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We develop a method based on tensor networks to create localized single particle excitations on top of strongly-correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing…

Quantum computing provides a novel avenue towards simulating dynamical phenomena, and, in particular, scattering processes relevant for exploring the structure of matter. However, preparing and evolving particle wave packets on a quantum…

One of the most ambitious goals of quantum simulation of quantum field theory is the description of scattering in real time, which would allow not only for computation of scattering amplitudes, but also for studying the collision process…

量子物理 · 物理学 2025-09-03 Matteo Turco , Gonçalo M. Quinta , João Seixas , Yasser Omar

Quantum simulation holds promise of enabling a complete description of high-energy scattering processes rooted in gauge theories of the Standard Model. A first step in such simulations is preparation of interacting hadronic wave packets. To…

量子物理 · 物理学 2024-11-13 Zohreh Davoudi , Chung-Chun Hsieh , Saurabh V. Kadam

We describe a method for obtaining the scattering matrix for nuclear or chemical reactions on a finite lattice. Aside from the preparation of the initial and final states as wave packets, the only other operation required is unitary time…

核理论 · 物理学 2026-03-31 Evan Rule , Ionel Stetcu

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

物理教育 · 物理学 2022-07-06 M. Staelens , F. Marsiglio

Maximally localized Wannier functions (MLWFs) are widely used to construct first-principles tight-binding models that accurately reproduce the electronic structure of materials. Recently, robust and automated approaches to generate these…

计算物理 · 物理学 2023-11-02 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

We develop a quasi-classical theory of high harmonic generation in semiconductors based on an interband current that has been transformed from Bloch to Wannier basis. The Wannier quasi-classical approach reveals a complete picture of the…

介观与纳米尺度物理 · 物理学 2020-06-18 Andrew M. Parks , Guilmot Ernotte , Adam Thorpe , Chris R. McDonald , Paul B. Corkum , Marco Taucer , Thomas Brabec

Maximally-localized Wannier functions (MLWFs) are a powerful and broadly used tool to characterize the electronic structure of materials, from chemical bonding to dielectric response to topological properties. Most generally, one can…

计算物理 · 物理学 2023-11-07 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

This paper investigates the construction of space-filling designs for computer experiments. The space-filling property is characterized by the covering and separation radii of a design, which are integrated through the unified criterion of…

统计方法学 · 统计学 2026-02-18 Naoki Sakai , Takashi Goda

We present a robust algorithm that computes (maximally localized) Wannier functions (WFs) without the need of providing an initial guess. Instead, a suitable starting point is constructed automatically from so-called local orbitals which…

材料科学 · 物理学 2020-07-01 Sebastian Tillack , Andris Gulans , Claudia Draxl

The roundoff errors in computer simulations of continuous dynamical systems, caused by finiteness of machine arithmetic, can lead to qualitative discrepancies between phase portraits of the resulting spatially discretized systems and the…

概率论 · 数学 2015-01-20 Igor G. Vladimirov

A robust, user-friendly, and automated method to determine quantum conductance in disordered quasi-one-dimensional systems is presented. The scheme relies upon an initial density- functional theory calculation in a specific geometry after…

计算物理 · 物理学 2015-03-17 Matthew Shelley , Nicolas Poilvert , Arash A Mostofi , Nicola Marzari

In numerical approaches to solving differential equations on a lattice, a representation of the derivative operator that correctly matches the continuum behaviour of functions of momentum up to the band limit must be non-local. We present…

We present a semi-automated method for obtaining an initial estimate of Wannier functions, designed to facilitate the construction of Wannier functions for describing low-energy effective models of solids, particularly those relevant to…

强关联电子 · 物理学 2025-12-24 Tatsuki Oikawa , Kota Ido , Takahiro Misawa , Takashi Koretsune , Kazuyoshi Yoshimi

Maximally-localized Wannier functions are quantum wavefunctions resembling atomic orbitals that are used to describe electrons in condensed matter. Since their introduction in 1997, these functions have become ubiquitous in ab initio…

计算物理 · 物理学 2026-04-09 Sabyasachi Tiwari , Bruno Cucco , Viet-Anh Ha , Feliciano Giustino

Quantum computers are ideally set up to solve linear systems which are of a form similar to the Schrodinger/Dirac equation of quantum mechanics. In the framework of linear response theory, the propagation and scattering of electromagnetic…

等离子体物理 · 物理学 2026-04-24 Min Soe , Abhay K. Ram , Efstratios Koukoutsis , George Vahala , Linda Vahala , Kyriakos Hizanidis

We introduce a new type of Wannier functions (WFs) obtained by minimizing the conventional spread functional with a penalty term proportional to the variance of the spread distribution. This modified Wannierisation scheme is less prone to…

其他凝聚态物理 · 物理学 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

Studying high-energy collisions of composite particles, such as hadrons and nuclei, is an outstanding goal for quantum simulators. However, preparation of hadronic wave packets has posed a significant challenge, due to the complexity of…

We have developed a linear scaling algorithm for calculating maximally-localized Wannier functions (MLWFs) using atomic orbital basis. An O(N) ground state calculation is carried out to get the density matrix (DM). Through a projection of…

材料科学 · 物理学 2007-05-23 H. J. Xiang , Zhenyu Li , W. Z. Liang , Jinlong Yang , J. G. Hou , Qingshi Zhu
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