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The quantum-classical Liouville equation offers a rigorous approach to nonadiabatic quantum dynamics based on surface hopping type trajectories. However, in practice the applicability of this approach has been limited to short times owing…

Chemical Physics · Physics 2015-06-16 Aaron Kelly , Thomas E. Markland

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

We consider an implementation of the adiabatic spin dynamics approach in a tight-binding description of the electronic structure. The adiabatic approximation for spin-degrees of freedom assumes that the faster electronic degrees of freedom…

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

We present a state-space-based path integral method to calculate the rate of electron transfer (ET) in multi-state, multi-electron condensed-phase processes. We employ an exact path integral in discrete electronic states and continuous…

Chemical Physics · Physics 2016-06-07 Jessica Ryan Duke , Nandini Ananth

We study dynamics of a two-color photoassociation of atoms into diatomic molecules via nonlinear Stimulated Raman adiabatic passage (STIRAP) process. This system has a famous counterpart in (linear) quantum mechanics, and been discussed…

Other Condensed Matter · Physics 2007-12-13 A. P. Itin , S. Watanabe

Accurate description of nonadiabatic dynamics of molecules at metal surfaces involving electron transfer has been a longstanding challenge for theory. Here, we tackle this problem by first constructing high-dimensional neural network…

Materials Science · Physics 2024-01-05 Gang Meng , James Gardner , Wenjie Dou , Reinhard J. Maurer , Bin Jiang

The localized states within the Heisenberg model of magnetism should be represented by best localized Wannier functions forming a unitary transformation of the Bloch functions of the narrowest partly filled energy bands in the metals.…

Superconductivity · Physics 2009-10-31 Ekkehard Krüger

When clustering molecular dynamics (MD) trajectories into a few metastable conformational states, the Markov state models (MSMs) assumption of timescale separation between fast intrastate fluctuations and rarely occurring interstate…

Soft Condensed Matter · Physics 2025-01-17 Sofia Sartore , Franziska Teichmann , Gerhard Stock

Multi-dimensional spectroscopy represents a particularly insightful tool for investigating the interplay of nuclear and electronic dynamics, which plays an important role in a number of photophysical processes and photochemical reactions.…

Quantum Physics · Physics 2022-07-26 Frank Ernesto Quintela Rodriguez , Filippo Troiani

Rare nonadiabatic reactions are a key component of many important molecular processes but are challenging to capture with direct dynamical simulations. In this paper, we combine our recently developed mapping approach to surface hopping…

Chemical Physics · Physics 2026-03-19 Danial Ghamari , Jeremy O. Richardson

Mouse-tracking recording techniques are becoming very attractive in experimental psychology. They provide an effective means of enhancing the measurement of some real-time cognitive processes involved in categorization, decision-making, and…

Applications · Statistics 2019-12-18 Antonio Calcagnì , Luigi Lombardi , Marco D'Alessandro

Using a generalized energy-conserving transition probability, it is shown how nonadiabatic calculations, within the Wigner-Heisenberg representation of quantum mechanics, can be reliably extended to far longer times than those allowed by a…

Quantum Physics · Physics 2010-07-16 Daniel A. Uken , Alessandro Sergi , Francesco Petruccione

Nonadiabatic transition dynamics lies at the core of many electron/hole transfer, photoactivated, and vacuum field-coupled processes. About a century after Ehrenfest proposed "Phasenraum" and the Ehrenfest theorem, we report a conceptually…

Quantum Physics · Physics 2024-04-09 Baihua Wu , Xin He , Jian Liu

Adiabatic techniques using multi-level systems have recently been generalised from the optical case to settings in atom optics, solid state and even classical electrodynamics. The most well known example of these is the so called STIRAP…

Quantum Physics · Physics 2010-07-23 S. McEndoo , S. Croke , J. Brophy , Th. Busch

We review recent developments in the theory of interacting quantum many-particle systems that are not in equilibrium. We focus mainly on the nonequilibrium generalizations of the flow equation approach and of dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2010-06-16 M. Eckstein , A. Hackl , S. Kehrein , M. Kollar , M. Moeckel , P. Werner , F. A. Wolf

Shortcuts to adiabaticity (STA) are fast methods to realize the same final state evolution of quantum adiabatic process. We develop a general theory to construct a new kind of STA by solely sampling the points of the adiabatic path of the…

Quantum Physics · Physics 2023-02-14 Yiyao Liu , Zhen-Yu Wang

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…

Adiabatic Quantum Computing relies on the quantum adiabatic theorem, which states that a quantum system evolves along its ground state with time if the governing Hamiltonian varies infinitely slowly. However, practical limitations force…

We study shortcuts to adiabaticity (STAs) through counterdiabatic driving in quantum critical systems in the presence of dissipation. We evaluate unitary as well as nonunitary controls, such that the system density matrix follows a…

Statistical Mechanics · Physics 2025-02-06 Shishira Mahunta , Victor Mukherjee