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For a system without spin-orbit coupling, the (i) nuclear plus electronic linear momentum and (ii) nuclear plus orbital electronic angular momentum are good quantum numbers. Thus, when a molecular system undergoes a nonadiabatic transition,…

We investigate two well-known approaches for extending the fewest switches surface hopping (FSSH) algorithm to periodic time-dependent couplings. The first formalism acts as if the instantaneous adiabatic electronic states were standard…

Chemical Physics · Physics 2019-10-07 Zeyu Zhou , Hsing-Ta Chen , Abraham Nitzan , Joseph Eli Subotnik

A new scheme is proposed for modeling molecular nonadiabatic dynamics near metal surfaces. The charge-transfer character of such dynamics is exploited to construct an efficient reduced representation for the electronic structure. In this…

Chemical Physics · Physics 2020-09-24 Zuxin Jin , Joseph E. Subotnik

The capability of fewest-switches surface hopping (FSSH) to describe non-adiabatic dynamics of small and medium sized molecules under explicit excitation with external fields is evaluated. Different parameters in FSSH and combinations…

Chemical Physics · Physics 2021-04-21 Moritz Heindl , Leticia González

We perform extensive benchmark comparisons of surface hopping dynamics with numerically exact calculations for the spin-boson model over a wide range of energetic and coupling parameters as well as temperature. We find that deviations from…

Mesoscale and Nanoscale Physics · Physics 2016-04-04 Hsing-Ta Chen , David R. Reichman

We present a preliminary extension of the fewest switches surface hopping (FSSH) algorithm to the case of complex Hamiltonians as appropriate for modeling the dynamics of photoexcited molecules in magnetic fields. We make ansatze for the…

Chemical Physics · Physics 2019-05-01 Gaohan Miao , Nicole Bellonzi , Joseph Subotnik

We present a nonadiabatic classical-trajectory approach that offers the best of both worlds between fewest-switches surface hopping (FSSH) and quasiclassical mapping dynamics. This mapping approach to surface hopping (MASH) propagates the…

Chemical Physics · Physics 2023-03-29 Jonathan R. Mannouch , Jeremy O. Richardson

We present a novel semiclassical phase-space surface hopping approach that goes beyond the Born-Oppenheimer approximation and all existing surface hopping formalisms. We demonstrate that working with a correct phase-space electronic…

Chemical Physics · Physics 2024-10-03 Xuezhi Bian , Yanze Wu , Tian Qiu , Tao Zhen , Joseph E. Subotnik

Smoothed particle hydrodynamics (SPH) is positioned as having ideal conservation properties. When properly implemented, conservation of total mass, energy, and both linear and angular momentum is guaranteed exactly, up to machine precision.…

Instrumentation and Methods for Astrophysics · Physics 2021-07-16 Oleg Korobkin , Hyun Lim , Irina Sagert , Julien Loiseau , Christopher Mauney , M. Alexander R. Kaltenborn , Bing-Jyun Tsao , Wesley P. Even

It is well known that fewest-switches surface hopping (FSSH) fails to correctly capture the quadratic scaling of rate constants with diabatic coupling in the weak-coupling limit, as expected from Fermi's golden rule and Marcus theory. To…

Chemical Physics · Physics 2023-11-16 Joseph E. Lawrence , Jonathan R. Mannouch , Jeremy O. Richardson

While surface-hopping has emerged as a powerful method to simulate non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in the algorithm somewhat reduces its…

Chemical Physics · Physics 2024-01-17 Lucien Dupuy , Anton Rikus , Neepa T. Maitra

Fewest switches surface hopping (FSSH) is a well benchmarked dynamical method for simulating nonadiabatic systems. In particular, the literature shows that for the spin-Boson model Hamiltonian, FSSH with appropriate corrections usually…

Quantum Physics · Physics 2025-12-30 Manas Nagda , Priyam Kumar De , Amber Jain

This study introduces the FSSH-2 scheme, a redefined and numerically stable adiabatic Fewest Switches Surface Hopping (FSSH) method for mixed quantum-classical dynamics. It reformulates the standard FSSH hopping probability without…

Computational Physics · Physics 2024-01-19 Leonardo Araujo , Caroline Lasser , Burkhard Schmidt

In mixed quantum-classical simulations of molecule-metal surface interactions, the discretization of the metallic electronic continuum typically results in a closed-system representation that fails to capture the open-system nature of the…

Chemical Physics · Physics 2026-03-19 Yongtao Ma , Wenjie Dou

A surface-hopping algorithm recently derived from the exact factorization approach, SHXF, [Ha, Lee, Min, J. Phys. Chem. Lett. 9, 1097 (2018)] introduces an additional term in the electronic equation of surface-hopping, which couples…

Chemical Physics · Physics 2022-02-08 Patricia Vindel-Zandbergen , Spiridoula Matsika , Neepa T. Maitra

Trajectory surface hopping (TSH) is one of the most widely used quantum-classical algorithms for nonadiabatic molecular dynamics. Despite its empirical effectiveness and popularity, a rigorous derivation of TSH as the classical limit of a…

Chemical Physics · Physics 2013-01-11 J. M. Escartín , P. Romaniello , L. Stella , P. -G. Reinhard , E. Suraud

The total angular momentum of a close system is a conserved quantity, which should remain constant in time for any excitation experiment once the pumping signal has extinguished. Such conservation, however, is never satisfied in practice in…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Jacopo Simoni , Stefano Sanvito

Nuclear Berry curvature effects emerge from electronic spin degeneracy and canlead to non-trivial spin-dependent (nonadiabatic) nuclear dynamics. However, such effects are completely neglected in all current mixed quantum-classical methods…

Chemical Physics · Physics 2022-08-29 Xuezhi Bian , Yanze Wu , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

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…

Chemical Physics · Physics 2016-10-12 Jianfeng Lu , Zhennan Zhou

Non-adiabatic chemical reactions involving continuous circularly polarized light (cw CPL) have not attracted as much attention as dynamics in unpolarized/linearly polarized light. However, including circularly (in contrast to linearly)…

Chemical Physics · Physics 2022-09-20 Zeyu Zhou , Yanze Wu , Xuezhi Bian , Joseph Eli Subotnik
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