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Hybrid classical-quantum models are computational schemes that investigate the time evolution of systems, where some degrees of freedom are treated classically, while others are described quantum-mechanically. First, we present the…

Quantum Physics · Physics 2024-02-19 Daniel R. Terno

In this review article, we first briefly introduce the transport theory and quantum molecular dynamics model applied in the study of the heavy ion collisions from low to intermediate energies. The developments of improved quantum molecular…

Nuclear Theory · Physics 2020-05-27 Yingxun Zhang , Ning Wang , Qingfeng Li , Li Ou , Junlong Tian , Min Liu , Kai Zhao , Xizhen Wu , Zhuxia Li

A nonlinear quantum-classical transition wave equation is proposed for dissipative systems within the Caldirola-Kanai model. Equivalence of this transition equation to a scaled Schr\"{o}dinger equation is proved. The dissipative dynamics is…

Quantum Physics · Physics 2018-03-19 S. V. Mousavi , S. Miret-Artés

In this work a practical scheme is developed for the first-principles study of time-dependent quantum transport. The basic idea is to combine the transport master-equation with the well-known time-dependent density functional theory. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Xin-Qi Li , YiJing Yan

We present a Machine Learning approach to solve electronic quantum transport equations of one-dimensional nanostructures. The transmission coefficients of disordered systems were computed to provide training and test datasets to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Alejandro Lopez-Bezanilla , O. Anatole von Lilienfeld

Understanding the crossover from quantum to classical transport phenomena has become of fundamental importance not only for technological applications due to the creation of sub-10nm transistors - an important building block of our modern…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Dirk K. Morr

Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the space-time symmetries of the corresponding equations of motion. A systematic analysis of…

Mesoscale and Nanoscale Physics · Physics 2014-12-23 Sergey Denisov , Sergej Flach , Peter Hanggi

An accurate description of electron transport at a molecular level requires a precise treatment of quantum effects. These effects play a crucial role in determining the electron transport properties of single molecules, such as…

Quantum Physics · Physics 2020-12-18 Soran Jahangiri , Juan Miguel Arrazola , Alain Delgado

The fundamental processes of absorption, stimulated and spontaneous emission, and elastic as well as inelastic scattering involving light and atoms, molecules, and nano-particles have been studied for decades using both classical and…

Optics · Physics 2023-10-10 Masud Mansuripur

Waveguide quantum electrodynamics (wQED) with underlying collective and long-range atom-atom interactions has led to many distinct dynamical phenomena, including modified collective radiations and intriguing quantum correlations. It stands…

Quantum Physics · Physics 2026-03-24 Ya-Tang Yu , I Gusti Ngurah Yudi Handayana , Wei Chen , H. H. Jen

We investigate the dynamics of a strongly correlated quantum dot system in the mixed valence regime based on the hierarchical equations of motion (HEOM) approach. The transient and steady state transport properties after a quantum quench…

Strongly Correlated Electrons · Physics 2017-09-11 YongXi Cheng , ZhenHua Li , JianHua Wei , YiJing Yan

We propose a new method for simulating electron dynamics in open quantum systems out of equilibrium, using a finite atomistic model. The proposed method is motivated by the intuitive and practical nature of the driven Liouville von-Neumann…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Tamar Zelovich , Leeor Kronik , Oded Hod

We propose an efficient approach for simultaneous prediction of thermal and electronic transport properties in complex materials. Firstly, a highly efficient machine-learned neuroevolution potential is trained using reference data from…

Materials Science · Physics 2024-04-08 Zheyong Fan , Yang Xiao , Yanzhou Wang , Penghua Ying , Shunda Chen , Haikuan Dong

Atomistic simulations based on the first-principles of quantum mechanics are reaching unprecedented length scales. This progress is due to the growth in computational power allied with the development of new methodologies that allow the…

Materials Science · Physics 2021-05-19 Mariana Rossi

A common approach to minimizing the cost of quantum computations is by transforming a quantum system into a basis that can be optimally truncated. Here, we derive classical equations of motion subjected to similar unitary transformations,…

Quantum Physics · Physics 2024-04-25 Ken Miyazaki , Alex Krotz , Roel Tempelaar

In this review article, we present a non-equilibrium quantum transport theory for transient electron dynamics in nanodevices based on exact master equation derived with the path integral method in the fermion coherent-state representation.…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Pei-Yun Yang , Wei-Min Zhang

This article proposes a Variational Quantum Algorithm to solve linear and nonlinear thermofluid dynamic transport equations. The hybrid classical-quantum framework is applied to problems governed by the heat, wave, and Burgers' equation in…

Quantum Physics · Physics 2025-11-06 Sergio Bengoechea , Paul Over , Dieter Jaksch , Thomas Rung

The description of electron-electron interactions in transport problems is both analytically and numerically difficult. Here we show that a much simpler description of electron transport in the presence of interactions can be achieved in…

Strongly Correlated Electrons · Physics 2009-11-11 Roberto D'Agosta , Massimiliano Di Ventra

The simulation of ion-atom collisions remains a formidable challenge due to the complex interplay between electronic and nuclear degrees of freedom. We present a hybrid quantum-classical computing framework for simulating time-dependent…

Quantum Physics · Physics 2026-02-03 Minchen Qiao , Yu-xi Liu
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