Simulating conical intersection dynamics in the condensed phase with hybrid quantum master equations

Abstract

We present a framework for simulating relaxation dynamics through a conical intersection of an open quantum system that combines methods to approximate the motion of degrees of freedom with disparate time and energy scales. In the vicinity of a conical intersection, a few degrees of freedom render the nuclear dynamics nonadiabatic with respect to the electronic degrees of freedom. We treat these strongly coupled modes by evolving their wavepacket dynamics in the absence of additional coupling exactly. The remaining weakly coupled nuclear degrees of freedom are partitioned into modes that are fast relative to the nonadiabatic coupling and those that are slow. The fast degrees of freedom can be traced out and treated with second-order perturbation theory in the form of the time-convolutionless master equation. The slow degrees of freedom are assumed to be frozen over the ultrafast relaxation, and treated as sources of static disorder. In this way, we adopt the recently developed frozen-mode extension to second-order quantum master equations. We benchmark this approach to numerically exact results in models of pyrazine internal conversion and rhodopsin photoisomerization. We use this framework to study the dependence of the quantum yield on the reorganization energy and the characteristic timescale of the bath, in a two-mode model of photoisomerization. We find that the yield is monotonically increasing with reorganization energy for a Markovian bath, but monotonically decreasing with reorganization energy for a non-Markovian bath. This reflects the subtle interplay between dissipation and decoherence in conical intersection dynamics in the condensed phase.

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Cited by in corpus (9)

• A unification of the Holstein polaron and dynamic disorder pictures of charge transport in organic semiconductors
• Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations
• Observation of wave-packet branching through an engineered conical intersection
• Vibronic coupling in energy transfer dynamics and two-dimensional electronic-vibrational spectra
• Coupled charge and energy transfer dynamics in light harvesting complexes from a hybrid hierarchical equations of motion approach
• Exciton Transfer Using Rates Extracted From the "Hierarchical Equations of Motion''
• Quantum dissipative systems beyond the standard harmonic model: features of linear absorption and dynamics
• Nonadiabatic transition paths from quantum jump trajectories
• Photoisomerization-coupled electron transfer