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We address the issues of decoherence, frustrated hops and internal consistency in surface hopping. We demonstrate that moving away from an independent-trajectory picture is the strategy which allows us to propose a robust surface hopping…

Chemical Physics · Physics 2025-09-01 Lea M. Ibele , Eduarda Sangiogo Gil , Peter Schürger , Rodrigue Noc , Federica Agostini

Inferring cellular trajectories from destructive snapshots is complicated by the challenges of stochasticity and non-conservative mass dynamics such as cell proliferation and apoptosis. Existing unbalanced Optimal Transport (OT) methods…

Machine Learning · Computer Science 2026-05-04 Junda Ying , Yuxuan Wang , Bowen Yang , Peijie Zhou , Lei Zhang

In double quantum dots, the exchange interaction between two electron spins renormalizes the excitation energy of pair-flips in the nuclear spin bath, which in turn modifies the non-Markovian bath dynamics. As the energy renormalization…

Mesoscale and Nanoscale Physics · Physics 2008-03-07 W. Yang , R. B. Liu

We study non--adiabatic transitions in scattering theory for the time dependent molecular Schroedinger equation in the Born--Oppenheimer limit. We assume the electron Hamiltonian has finitely many levels and consider the propagation of…

Mathematical Physics · Physics 2009-11-10 G. A. Hagedorn , A. Joye

We propose to measure the importance of spin-orbit couplings (SOCs) in the nonadiabatic molecular quantum dynamics rigorously with quantum fidelity. To make the criterion practical, quantum fidelity is estimated efficiently with the…

Chemical Physics · Physics 2013-01-15 Tomas Zimmermann , Jiri Vanicek

We present measurements of the Berry Phase in a single solid-state spin qubit associated with the nitrogen-vacancy center in diamond. Our results demonstrate the remarkable degree of coherent control achievable in the presence of a highly…

Mesoscale and Nanoscale Physics · Physics 2015-04-13 Kai Zhang , Naufer M. Nusran , Bradley R. Slezak , M. V. Gurudev Dutt

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

Accurate simulation of the non-adiabatic dynamics of molecules in excited electronic states is key to understanding molecular photo-physical processes. Here we present a novel method, based on a semiclassical approximation, that is as…

Chemical Physics · Physics 2016-05-24 Alexander White , Sergei Tretiak , Dmitry Mozyrsky

Non-adiabatic molecular dynamics (NAMD) has become an essential computational technique for studying the photophysical relaxation of molecular systems after light absorption. These phenomena require approximations that go beyond the…

Excited-state molecular dynamics (ESMD) simulations near conical intersections (CIs) pose significant challenges when using machine learning potentials (MLPs). Although MLPs have gained recognition for their integration into mixed…

Chemical Physics · Physics 2025-01-17 Sung Wook Moon , Soohaeng Yoo Willow , Tae Hyeon Park , Seung Kyu Min , Chang Woo Myung

We show how a driven-dissipative cavity coupled to a collective ensemble of atoms can dynamically generate metrologically useful spin-squeezed states. In contrast to other dissipative approaches, we do not rely on complex engineered…

The interaction between electronic and vibrational degrees of freedom in single-molecule junctions may result from the dependence of the electronic energies or the electronic states of the molecular bridge on the nuclear displacement. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. Erpenbeck , R. Härtle , M. Thoss

A surface-hopping algorithm recently derived from the exact factorization approach, SHXF, [Ha, Lee, Min, J. Phys. Chem. Lett. 9, 1097 (2018)] introduces an additional term in the electronic equation of surface-hopping, which couples…

Chemical Physics · Physics 2022-02-08 Patricia Vindel-Zandbergen , Spiridoula Matsika , Neepa T. Maitra

We generalize the quasi-diabatic (QD) propagation scheme to simulate the non-adiabatic polariton dynamics in molecule-cavity hybrid systems. The adiabatic-Fock states, which are the tensor product states of the adiabatic electronic states…

Quantum Physics · Physics 2022-11-30 Deping Hu , Arkajit Mandal , Braden M. Weight , Pengfei Huo

We use a simple iterative perturbation theory to study the singlet-triplet (ST) transition in lateral and vertical quantum dots, modeled by the non-equilibrium two-level Anderson model. To a great surprise, the region of stable perturbation…

Strongly Correlated Electrons · Physics 2011-11-24 Bertalan Horváth , Bence Lazarovits , Gergely Zaránd

We present a novel quantum-classical approach to non-adiabatic dynamics, deduced from the coupled electronic and nuclear equations in the framework of the exact factorization of the electron-nuclear wave function. The method is based on the…

Chemical Physics · Physics 2015-08-19 Seung Kyu Min , Federica Agostini , E. K. U. Gross

In this paper a formalism for studying the dynamics of quantum systems coupled to classical spin environments is reviewed. The theory is based on generalized antisymmetric brackets and naturally predicts open-path off-diagonal geometric…

Quantum Physics · Physics 2016-10-21 Alessandro Sergi

Adding a Rashba term to the Hubbard Hamiltonian produces a model which can be used to learn how spin-orbit interactions impact correlated electrons on a lattice. Previous works have studied such a model using a variety of theoretical…

Strongly Correlated Electrons · Physics 2023-09-04 Erik Wegner Hodt , Jabir Ali Ouassou , Jacob Linder

We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized…

Quantum Physics · Physics 2020-06-12 C. A. Estrada Guerra , J. Mahecha-Gómez , J. G. Hirsch

We introduce a computational framework for simulating non-adiabatic vibronic dynamics on circuit quantum electrodynamics (cQED) platforms. Our approach leverages hybrid oscillator-qubit quantum hardware with mid-circuit measurements and…

Quantum Physics · Physics 2025-10-27 Nam P. Vu , Daniel Dong , Xiaohan Dan , Ningyi Lyu , Victor Batista , Yuan Liu