Jump-diffusion unravelling of a non-Markovian generalized Lindblad master equation

Algebraic Structure of a Master Equation with Generalized Lindblad Form

The quantum damped harmonic oscillator is described by the master equation with usual Lindblad form. The equation has been solved completely by us in arXiv : 0710.2724 [quant-ph]. To construct the general solution a few facts of representation theory based on the Lie algebra su(1, 1) were used. In this paper we treat a general model described by a master equation with generalized Lindblad form....

The Non-Markovian stochastic Schrödinger equation for the position unravelling

A Master Equation with Generalized Lindblad Form and a Unitary Transformation by the Squeezing Operator

In the preceding paper arXiv : 0802.3252 [quant-ph] we treated a model given by a master equation with generalized Lindblad form, and examined the algebraic structure related to some Lie algebras and constructed an approximate solution. In this paper we apply a unitary transformation by the squeezing operator to the master equation. Then the generalized Lindblad form is tranformed to the usual ...

Reaction rates for a generalized reaction-diffusion master equation.

It has been established that there is an inherent limit to the accuracy of the reaction-diffusion master equation. Specifically, there exists a fundamental lower bound on the mesh size, below which the accuracy deteriorates as the mesh is refined further. In this paper we extend the standard reaction-diffusion master equation to allow molecules occupying neighboring voxels to react, in contrast...

Generalized master equation with non-Markovian multichromophoric Förster resonance energy transfer for modular exciton densities.

A generalized master equation (GME) governing quantum evolution of modular exciton density (MED) is derived for large scale light harvesting systems composed of weakly interacting modules of multiple chromophores. The GME-MED offers a practical framework to incorporate real time coherent quantum dynamics calculations of small length scales into dynamics over large length scales, and also provid...