Flows in non-equilibrium quantum systems and quantum photosynthesis

Abstract

A three level quantum system interacting with nonequilibrium environment is investigated. The stationary state of the system is found (both for non-coherent and coherent environment) and relaxation and decoherence to the stationary state is described. The stationary state of the system will be non-equilibrium and will generate flows. We describe the dependence of the flows on the state of the environment.We also discuss application of this model to the problem of quantum photosynthesis, in particular, to description of flows of excitons and generation of excitonic coherences.

Non-Markovian Evolution of Multi-level System Interacting with Several Reservoirs. Exact and Approximate

“…i.e. each level interacts only with its own reservoir and the functions g k (called the form factors [40]) are the same for all reservoirs. Let us note that from the physical point of view such a Hamiltonian assumes that the dipole approximation (the only terms which are linear in creation and annihilation operators involved in the Hamiltonian) and the rotating wave approximation (the terms of the form |i 0| ⊗ b † k,i are absent) are justified.…”

Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser

“…If the obtained solution is not equal to zero identically and the matrix L has corank one (which holds for generic case), we will obtain a general form of the stationary state in absence of vibrones s = 0. The normalization condition ρ 22 + ρ 11 + ρ 00 = 1 gives the solution (17), (18), (19), (20) for the stationary state.…”

“…For the above stationary state (17), (18), (19), (20) we get for the flow of excitons to the sink (taking in account β ph = β sink )…”

“…We get the following recipe for description of the stationary state: the diagonal matrix elements of the stationary density matrix have the form (17), (18), (19), (20) where the following transformations were made…”

“…In [16], [17], [18], [19], [20] nonequilibrium quantum dissipative dynamics of the stochastic limit method for quantum theory was applied to modeling of quantum photosynthesis. Manipulations by quantum states and application to quantum computations and quantum control were considered in [17], [20], [21], [22].…”