on a single subsystem. This operation has a key role in the decoherence effect and quantum measurements. However, partial trace operations…

量子物理 · 物理学 2024-03-18 Quentin Ansel

Given a time series vector, how can we efficiently compute a specified part of Fourier coefficients? Fast Fourier transform (FFT) is a widely used algorithm that computes the discrete Fourier transform in many machine learning applications.…

机器学习 · 计算机科学 2020-08-31 Yong-chan Park , Jun-Gi Jang , U Kang

We suggest a novel scheme for generating multimode squeezed states for the boson sampling implementation. The idea is to replace a commonly used linear interferometer by a multimode resonator containing a passive optical element consisting…

量子物理 · 物理学 2024-09-16 Sergey V. Tarasov , Vladimir V. Kocharovsky

A candidate application for quantum computers is to simulate the low-temperature properties of quantum systems. For this task, there is a well-studied quantum algorithm that performs quantum phase estimation on an initial trial state that…