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A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an…

介观与纳米尺度物理 · 物理学 2009-12-10 Alexander Croy , Ulf Saalmann

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

数值分析 · 数学 2023-10-30 Jörg Nick

The time-dependent exchange-correlation potential has an unusual task in directing fictitious non-interacting electrons to move with exactly the same probability density as true interacting electrons. This has intriguing implications for…

化学物理 · 物理学 2024-06-19 Davood Dar , Lionel Lacombe , Neepa T. Maitra

The classical and quantum dynamics of simple time-reparametrization- invariant models containing two degrees of freedom are studied in detail. Elimination of one ``clock'' variable through the Hamiltonian constraint leads to a description…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Ian D. Lawrie , Richard J. Epp

Following Ref. [Oriols X 2007 Phys. Rev. Lett., 98 066803], an algorithm to deal with the exchange interaction in non-separable quantum systems is presented. The algorithm can be applied to fermions or bosons and, by construction, it…

量子物理 · 物理学 2014-08-05 A. Alarcón , S. Yaro , X. Cartoixà , X. Oriols

Due to a beneficial balance of computational cost and accuracy, real-time time-dependent density functional theory has emerged as a promising first-principles framework to describe electron real-time dynamics. Here we discuss recent…

Each scheme of state reconstruction comes down to parametrize the state of a quantum system by expectation values or probabilities directly measurable in an experiment. It is argued that the time evolution of these quantities provides an…

量子物理 · 物理学 2014-11-18 Stefan Weigert

The purpose of the present paper is to discuss the time dependent Schr\"odinger equation on a metric graph with time-dependent edge lengths, and the proper way to pose the problem so that the corresponding time evolution is unitary. We show…

数学物理 · 物理学 2024-03-21 Uzy Smilansky , Gilad Sofer

We show that the exact exchange-correlation potential of time-dependent density-functional theory displays dynamical step structures that have a spatially non-local and time non-local dependence on the density. Using one-dimensional…

化学物理 · 物理学 2015-06-12 Peter Elliott , Johanna I. Fuks , Angel Rubio , Neepa T. Maitra

A numerical scheme for solving the time-evolution of wave functions under the time dependent Kohn-Sham equation has been developed. Since the effective Hamiltonian depends on the wave functions, the wave functions and the effective…

计算物理 · 物理学 2009-11-07 Naoki Watanabe , Masaru Tsukada

We present a variational principle for the extraction of a time-dependent orthonormal basis from random realizations of transient systems. The optimality condition of the variational principle leads to a closed-form evolution equation for…

数值分析 · 数学 2020-07-01 Hessam Babaee

The vibronic dynamics of a trapped ion in the resolved-sideband regime can be described by the explicitly time-dependent nonlinear Jaynes-Cummings model. It is shown that the expectation value of the interaction Hamiltonian and its…

量子物理 · 物理学 2019-06-13 F. Krumm , W. Vogel

In a realistic scenario, the evolution of the rotational dynamics of a celestial or artificial body is subject to dissipative effects. Time-varying non-conservative forces can be due to, for example, a variation of the moments of inertia or…

地球与行星天体物理 · 物理学 2017-03-24 Ioannis Gkolias , Christos Efthymiopoulos , Giuseppe Pucacco , Alessandra Celletti

The underlying mechanism in the implementation of unitary operation on a system with an external apparatus is studied. We implement the unitary time evolution in the system as a physical phenomenon that results from the interaction between…

量子物理 · 物理学 2018-09-17 Hiroyasu Tajima , Naoto Shiraishi , Keiji Saito

The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics…

高能物理 - 理论 · 物理学 2009-10-30 Christof Wetterich

Conceiving a molecule as composed of smaller molecular fragments, or subunits, is one of the pillars of the chemical and physical sciences, and leads to productive methods in quantum chemistry. Using a fragmentation scheme, efficient…

化学物理 · 物理学 2015-04-14 Martín A. Mosquera , Adam Wasserman

The dynamics of time-dependent coupled oscillator model for the charged particle motion subjected to a time-dependent external magnetic field is investigated. We used canonical transformation approach for the classical treatment of the…

量子物理 · 物理学 2015-05-20 Salah Menouar , Mustapha Maamache , Jeong Ryeol Choi

We present a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics governed by the Schr\"odinger equation, in which the logarithm of the wave function is expanded in powers of a coupling constant.…

量子物理 · 物理学 2026-04-17 Juan Carlos del Valle , Paul Bergold , Karolina Kropielnicka

Time evolution of a perturbed thermal state is studied in a quantum-mechanical system with O(N) symmetry. In the limit of large N, time dependence of O(N)-singlet expectation values can be described by classical equations of motion in a…

量子物理 · 物理学 2009-03-26 P. V. Buividovich

In view of the recent quest for well-behaved nonlinear extensions of the traditional Schroedinger-von Neumann unitary dynamics that could provide fundamental explanations of recent experimental evidence of loss of quantum coherence at the…

量子物理 · 物理学 2010-11-13 Gian-Paolo Beretta
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