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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

Spectral, optical and transport properties of an anisotropic three-dimensional Holstein model are studied within the adiabatic approximation. The parameter regime is appropriate for organic semiconductors used in single crystal based field…

Strongly Correlated Electrons · Physics 2015-05-27 C. A. Perroni , A. Nocera , V. Marigliano Ramaglia , V. Cataudella

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

The diagonal Born-Oppenheimer correction (DBOC) stems from the diagonal second derivative coupling term in the adiabatic representation, and it can have an arbitrary large magnitude when a gap between neighbouring Born-Oppenheimer (BO)…

Chemical Physics · Physics 2016-05-02 Rami Gherib , Liyuan Ye , Ilya G. Ryabinkin , Artur F. Izmaylov

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

We consider a coupled system of Schr\"odinger equations, arising in quantum mechanics via the so-called time-dependent self-consistent field method. Using Wigner transformation techniques we study the corresponding classical limit dynamics…

Analysis of PDEs · Mathematics 2014-06-17 Shi Jin , Christof Sparber , Zhennan Zhou

We perform benchmark simulations using the time-dependent variational approach with the multiple Davydov Ansatz (mDA) to study realtime nonequilibrium dynamics in a single qubit model coupled to two thermal baths with distinct temperatures.…

Quantum Physics · Physics 2025-10-13 Chenlin Ma , Fulu Zheng , Kewei Sun , Lu Wang , Yang Zhao

We investigate the Holstein mechanism in a single-electron (one-site) system, where unitary evolution intrinsically involves both fermion and boson operators under nonadiabatic conditions. The resulting unitary dynamics and boson-frequency…

Disordered Systems and Neural Networks · Physics 2025-12-02 Chen-Huan Wu

The real-time dynamics of the Fermi-Hubbard model, driven out of equilibrium by quenching or ramping the interaction parameter, is studied within the framework of the nonequilibrium self-energy functional theory. A dynamical impurity…

Strongly Correlated Electrons · Physics 2016-06-03 Felix Hofmann , Martin Eckstein , Michael Potthoff

Injection from metallic electrodes serves as a main channel of charge generation in organic semiconducting devices and the quantum effect is normally regarded to be essential. We develop a dynamic approach based upon the surface hopping…

Applied Physics · Physics 2021-01-20 Jiaqing Huang , Yijie Mo , Yao Yao

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

A general form of a many-body Hamiltonian is considered, which includes an interacting fermionic sub-system coupled to non-interacting extended fermionic and bosonic systems. We show that the exact dynamics of the extended bosonic system…

Strongly Correlated Electrons · Physics 2015-06-22 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

Quantum simulations of photoexcited low-dimensional systems are pivotal for understanding how to functionalize and integrate novel two-dimensional (2D) materials in next-generation optoelectronic devices. First principles predictions are…

Mesoscale and Nanoscale Physics · Physics 2023-05-15 Enrico Perfetto , Gianluca Stefanucci

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

Charge-density wave phases in quantum materials stem from the complex interplay of electronic and lattice degrees of freedom. Nowadays, various time-resolved spectroscopy techniques allow to actively manipulate such phases and monitor their…

Strongly Correlated Electrons · Physics 2024-05-14 Eva Paprotzki , Alexander Osterkorn , Vibhu Mishra , Stefan Kehrein

We develop a hierarchical equations of motion (HEOM) approach to compute real-time single-particle correlation functions and thermodynamic properties of the Holstein model at finite temperature. We exploit the conservation of the total…

Strongly Correlated Electrons · Physics 2022-02-24 Veljko Janković , Nenad Vukmirović

Born-Oppenheimer dynamics is shown to provide an accurate approximation of time-independent Schr\"odinger observables for a molecular system with an electron spectral gap, in the limit of large ratio of nuclei and electron masses, without…

Mathematical Physics · Physics 2011-09-21 Christian Bayer , Håkon Hoel , Petr Plecháč , Anders Szepessy , Raúl Tempone

The recursion method, which solves coupled Heisenberg equations in a Lanczos operator basis, has recently emerged as a powerful nonperturbative tool for computing dynamical correlation functions in strongly correlated two- and…

Strongly Correlated Electrons · Physics 2026-04-29 Ilya Shirokov , Viacheslav Khrushchev , Filipp Uskov , Ivan Dudinets , Igor Ermakov , Oleg Lychkovskiy

We build on the concept of eigenvector continuation to develop an efficient multi-state method for the rigorous and smooth interpolation of a small training set of many-body wavefunctions through chemical space at mean-field cost. The…

Chemical Physics · Physics 2024-05-02 Kemal Atalar , Yannic Rath , Rachel Crespo-Otero , George H. Booth

The thorough treatment of electron-lattice interactions from first principles is one of the main goals in condensed matter physics. While the commonly applied adiabatic Born-Oppenheimer approximation is sufficient for describing many…

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