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We study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the…

Quantum Physics · Physics 2009-11-13 R. Schilling , Mark Vogelsberger , D. A. Garanin

Accurate simulation of the non-adiabatic dynamics of molecules in excited electronic states is key to understanding molecular photo-physical processes. Here we present a novel method, based on a semiclassical approximation, that is as…

Chemical Physics · Physics 2016-05-24 Alexander White , Sergei Tretiak , Dmitry Mozyrsky

Non-Hermitian physics provides an effective description of open and nonequilibrium systems and hosts many novel and intriguing phenomena such as exceptional points and non-Hermitian skin effect. Despite extensive theoretical and…

Quantum Physics · Physics 2024-11-04 Menghua Deng , Wei Li , Kangyi Hu , Fuxiang Li

To understand the non-equilibrium relaxation dynamics of a liquid droplet on a switchable substrate the interplay of different length- and time-scales needs to be understood. We present a method to map the microscopic information, resulting…

Fluid Dynamics · Physics 2022-08-01 Moritz Stieneker , Leon Topp , Svetlana Gurevich , Andreas Heuer

We propose an approximate method for evaluating the importance of non-Born-Oppenheimer effects on the quantum dynamics of nuclei. The method uses a generalization of the dephasing representation (DR) of quantum fidelity to several diabatic…

Chemical Physics · Physics 2013-01-15 Tomas Zimmermann , Jiri Vanicek

Nonadiabatic couplings (NACs) play a crucial role in modeling photochemical and photophysical processes with methods such as the widely used fewest-switches surface hopping (FSSH). There is therefore a strong incentive to machine learn NACs…

Computational Physics · Physics 2026-03-17 Jakub Martinka , Lina Zhang , Yi-Fan Hou , Mikołaj Martyka , Jiří Pittner , Mario Barbatti , Pavlo O. Dral

A new methodology of simulating nonadiabatic dynamics using frozen-width Gaussian wavepackets within the moving crude adiabatic representation with the on-the-fly evaluation of electronic structure is presented. The main feature of the new…

Chemical Physics · Physics 2018-04-04 Loïc Joubert-Doriol , Artur F. Izmaylov

Here we outline and test an extension of the energy grained master equation (EGME) for treating nonadiabatic (NA) hopping between different potential energy surfaces, which enables us to model the competition between stepwise collisional…

Chemical Physics · Physics 2021-06-09 Darya Shchepanovska , Robin J. Shannon , Basile F. E. Curchod , David R. Glowacki

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…

We introduce a novel computational framework for excited-states molecular quantum dynamics simulations driven by quantum computing-based electronic-structure calculations. This framework leverages the fewest-switches surface-hopping method…

Quantum Physics · Physics 2024-02-26 Anthony Gandon , Alberto Baiardi , Pauline Ollitrault , Ivano Tavernelli

We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms…

Quantum Physics · Physics 2020-05-05 Mathieu Beau , Adolfo del Campo

We introduce a novel methodology for simulating the excited-state dynamics of extensive molecular aggregates in the framework of the long-range corrected time-dependent density-functional tight-binding fragment molecular orbital method…

Chemical Physics · Physics 2024-04-23 Richard Einsele , Roland Mitrić

We report an implementation for employing the algebraic diagrammatic construction to second order [ADC(2)] ab initio electronic structure level of theory in nonadiabatic dynamics simulations in the framework of the SHARC (surface hopping…

Chemical Physics · Physics 2019-01-11 Sebastian Mai , Felix Plasser , Mathias Pabst , Frank Neese , Andreas Köhn , Leticia González

A theoretical justification of the empirical surface hopping method for the laser-driven molecular dynamics is given utilizing the formalism of the exact factorization of the molecular wavefunction [Abedi et al., PRL $\textbf{105}$, 123002…

Chemical Physics · Physics 2017-07-05 T. Fiedlschuster , J. Handt , E. K. U. Gross , R. Schmidt

This research examines the nonadiabatic dynamics of cyclobutanone after excitation into the n-3s Rydberg S2 state. It stems from our contribution to the Special Topic of the Journal of Chemical Physics to test the predictive capability of…

Chemical Physics · Physics 2024-02-16 Saikat Mukherjee , Rafael S. Mattos , Josene M. Toldo , Hans Lischka , Mario Barbatti

We report the development of programs for on-the-fly surface hopping dynamics simulations in the gas and condensed phases on the potential energy surfaces computed by multistate multireference perturbation theory (XMS-CASPT2) with full…

Chemical Physics · Physics 2017-07-13 Jae Woo Park , Toru Shiozaki

We introduce an improved semiclassical dynamics approach to quantum vibrational spectroscopy. In this method, a harmonic-based phase space sampling is preliminarily driven toward non-harmonic quantization by slowly switching on the actual…

Chemical Physics · Physics 2019-12-09 Riccardo Conte , Lorenzo Parma , Chiara Aieta , Alessandro Rognoni , Michele Ceotto

Quantum molecular dynamics requires an accurate representation of the molecular potential energy surface from a minimal number of electronic structure calculations, particularly for nonadiabatic dynamics where excited states are required.…

Chemical Physics · Physics 2016-08-24 Charles W. Heaps , David A. Mazziotti

We study the dynamics of non-adiabatic transitions in non-Hermitian multi-level parabolic models where the separations of the diabatic energies are quadratic function of time. The model Hamiltonian has been used to describe the…

Quantum Physics · Physics 2023-01-13 Chon-Fai Kam , Yang Chen

A method is presented that can find the global minimum of very complex condensed matter systems. It is based on the simple principle of exploring the configurational space as fast as possible and of avoiding revisiting known parts of this…

Materials Science · Physics 2007-05-23 Stefan Goedecker