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Related papers: Thawed Gaussian Ehrenfest dynamics at conical inte…

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While the treatment of conical intersections in molecular dynamics generally requires nonadiabatic approaches, the Born-Oppenheimer adiabatic approximation is still adopted as a valid alternative in certain circumstances. In the context of…

Chemical Physics · Physics 2020-09-16 Jonathan I. Rawlinson , Cesare Tronci

Despite its simplicity, the single-trajectory thawed Gaussian approximation has proven useful for calculating vibrationally resolved electronic spectra of molecules with weakly anharmonic potential energy surfaces. Here, we show that the…

Chemical Physics · Physics 2024-09-26 Ēriks Klētnieks , Yannick Calvino Alonso , Jiří J. L. Vaníček

Due to a continuum of electronic states present in periodic systems, the description of molecular dynamics on surfaces poses a serious computational challenge. One of the most used families of approaches in these settings are friction…

Chemical Physics · Physics 2021-12-08 Ignacio Loaiza , Artur F. Izmaylov

We present a means of studying rare reactive pathways in open quantum systems using Transition Path Theory and ensembles of quantum jump trajectories. This approach allows for elucidation of reactive paths for dissipative, nonadiabatic…

Chemical Physics · Physics 2022-11-09 Michelle C. Anderson , Addison J. Schile , David T. Limmer

We study the semiclassical Ehrenfest trajectories in open quantum systems. We first derive in explicit form the Fokker-Planck equation that governs the time evolution of the mixing measure for a Gaussian mixture. Then, we embed the…

Quantum Physics · Physics 2026-05-01 Xiao-Kan Guo

We have derived equations for nonadiabatic Ehrenfest molecular dynamics which conserve the total energy in the case of time-dependent discretization for electrons. A discretization is time-dependent in all cases where it or part of it…

Materials Science · Physics 2015-05-30 Ari Ojanperä , Ville Havu , Lauri Lehtovaara , Martti Puska

Two classical stochastic processes are considered, the Ehrenfest process, introduced in 1907 in the kinetic theory of gases to describe the heat exchange between two bodies and the Engset process, one of the early (1918) stochastic models…

Probability · Mathematics 2011-09-02 Mathieu Feuillet , Philippe Robert

In this work we look at the quantum dynamics of the process known as either transport without transit (TWT), or coherent transfer of atomic population (CTAP), of a Bose-Einstein condensate from one well of a lattice potential to another,…

Quantum Physics · Physics 2015-06-18 M. K. Olsen

We present an approach for carrying out non-adiabatic molecular dynamics simulations of systems in which non-adiabatic transitions arise from the coupling between the classical atomic motions and a quasi-continuum of electronic quantum…

Computational Physics · Physics 2018-11-21 Jerome Daligault , Dmitry Mozyrsky

The Ehrenfest dynamics, representing a quantum-classical mean-field type coupling, is a widely used approximation in quantum molecular dynamics. In this paper, we propose a time-splitting method for an Ehrenfest dynamics, in the form of a…

Numerical Analysis · Mathematics 2022-10-19 Di Fang , Shi Jin , Christof Sparber

Simulating vibrationally resolved electronic spectra of anharmonic systems, especially those involving double-well potential energy surfaces, often requires expensive quantum dynamics methods. Here, we explore the applicability and…

Chemical Physics · Physics 2022-05-12 Tomislav Begušić , Enrico Tapavicza , Jiří Vaníček

We demonstrate coherent control of motional dynamics in trapped Rydberg ions engineered to exhibit a conical intersection between adiabatic potential-energy surfaces. Using quantum optimal control, an optimally shaped electric field drives…

Quantum Physics · Physics 2025-09-16 Abdessamad Belfakir , Yousra Bouasria , Herschel Rabitz , Ahmed Ratnani

Molecules in molecular junctions are subject to current-induced forces that can break chemical bonds, induce reactions, destabilize molecular geometry, and halt the operation of the junction. Theories behind current-driven molecular…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Riley J. Preston , Thomas D. Honeychurch , Daniel S. Kosov

Ab initio modeling of conical intersection dynamics is crucial for various photochemical, photophysical, and biological processes. However, adiabatic electronic states obtained from electronic structure computations involve random phases,…

Chemical Physics · Physics 2024-06-13 Xiaotong Zhu , Bing Gu

We present a new formulation of the correlated electron-ion dynamics (CEID) scheme, which systematically improves Ehrenfest dynamics by including quantum fluctuations around the mean-field atomic trajectories. We show that the method can…

Materials Science · Physics 2007-12-13 L. Stella , M. Meister , A. J. Fisher , A. P. Horsfield

Conical intersections between electronic potential energy surfaces are paradigmatic for the study of non-adiabatic processes in the excited states of large molecules. However, since the corresponding dynamics occurs on a femtosecond…

Atomic Physics · Physics 2021-06-14 Filippo Maria Gambetta , Chi Zhang , Markus Hennrich , Igor Lesanovsky , Weibin Li

This work identifies geometric effects on dynamics due to nonadiabatic couplings in Born Oppenheimer systems and provides a systematic method for deriving corrections to mixed quantum-classical methods. Specifically, an exact path integral…

Chemical Physics · Physics 2007-05-23 Vinod Krishna

The definition of a consistent evolution equation for statistical hybrid quantum-classical systems is still an open problem. In this paper we analyze the case of Ehrenfest dynamics on systems defined by a probability density and identify…

Quantum Physics · Physics 2023-08-30 J. L. Alonso , C. Bouthelier-Madre , J. Clemente-Gallardo , D. Martínez-Crespo , J. Pomar

Experiments indicate that collective coupling of molecular ensembles to confined optical modes can modify excited-state dynamics and photochemical reactivity. To describe such cavity-induced effects at atomic resolution, semi-classical…

Chemical Physics · Physics 2026-03-06 Arun Kumar Kanakati , Oriol Vendrell , Gerrit Groenhof

Two-dimensional electronic spectroscopy (2DES) provides a detailed picture of electronically nonadiabatic dynamics that can be interpreted with the aid of simulations. Here, we develop and contrast trajectory-based nonadiabatic dynamics…