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Electron Transfer (ET) reactions are modeled by the dynamics of a quantum two-level system (representing the electronic state) coupled to a thermalized bath of classical harmonic oscillators (representing the nuclei degrees of freedom).…

Chemical Physics · Physics 2014-11-24 Serge Aubry

We present a time-independent quantum formalism to describe the dynamics of molecules with permanent electric dipole moments in a two-dimensional confined geometry such as a one-dimensional optical lattice, in the presence of an electric…

Atomic Physics · Physics 2011-01-17 Goulven Quéméner , John L. Bohn

Through an appropriate election of the molecular orbital basis, we show analytically that the molecular dissociation occurring in a Heyrovsky reaction can be interpreted as a Quantum Dynamical Phase Transition, i.e., an analytical…

We analyze heat and charge transport through a single-level quantum dot coupled to two BCS superconductors at different temperatures to first order in the tunnel coupling. In order to describe the system theoretically, we extend a real-time…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Mathias Kamp , Björn Sothmann

The essence of a chemical reaction lies in the redistribution and reorganization of electrons, which is often manifested through electron transfer or the migration of electron pairs. These changes are inherently discrete and abrupt in the…

Machine Learning · Computer Science 2025-07-14 Haitao Lin , Junjie Wang , Zhifeng Gao , Xiaohong Ji , Rong Zhu , Linfeng Zhang , Guolin Ke , Weinan E

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

Soft Condensed Matter · Physics 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

A quantum fluid dynamic control formulation is presented for optimally manipulating atomic and molecular systems. In quantum fluid dynamic the control quantum system is expressed in terms of the probability density and the quantum current.…

Chemical Physics · Physics 2009-11-06 Bijoy K. Dey , Herschel Rabitz , Attila Askar

Subdiffusion has been proposed as an explanation of various kinetic phenomena inside living cells. In order to fascilitate large-scale computational studies of subdiffusive chemical processes, we extend a recently suggested mesoscopic model…

Analysis of PDEs · Mathematics 2018-02-19 Emilie Blanc , Stefan Engblom , Andreas Hellander , Per Lötstedt

We present the first quantum-centric simulations of noncovalent interactions using a supramolecular approach. We simulate the potential energy surfaces (PES) of the water and methane dimers, featuring hydrophilic and hydrophobic…

Recently, condensed matter and atomic experiments have reached a length-scale and temperature regime where new quantum collective phenomena emerge. Finding such physics in systems of photons, however, is problematic, as photons typically do…

Other Condensed Matter · Physics 2007-08-01 Andrew D. Greentree , Charles Tahan , Jared H. Cole , L. C. L. Hollenberg

Marcus theory is fundamental to describing electron transfer reactions and quantifying their rates, effectively representing the energy surface associated with an electron transfer from the reactant to the product ionic state via parabolas…

Chemical Physics · Physics 2025-10-28 Zhenyu Wang , Mira Todorova , Christoph Freysoldt , Jörg Neugebauer

We develop, analyse and numerically simulate a model of a prototype, glucose-driven, rhythmic drug delivery device, aimed at hormone therapies, and based on chemomechanical interaction in a polyelectrolyte gel membrane. The pH-driven…

Chemical Physics · Physics 2016-04-07 M. Carme Calderer , Yoichiro Mori , Ronald A. Siegel , Lingxing Yao

The transformation of a system from one state to another is often mediated by a bottleneck in the system's phase space. In chemistry these bottlenecks are known as \emph{transition states} through which the system has to pass in order to…

Chaotic Dynamics · Physics 2015-06-15 Ünver Çiftçi , Holger Waalkens

We introduce a mathematically rigorous analysis of a generalized spin-boson system for the treatment of a donor-acceptor (reactant-product) quantum system coupled to a thermal quantum noise. The donor/acceptor probability dynamics describes…

Mathematical Physics · Physics 2012-09-05 Marco Merkli , Gennady Berman , Richard Sayre

A proposed paradigm for out-of-equilibrium quantum systems is that an analogue of quantum phase transitions exists between parameter regimes of qualitatively distinct time-dependent behavior. Here, we present evidence of such a transition…

We study the interactions mediated by a symmetric superconducting quantum interference device (SQUID), their renormalizations, and the applicability of the anharmonic oscillator (bosonic) model for a coupled phase qubit. The latter dwells…

Quantum Physics · Physics 2026-05-11 Eugene V. Stolyarov , V. L. Andriichuk , Andrii M. Sokolov

We explore excitonic energy transfer dynamics in a molecular dimer system coupled to both structured and unstructured oscillator environments. By extending the reaction coordinate master equation technique developed in [J. Iles-Smith, N.…

Chemical Physics · Physics 2016-04-05 Jake Iles-Smith , Arend G. Dijkstra , Neill Lambert , Ahsan Nazir

Quantum computers hold great promise for arriving at exact simulations of nuclear dynamical processes (e.g., scattering and reactions) that are paramount to the study of nuclear matter at the limit of stability and to explaining the…

Modeling of dynamic processes in nuclear reactors is carried out, mainly, on the basis of the multigroup diffusion approximation for the neutron flux. The basic model includes a multidimensional set of coupled parabolic equations and…

Computational Engineering, Finance, and Science · Computer Science 2017-06-19 Alexander V. Avvakumov , Valery F. Strizhov , Petr N. Vabishchevich , Alexander O. Vasilev

We extend ring-polymer molecular dynamics (RPMD) to allow for the direct simulation of general, electronically non-adiabatic chemical processes. The kinetically constrained (KC) RPMD method uses the imaginary-time path-integral…

Statistical Mechanics · Physics 2014-03-05 Artur R. Menzeleev , Franziska Bell , Thomas F. Miller
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