Progress towards an effective non-Markovian description of a system interacting with a bath
arXiv:1502.03668 · doi:10.1103/PhysRevA.91.042130
Abstract
We analyze a system coupled to a bath of independent harmonic oscillators. We transform the bath in chain structure by solving an inverse eigenvalue problem. We solve the equations of motion for the collective variables defined by this transformation, and we derive the exact dynamics for an harmonic oscillator in terms of the microscopic motion of the environmental modes. We compare this approach to the well-known Generalized Langevin Equation and we show that our dynamics satisfies this equation.
References in corpus (5)
- Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
- Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
- Universal Markovian reduction of Brownian particle dynamics
- Non-Markovian polymer reaction kinetics
- Light-induced current in molecular junctions: Local field and non-Markov effects