Exact quantum master equation for a molecular aggregate coupled to a harmonic bath
arXiv:1204.2482 · doi:10.1103/PhysRevE.84.041139
Abstract
We consider a molecular aggregate consisting of identical monomers. Each monomer comprises two electronic levels and a single harmonic mode. The monomers interact with each other via dipole-dipole forces. The monomer vibrational modes are bilinearly coupled to a bath of harmonic oscillators. This is a prototypical model for the description of coherent exciton transport, from quantum dots to photosynthetic antennae. We derive an exact quantum master equation for such systems. Computationally, the master equation may be useful for the testing of various approximations employed in theories of quantum transport. Physically, it offers a plausible explanation of the origins of long-lived coherent optical responses of molecular aggregates in dissipative environments.
References in corpus (24)
- Decoherence Free Subspaces for Quantum Computation
- Long-lived quantum coherence in photosynthetic complexes at physiological temperature
- Molecular Transport Junctions: Vibrational Effects
- Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
- Markovian Master Equations: A Critical Study
- Entanglement and entangling power of the dynamics in light-harvesting complexes
- Exact time evolution and master equations for the damped harmonic oscillator
- Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
- Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
- Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
- Quantum coherent biomolecular energy transfer with spatially correlated fluctuations
- Alternative Derivation of the Hu-Paz-Zhang Master Equation for Quantum Brownian Motion
- Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
- Strong friction limit in quantum mechanics: the Quantum Smoluchowski equation
- Quantum State Tuning of Energy Transfer in a Correlated Environment
- Environmental correlation effects on excitation energy transfer in photosynthetic light harvesting
- Thermodynamics of a subensemble of a canonical ensemble
- Non-Markovian quantum state diffusion for absorption spectra of molecular aggregates
- On the conundrum of deriving exact solutions from approximate master equations
- Correlated fluctuations in the exciton dynamics and spectroscopy of DNA
- Engineering directed excitonic energy transfer
- Input and output in damped quantum systems III: Formulation of damped systems driven by Fermion fields
- Quantum Brownian Motion of a Macroscopic Object in a General Environment
- Asymptotic non-equilibrium steady state operators