Hierarchical quantum master equation approach to vibronic reaction dynamics at metal surfaces
arXiv:1909.08923 · doi:10.1063/1.5128206
Abstract
A novel quantum dynamical method to simulate vibronic reaction dynamics in molecules at metal surfaces is proposed. The method is based on the hierarchical quantum master equation approach and uses a discrete variable representation of the nuclear degrees of freedom in combination with complex absorbing potentials and an auxiliary source term. It provides numerically exact results for a range of models. By taking the coupling to the continuum of electronic states of the surface properly into account, nonadiabatic processes can be described and the effect of electronic friction is included in a nonperturbative and non-Markovian way. Illustrative application to models for desorption of a molecule at a surface and current-induced bond rupture in single-molecule junctions demonstrate the performance and versatility of the method.
6 pages, 5 figures
References in corpus (7)
- Kinetic Equations for Transport Through Single-Molecule Transistors
- Hierarchical Quantum Master Equation Approach to Electronic-Vibrational Coupling in Nonequilibrium Transport through Nanosystems
- Current-induced atomic dynamics, instabilities, and Raman signals: Quasi-classical Langevin equation approach
- Mode specific electronic friction in dissociative chemisorption on metal surfaces: H on Ag(111)
- Removing instabilities in the hierarchical equations of motion: exact and approximate projection approaches
- Out-of-equilibrium catalysis of chemical reactions by electronic tunnel currents
- Vibrational Relaxation at a Metal Surface: Electronic Friction Versus Classical Master Equations
Cited by in corpus (17)
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Current-induced atomic motion, structural instabilities, and negative temperatures on molecule-electrode interfaces in electronic junctions
- Current-induced dissociation in molecular junctions beyond the paradigm of vibrational heating: The role of anti-bonding electronic states
- Unraveling current-induced dissociation mechanisms in single-molecule junctions
- Assessing mixed quantum-classical molecular dynamics methods for nonadiabatic dynamics of molecules on metal surfaces
- Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
- Quasiclassical approaches to the generalized quantum master equation
- Nonequilibrium reaction rate theory: Formulation and implementation within the hierarchical equations of motion approach
- Efficient implementation and performance analysis of the independent electron surface hopping method for dynamics at metal surfaces
- Non-Adiabatic Effects of Nuclear Motion in Quantum Transport of Electrons: A Self-Consistent Keldysh-Langevin Study
- Discretized hierarchical equations of motion in mixed Liouville--Wigner space for two-dimensional vibrational spectroscopies of liquid water
- Current-induced bond rupture in single-molecule junctions: Effects of multiple electronic states and vibrational modes
- Emergence of negative viscosities and colored noise under current-driven Ehrenfest molecular dynamics
- Electronic Friction Near Metal Surface: Incorporating Nuclear Quantum Effect with Ring Polymer Molecular Dynamics
- Stochastic Schrödinger equation approach to real-time dynamics of Anderson-Holstein impurities: an open quantum system perspective