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By going beyond the Born-Oppenheimer approximation and treating the non-adiabatic coupling terms (NACTs) as equivalent to a frictional force in a molecular system, the classical equations of motion are solved for a test case of H3+. Using…

Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

Quantum Physics · Physics 2008-09-24 Gernot Schaller

Coupled cluster theory in the standard formulation is unable to correctly describe conical intersections among states of the same symmetry. This limitation has restricted the practical application of an otherwise highly accurate electronic…

Chemical Physics · Physics 2024-12-25 Federico Rossi , Eirik F. Kjønstad , Sara Angelico , Henrik Koch

Atomic nuclei can exhibit shape coexistence and multi-reference physics that enters in their ground states, and to accurately capture the ensuing correlations and entanglement is challenging. We address this problem by applying…

Nuclear Theory · Physics 2024-02-16 Z. H. Sun , G. Hagen , T. Papenbrock

In this paper, we present a novel explicit analytical solution for the normalized state equations of mutually-coupled simple chaotic systems. A generalized analytical solution is obtained for a class of simple nonlinear electronic circuits…

Chaotic Dynamics · Physics 2018-08-24 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

The motion of electrons and nuclei in photochemical events often involve conical intersections, degeneracies between electronic states. They serve as funnels for nuclear relaxation - on the femtosecond scale - in processes where the…

Chemical Physics · Physics 2017-08-14 Eirik F. Kjønstad , Henrik Koch

We derive a Hierarchical Equations of Motion (HEOM) description of nonadiabatic Herzberg-Teller type coupling effects and of non-Condon effects in a system of electronic transitions interacting with intra- and inter-molecular vibrational…

Chemical Physics · Physics 2018-12-26 Joachim Seibt , Tomáš Mančal

We express the high-frequency (anti-adiabatic) limit of the exchange-correlation kernels of an inhomogeneous electron gas in terms of the following equilibrium properties: the ground-state density, the kinetic stress tensor, the…

Strongly Correlated Electrons · Physics 2011-11-17 V. U. Nazarov , I. V. Tokatly , S. Pittalis , G. Vignale

We give a gauge description of the adiabatic charge pumping in closed systems, both in Abelian and non-Abelian processes, and by means of asymptotic Wilson loops in a suitable parameter manifold. Our geometric formulation provides new…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 R. Leone

Potential energy curves and matrix elements of radial non-adiabatic couplings of 2{\Sigma}+ and 2{\Pi} states of the NeH molecule are calculated using the electronic structure package MOLPRO, in view of the study of the reactive collisions…

Instrumentation and Methods for Astrophysics · Physics 2025-01-31 R. Hassaine , D. Talbi , R. P. Brady , J. Zs. Mezei , J. Tennyson , and Ioan F. Schneider

We develop a method based on the relativistic coupled-cluster theory to incorporate a perturbative interaction to the no-pair Dirac-Coulomb atomic Hamiltonian. The method is general and suitable to incorporate any perturbation Hamiltonian…

Atomic Physics · Physics 2012-09-06 S. Chattopadhyay , B. K. Mani , D. Angom

Fermi energies in fullerene compounds and cuprates are extremely small as consequence of the small number of charge carriers and are comparable to the phonon frequency scale. In this situation the conventional Migdal-Eliashberg theory does…

Superconductivity · Physics 2009-10-31 M. Botti , E. Cappelluti , C. Grimaldi , L. Pietronero

Cooling the trapped atoms toward their motional ground states is key to applications of quantum simulation and quantum computation. By utilizing nonreciprocal couplings between constituent atoms, we present an intriguing dark-state cooling…

Quantum Physics · Physics 2022-11-17 Chun-Che Wang , Yi-Cheng Wang , Chung-Hsien Wang , Chi-Chih Chen , H. H. Jen

Non-adiabatic quantum effects, often experimentally observed in semiconductors nano-devices such as single-electron pumps operating at high frequencies, can result in undesirable and uncontrollable behaviour. However, when combined with the…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Alan Gardin , Ross D. Monaghan , Tyler Whittaker , Rajib Rahman , Giuseppe C. Tettamanzi

The induced polarization of a beam of polar clusters or molecules passing through an electric or magnetic field region differs from the textbook Langevin-Debye susceptibility. This distinction, which is important for the interpretation of…

Atomic and Molecular Clusters · Physics 2008-07-09 J. Bulthuis , J. A. Becker , R. Moro , V. V. Kresin

We extend the rigorous adiabatic coupled-channel formalism to ultracold nonreactive atom-molecule collisions in the presence of an external magnetic field. The wavefunction of the collision complex is expanded in adiabatic basis states…

Chemical Physics · Physics 2025-12-01 Nathan S. Prins , Timur V. Tscherbul

Many-electron correlation methods offer a systematic approach to predicting material properties with high precision. However, practically attaining accurate ground-state properties for bulk metals presents significant challenges. In this…

Materials Science · Physics 2025-01-07 Tobias Schäfer

We present a coupled cluster and linear response theory to compute properties of many-electron systems at non-zero temperatures. For this purpose, we make use of the thermofield dynamics, which allows for a compact wavefunction…

Chemical Physics · Physics 2020-05-14 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

Adiabatic techniques are well known tools in multi-level electron systems to transfer population between different states with high fidelity. Recently it has been realised that these ideas can also be used in ultra-cold atom systems to…

Quantum Physics · Physics 2015-05-14 B. O'Sullivan , P. Morrissey , T. Morgan , Th. Busch

A novel mixed quantum-classical approach to simulating nonadiabatic dynamics of molecules at metal surfaces is presented. The method combines the numerically exact hierarchical equations of motion approach for the quantum electronic degrees…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Samuel L. Rudge , Christoph Kaspar , Robin L. Grether , Steffen Wolf , Gerhard Stock , Michael Thoss
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