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This report presents a new approach for treating the coupling of electrons and nuclei in quantum mechanical calculations for molecules and condensed matter. It includes the standard "Born-Oppenheimer approximation" as a special case but…

Chemical Physics · Physics 2013-06-28 Gerald I. Kerley

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions…

Quantum Physics · Physics 2025-04-08 R. Pant , P. K. Verma , C. Rangi , E. Mondal , M. Bhati , V. Srinivasan , S. Wüster

Assemblies of highly excited Rydberg atoms in an ultracold gas can be set into motion by a combination of van-der-Waals and resonant dipole-dipole interactions. Thereby, the collective electronic Rydberg state might change due to…

Atomic Physics · Physics 2021-12-15 Ritesh Pant , Rajat Agrawal , Sebastian Wüster , Jan-Michael Rost

Trajectory-based mixed quantum-classical approaches to coupled electron-nuclear dynamics suffer from well-studied problems such as the lack of (or incorrect account for) decoherence in the trajectory surface hopping method and the inability…

Quantum Physics · Physics 2016-02-29 Federica Agostini , Seung Kyu Min , Ali Abedi , E. K. U. Gross

The rates and outcomes of virtually all photophysical and photochemical processes are determined by Conical Intersections. These are regions of degeneracy between electronic states on the nuclear landscape of molecules where electrons and…

Chemical Physics · Physics 2022-05-25 Daniel Keefer , Thomas Schnappinger , Regina de Vivie-Riedle , Shaul Mukamel

We review a scheme for the systematic design of quantum control protocols based on shortcuts to adiabaticity in few-level quantum systems. The adiabatic dynamics is accelerated by introducing high-frequency modulations in the control…

Quantum Physics · Physics 2024-02-08 Francesco Petiziol , Florian Mintert , Sandro Wimberger

We present a new method for realizing the adiabatic connection approach in density functional theory, which is based on combining accurate variational quantum Monte Carlo calculations with a constrained optimization of the ground state…

Materials Science · Physics 2015-06-25 Maziar Nekovee , W. M. C. Foulkes , A. J. Williamson , G. Rajagopal , R. J. Needs

The effect of nuclear dynamics and conical intersections on electronic coherences is investigated employing a two-state, two-mode linear vibronic coupling model. Exact quantum dynamical calculations are performed using the…

Chemical Physics · Physics 2018-08-22 Caroline Arnold , Oriol Vendrell , Ralph Welsch , Robin Santra

Quantum geometrical molecular dynamics provides a quantum geometric picture for understanding reactive dynamics, especially excited-state conical intersection dynamics, and also a numerically exact method for strongly correlated…

Chemical Physics · Physics 2026-01-26 Mo Sha , Bing Gu

The multi-channel Coulomb scattering problem in the adiabatic representation is considered. The non-adiabatic coupling matrix is assumed to have a non-zero asymptotic behavior at large internuclear separations. The asymptotic solutions at…

Atomic Physics · Physics 2020-01-09 S. L. Yakovlev , N. Elander

Recently it has been recognized that electronic conical intersections in molecular systems can be induced by laser light even in diatomics. As is known a direct consequence of these accidental degeneracies is the appearence of nonadiabatic…

Atomic and Molecular Clusters · Physics 2013-10-30 Gábor J. Halász , Ágnes Vibók , Nimrod Moiseyev , Lorenz S. Cederbaum

In this thesis, it is presented a set of results in adiabatic dynamics (closed and open system) and transitionless quantum driving that promote some advances in our understanding on quantum control and Hamiltonian inverse engineering. In…

Quantum Physics · Physics 2021-07-27 Alan C. Santos

Nonadiabatic dressed states of a quantum system interacting with an external electromagnetic field and the environment are presented. The relevant matrix elements within the specified states are found. A closed form expression of the…

Quantum Physics · Physics 2012-02-06 I. G. Koprinkov

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

We propose a novel extension of the standard coupled-channels framework for heavy-ion reactions in order to analyze fusion reactions at deep subbarrier incident energies. This extension simulates a smooth transition between the diabatic…

Nuclear Theory · Physics 2015-05-14 Takatoshi Ichikawa , Kouichi Hagino , Akira Iwamoto

Electronic friction and Langevin dynamics is a popular mixed quantum-classical method for simulating the nonadiabatic dynamics of molecules interacting with metal surfaces, as it can be computationally more efficient than fully quantum…

Chemical Physics · Physics 2024-06-06 Martin Mäck , Samuel L. Rudge , Michael Thoss

The Ehrenfest with collapse-to-a-block (TAB) molecular dynamics approach was recently introduced to allow accurate simulation of nonadiabatic dynamics on many electronic states. Previous benchmarking work has demonstrated it to be highly…

Chemical Physics · Physics 2024-11-20 Fangchun Liang , Benjamin G. Levine

The adiabatic approximation is a natural approach for the description of phenomena induced by low frequency laser radiation because the ratio of the laser frequency to the characteristic frequency of an atom or a molecule is a small…

Atomic Physics · Physics 2010-12-27 Denys Bondar

Diffraction phenomena usually can be formulated in terms of a potential that induces the redistribution of a wave's momentum. Using an atomic Bose-Einstein condensate coupled to the orbitals of a state-selective optical lattice, we…

Quantum Gases · Physics 2015-08-26 Jeremy Reeves , Ludwig Krinner , Michael Stewart , Arturo Pazmiño , Dominik Schneble

We simulate the dynamics of paramagnetic colloidal particles that are placed above a magnetic hexagonal pattern and exposed to an external field periodically changing its direction along a control loop. The conformation of three colloidal…

Soft Condensed Matter · Physics 2022-10-12 Adrian Ernst , Anna M. E. B. Rossi , Thomas M. Fischer