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We present a means of studying rare reactive pathways in open quantum systems using Transition Path Theory and ensembles of quantum jump trajectories. This approach allows for elucidation of reactive paths for dissipative, nonadiabatic…

Chemical Physics · Physics 2022-11-09 Michelle C. Anderson , Addison J. Schile , David T. Limmer

Nuclear Berry curvature effects emerge from electronic spin degeneracy and canlead to non-trivial spin-dependent (nonadiabatic) nuclear dynamics. However, such effects are completely neglected in all current mixed quantum-classical methods…

Chemical Physics · Physics 2022-08-29 Xuezhi Bian , Yanze Wu , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

We investigate a simple and robust scheme for choosing the phases of adiabatic electronic states smoothly (as a function of geometry) so as to maximize the performance of ab initio non-adiabatic dynamics methods. Our approach is based upon…

Chemical Physics · Physics 2019-09-26 Zeyu Zhou , Zuxin Jin , Tian Qiu , Andrew M. Rappe , Joseph Eli Subotnik

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

We present a method to study rare nonadiabatic dynamics in open quantum systems using transition path sampling and quantum jump trajectories. As with applications of transition path sampling to classical dynamics, the method does not rely…

Statistical Mechanics · Physics 2021-12-08 Addison J. Schile , David T. Limmer

While surface-hopping has emerged as a powerful method to simulate non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in the algorithm somewhat reduces its…

Chemical Physics · Physics 2024-01-17 Lucien Dupuy , Anton Rikus , Neepa T. Maitra

We study topological transport in the steady state of a quantum particle hopping on a one-dimensional lattice in the presence of dissipation. The model exhibits a rich phase structure, with the average particle velocity in the steady state…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Michael J. Kastoryano , Mark S. Rudner

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 study time-dependent coupled-cluster theory in the framework of nuclear physics. Based on Kvaal's bi-variational formulation of this method [S. Kvaal, arXiv:1201.5548], we explicitly demonstrate that observables that commute with the…

Nuclear Theory · Physics 2012-07-04 D. A. Pigg , G. Hagen , H. Nam , T. Papenbrock

A general theoretical framework is derived for the recently developed multi-state trajectory (MST) approach from the time dependent Schr\"odinger equation, resulting in equations of motion for coupled nuclear-electronic dynamics equivalent…

Chemical Physics · Physics 2017-09-13 Guohua Tao

We propose an approximate method for evaluating the importance of non-Born-Oppenheimer effects on the quantum dynamics of nuclei. The method uses a generalization of the dephasing representation (DR) of quantum fidelity to several diabatic…

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

We study the counterpart to the multi-photon down conversion in the quantised motion of a trapped atom. The Lamb-Dicke approximation leads to a divergence of the mean motional excitation in a finite interaction time for k-quantum down…

Quantum Physics · Physics 2016-09-08 S. Wallentowitz , W. Vogel , P. L. Knight

Coupled trajectory mixed quantum classical (CTMQC) dynamics is a rigorous approach to trajectory-based non-adiabatic dynamics, which has recently seen an improvement to energy conservation via the introduction of the CTMQC-E algorithm.…

Quantum Physics · Physics 2023-10-12 Aaron Dines , Matthew Ellis , Jochen Blumberger

We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and rotational states of well-defined parity. The trapping potential arises due to the…

Mathematical Physics · Physics 2026-03-05 Yurij Yaremko , Maria Przybylska , Andrzej J. Maciejewski

An approach to the quantum-classical mechanics of phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields. Such wave fields obey a system of coupled non-linear equations that can be…

Quantum Physics · Physics 2007-05-23 Alessandro Sergi

The exact factorization of the time-dependent electron-nuclear wavefunction has been employed successfully in the field of quantum molecular dynamics simulations for interpreting and simulating light-induced ultrafast processes. In this…

Chemical Physics · Physics 2021-09-29 Federica Agostini , E. K. U. Gross

The nuclear time-dependent density functional theory (TDDFT) is a tool of choice for describing various dynamical phenomena in atomic nuclei. In a recent study, we reported an extension of the framework - the multiconfigurational TDDFT…

Nuclear Theory · Physics 2024-01-24 Petar Marević , David Regnier , Denis Lacroix

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

Materials Science · Physics 2009-02-07 Vinod Krishna

We present quantum electron transport theory that incorporates dynamical effects of motion of atoms on electrode-molecule interfaces in the calculations of the electric current. The theory is based on non-equilibrium Green's functions. We…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Vincent F. Kershaw , Daniel S. Kosov

The physics of critical phenomena in a many-body system far from thermal equilibrium is an interesting and important issue to be addressed both experimentally and theoretically. The trapped cold atoms have been actively used as a clean and…

Atomic Physics · Physics 2017-09-13 Geol Moon , Myoung-Sun Heo , Yonghee Kim , Heung-Ryoul Noh , Wonho Jhe