Bloch-Redfield equations for modeling light-harvesting complexes

Abstract

We challenge the misconception that Bloch-Redfield equations are a less powerful tool than phenomenological Lindblad equations for modeling exciton transport in photosynthetic complexes. This view predominantly originates from an indiscriminate use of the secular approximation. We provide a detailed description of how to model both coherent oscillations and several types of noise, giving explicit examples. All issues with non-positivity are overcome by a consistent straightforward physical noise model. Herein also lies the strength of the Bloch-Redfield approach because it facilitates the analysis of noise-effects by linking them back to physical parameters of the noise environment. This includes temporal and spatial correlations and the strength and type of interaction between the noise and the system of interest. Finally we analyze a prototypical dimer system as well as a 7-site Fenna-Matthews-Olson (FMO) complex in regards to spatial correlation length of the noise, noise strength, temperature and their connection to the transfer time and transfer.

References in corpus (31)

• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Dephasing assisted transport: Quantum networks and biomolecules
• Environment-Assisted Quantum Transport
• Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
• Vibrations, Quanta and Biology
• Efficient simulation of strong system-environment interactions
• Role of quantum coherence in chromophoric energy transport
• Efficient energy transfer in light-harvesting systems, I: optimal temperature, reorganization energy, and spatial-temporal correlations
• Long-Lived Electronic Coherence in Dissipative Exciton-Dynamics of Light-Harvesting Complexes
• Decoherence of quantum registers
• Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
• Limits of quantum speedup in photosynthetic light harvesting
• Quantum coherent biomolecular energy transfer with spatially correlated fluctuations
• Origin of long-lived oscillations in 2D-spectra of a Quantum Vibronic Model: Electronic vs Vibrational coherence
• Non-Markovian Quantum Jumps in Excitonic Energy Transfer
• Electronic excitation dynamics in multichromophoric systems described via a polaron-representation master equation
• Dissipation and Decoherence in a Quantum Register
• Quantum State Tuning of Energy Transfer in a Correlated Environment
• Staying positive: going beyond Lindblad with perturbative master equations
• An efficient method to calculate excitation energy transfer in light harvesting systems. Application to the FMO complex
• Environmental correlation effects on excitation energy transfer in photosynthetic light harvesting
• Quantum metrology in the presence of spatially correlated noise: Restoring Heisenberg scaling
• Efficient estimation of energy transfer efficiency in light-harvesting complexes
• Decoherence assisted transport in a dimer system
• Derivation of Markovian master equations for spatially correlated decoherence
• Decoherence-assisted transport in quantum networks
• Equivalence between Redfield and master equation approaches for a time-dependent quantum system and coherence control
• Stochastic Bloch-Redfield theory: quantum jumps in a solid-state environment
• Excitation- and state-transfer through spin chains in the presence of spatially correlated noise
• Constrained geometric dynamics of the Fenna-Matthews-Olson complex: The role of correlated motion in reducing uncertainty in excitation energy transfer
• Dual-probe decoherence microscopy: Probing pockets of coherence in a decohering environment

Cited by in corpus (66)

• Testing the validity of the local and global GKLS master equations on an exactly solvable model
• Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
• Criticality-Enhanced Quantum Sensing via Continuous Measurement
• Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
• Open quantum system dynamics and the mean force Gibbs state
• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
• Accurate Lindblad-Form Master Equation for Weakly Damped Quantum Systems Across All Regimes
• Weak and ultrastrong coupling limits of the quantum mean force Gibbs state
• A thermodynamically consistent Markovian master equation beyond the secular approximation
• Atom-only descriptions of the driven-dissipative Dicke model
• Fundamental limits to frequency estimation: A comprehensive microscopic perspective
• Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation
• Bath induced coherence and the secular approximation
• Steady-state entanglement and coherence of the coupled qubit system in equilibrium and nonequilibrium environments
• Modified Bloch-Redfield Master Equation for Incoherent Excitation of Multilevel Quantum Systems
• Symmetry and block structure of the Liouvillian superoperator in partial secular approximation
• Spatial dynamics, thermalization, and gain clamping in a photon condensate
• Local master equations bypass the secular approximation
• When do weak-coupling approaches accurately capture the dynamics of complex quantum systems?
• Environmental engineering for quantum energy transport
• The interplay between local and non-local master equations: exact and approximated dynamics
• Quantum Energy Lines and the optimal output ergotropy problem
• Stochastic unraveling of positive quantum dynamics
• Going beyond Local and Global approaches for localized thermal dissipation
• Atom-only theories for U(1) symmetric cavity-QED models
• Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion
• Coherent quantum dynamics launched by incoherent relaxation in a quantum circuit simulator of a light-harvesting complex
• Quantifying Spatial Correlations of General Quantum Dynamics
• Quantum metrology with one auxiliary particle in a correlated bath and its quantum simulation
• Taming the Bloch-Redfield equation: Recovering an accurate Lindblad equation for general open quantum systems
• Polariton Enhanced Free Charge Carrier Generation in Donor-Acceptor Cavity Systems by a Second-Hybridization Mechanism
• Signatures of spatially correlated noise and non-secular effects in two-dimensional electronic spectroscopy
• Enhancing energy transfer in quantum systems via periodic driving: Floquet master equations
• Influence of equilibrium and nonequilibrium environments on macroscopic realism through the Leggett-Garg inequalities
• Quantum master equation for many-body systems: Derivation based on the Lieb-Robinson bound
• Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials
• Intermediate Times Dilemma for Open Quantum System: Filtered Approximation to The Refined Weak Coupling Limit
• Environmentally Induced Entanglement -- Anomalous Behavior in the Adiabatic Regime
• Long-lived quantum coherent dynamics of a $\Lambda$-system driven by a thermal environment
• From Goldilocks to Twin Peaks: multiple optimal regimes for quantum transport in disordered networks
• Dynamics of the Non-equilibrium spin Boson Model: A Benchmark of master equations and their validity
• Geometry-based circulation of local thermal current in quantum harmonic and Bose Hubbard systems
• Localisation determines the optimal noise rate for quantum transport
• Simulation of non-radiative energy transfer in photosynthetic systems using a quantum computer
• Dissipative stabilization of maximal entanglement between non-identical emitters via two-photon excitation
• Local generation of entanglement with Redfield dynamics
• The effects of thermal and correlated noise on magnons in a quantum ferromagnet
• Energetics of Fano coherence generation
• Tutorial: projector approach to master equations for open quantum systems
• Minimalistic analytical approach to non-Markovian open quantum systems
• Vacuum-field-induced state mixing
• Leveraging collective effects for thermometry in waveguide quantum electrodynamics
• Single-qubit probes for temperature estimation in the presence of collective baths
• Coherence protection in coupled quantum systems
• Optimisation of ultrafast singlet fission in 1D rings towards unit efficiency
• Non-Markovianity between site-pairs in FMO complex using discrete-time quantum jump model
• Pointer States in the Born-Markov approximation
• Numerical implementation of the partial secular approximation and unified master equation in structured open quantum systems
• Preserving fermionic statistics for single-particle approximations in microscopic quantum master equations
• Open Wilson chain numerical renormalization group approach to Green's functions
• Exciton transport in amorphous polymers and the role of morphology and thermalisation
• Open quantum systems beyond equilibrium: Lindblad equation and path integral molecular dynamics
• Quantum Teleportation in Non-equilibrium Environments and Fixed-point Fidelity
• Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems
• Quantum Energy Teleportation under Equilibrium and Nonequilibrium Environments