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We consider the asymptotic evolution of a relativistic spin-1/2-particle. i.e. a particle whose wavefunction satisfies the Dirac equation with external static potential. We prove that the probability for the particle crossing a (detector)…

数学物理 · 物理学 2009-11-07 D. Duerr , P. Pickl

We describe how to simulate charge diffusion in organic semiconductors using a recently introduced mixed quantum-classical method, the mapping approach to surface hopping (MASH). In contrast to standard fewest-switches surface hopping, this…

化学物理 · 物理学 2024-10-01 Johan E. Runeson , Thomas J. G. Drayton , David E. Manolopoulos

Transition State Theory is a central cornerstone in reaction dynamics. Its key step is the identification of a dividing surface that is crossed only once by all reactive trajectories. This assumption is often badly violated, especially when…

化学物理 · 物理学 2015-05-07 F. Revuelta , Thomas Bartsch , R. M. Benito , F. Borondo

In the spirit of the fewest switches surface hopping, the frozen Gaussian approximation with surface hopping (FGA-SH) method samples a path integral representation of the non-adiabatic dynamics in the semiclassical regime. An improved…

化学物理 · 物理学 2016-10-12 Jianfeng Lu , Zhennan Zhou

Rare nonadiabatic events play a central role in photochemistry but remain difficult to simulate because excited-state dynamics is computationally demanding and often stochastic. Here we introduce a deterministic and time-reversible…

The computer simulation of many molecular processes is complicated by long time scales caused by rare transitions between long-lived states. Here, we propose a new approach to simulate such rare events, which combines transition path…

计算物理 · 物理学 2023-03-23 Sebastian Falkner , Alessandro Coretti , Christoph Dellago

Quantum spintronics is an emerging field focused on developing novel applications by utilizing the quantum coherence of magnetic systems. A key challenge in this context is achieving scalable long-range quantum information transmission in…

介观与纳米尺度物理 · 物理学 2025-10-14 Ji Zou , Stefano Bosco , Jelena Klinovaja , Daniel Loss

We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves,…

超导电性 · 物理学 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

We examine the phase space structures that govern reaction dynamics in the absence of critical points on the potential energy surface. We show that in the vicinity of hyperbolic invariant tori it is possible to define phase space dividing…

In chemical reactions, trajectories typically turn from reactants to products when crossing a dividing surface close to the normally hyperbolic invariant manifold (NHIM) given by the intersection of the stable and unstable manifolds of a…

化学物理 · 物理学 2020-11-10 Manuel Kuchelmeister , Johannes Reiff , Jörg Main , Rigoberto Hernandez

Unveiling the key mechanisms that determine optically driven spin dynamics is essential both to probe the fundamental nature of ultrafast light-matter interactions, but also to drive future technologies of smaller, faster, and more energy…

Sensing touch on arbitrary surfaces has long been a goal of ubiquitous computing, but often requires instrumenting the surface. Depth camera-based systems have emerged as a promising solution for minimizing instrumentation, but at the cost…

人机交互 · 计算机科学 2025-03-04 Ziyi Xia , Xincheng Huang , Sidney S Fels , Robert Xiao

Aging dynamics in glassy systems is investigated by considering the hopping motion in a rugged energy landscape whose deep minima are characterized by an exponential density of states. In particular we explore the behavior of a generic…

统计力学 · 物理学 2009-11-07 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

The constituents of soft matter systems such as colloidal suspensions, emulsions, polymers, and biological tissues undergo microscopic random motion, due to thermal energy. They may also experience drift motion correlated over mesoscopic or…

软凝聚态物质 · 物理学 2015-06-16 Luca Cipelletti , Giovanni Brambilla , Simona Maccarrone , Sami Caroff

Dynamics of a particle diffusing in a confinement can be seen a sequence of bulk-diffusion-mediated hops on the confinement surface. Here, we investigate the surface hopping propagator that describes the position of the diffusing particle…

统计力学 · 物理学 2020-09-23 Denis S. Grebenkov

The motion of and interaction between phase singularities that anchor spiral waves captures many qualitative and, in some cases, quantitative features of complex dynamics in excitable systems. Being able to accurately reconstruct their…

混沌动力学 · 物理学 2019-07-24 Daniel R. Gurevich , Roman O. Grigoriev

Accurate simulation the many-electronic nonadiabatic dynamics process at metal surfaces remains as a significant task. In this work, we present an orbital surface hopping (OSH) algorithm rigorously derived from the orbital quantum classical…

化学物理 · 物理学 2025-11-24 Yong-Tao Ma , Rui-Hao Bi , Wenjie Dou

Atypical, rare trajectories of dynamical systems are important: they are often the paths for chemical reactions, the haven of (relative) stability of planetary systems, the rogue waves that are detected in oil platforms, the structures that…

统计力学 · 物理学 2012-04-12 Cristian Giardina , Jorge Kurchan , Vivien Lecomte , Julien Tailleur

Topological insulators are insulating in the bulk but feature conducting states on their surfaces. Standard methods for probing their topological properties largely involve probing the surface, even though topological invariants are defined…

Experiments and their interpretation on polarization dynamics and polarization switching in vertical-cavity surface-emitting lasers operated in the fundamental transverse mode regime are reviewed. Important observations are switching events…

光学 · 物理学 2025-07-14 Thorsten Ackemann , Markus Sondermann