Extending Non-Perturbative Simulation Techniques for Open-Quantum Systems to Excited-State Proton Transfer and Ultrafast Non-Adiabatic Dynamics
arXiv:2405.08693 · doi:10.1021/acs.jctc.4c00666
Abstract
Excited state proton transfer is an ubiquitous phenomenon in biology and chemistry, spanning from the ultrafast reactions of photo-bases and acids to light-driven, enzymatic catalysis and photosynthesis. However, the simulation of such dynamics involves multiple challenges, since high-dimensional, out-of-equilibrium vibronic states play a crucial role, while a fully quantum description of the proton's dissipative, real-space dynamics is also required. In this work, we extend the powerful Matrix Product State approach to open quantum systems (TEDOPA) to study these demanding dynamics, and also more general non-adiabatic processes that can appear in complex photochemistry subject to strong laser driving. As an illustration, we initially consider an open model of a four-level electronic system interacting with hundreds of intramolecular vibrations that drive ultrafast excited state proton transfer, as well as an explicit photonic environment that allows us to directly monitor the resulting dual fluorescence in this system. We then demonstrate how to include a continuous 'reaction coordinate' of the proton transfer that allows numerically exact simulations that can be understood, visualized and interpreted in the familiar language of diabatic and adiabatic dynamics on potential surfaces, while also retaining an exact quantum treatment of dissipation and driving effects that could be used to study diverse problems in ultrafast photochemistry.
arXiv comment55 pages, 18 figures and supporting information
References in corpus (28)
- The density-matrix renormalization group in the age of matrix product states
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Unifying time evolution and optimization with matrix product states
- Time-evolution methods for matrix-product states
- Efficient simulation of strong system-environment interactions
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
- Time integration of tensor trains
- Time evolution algorithms for Matrix Product States and DMRG
- Universal Markovian reduction of Brownian particle dynamics
- Time Dependent Variational Principle with Ancillary Krylov Subspace
- Tensor Network Algorithms: a Route Map
- Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution
- Breaking the entanglement barrier: Tensor network simulation of quantum transport
- Ultrafast dynamics in the vicinity of quantum light-induced conical intersections
- Quantum dynamics in photonic crystals
- Tensor Network simulation of polaron-polaritons in organic microcavities
- A tensor network view of multilayer multiconfiguration time-dependent Hartree methods
- Systematic coarse-graining of environments for the non-perturbative simulation of open quantum systems
- Survey of the Hierarchical Equations of Motion in Tensor-Train format for non-Markovian quantum dynamics
- Direct Experimental Determination of Spectral Densities of Molecular Complexes
- MPSDynamics.jl: Tensor network simulations for finite-temperature (non-Markovian) open quantum system dynamics
- Excitation dynamics in chain-mapped environments
- Photochemical Initiation of Polariton Propagation
- Ultrafast modulation of vibrational polaritons for controlling the quantum field statistics at mid-infrared frequencies
- From Non-Markovian Dissipation to Spatiotemporal Control of Quantum Nanodevices
- Thermal cycle and polaron formation in structured bosonic environments
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