Dynamical transitions in Markovian exciton transport
arXiv:1302.4909 · doi:10.1088/1367-2630/15/8/083056
Abstract
The large deviation theory has recently been applied to open quantum systems to uncover dynamical crossovers in the space of quantum trajectories associated to Markovian evolutions. Such dynamical crossovers are characterized by qualitative changes in the fluctuations of rare quantum jump trajectories, and have been observed in the statistics of coherently driven quantum systems. In this article we investigate the counting statistics of rare quantum trajectories of an undriven system undergoing a pure relaxation process, namely, Markovian exciton transport. We find that dynamical crossovers occur in systems with a minimum of three interacting molecules, and are strongly activated by exciton delocalization and interference. Our results illustrate how quantum features of the underlying system Hamiltonian can influence the statistical properties of energy transfer processes in a non-trivial manner.
15 pages, 3 figures, Accepted for publication in NJP
References in corpus (10)
- The large deviation approach to statistical mechanics
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Genuine quantum trajectories for non-Markovian processes
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Full counting statistics of nano-electromechanical systems
- Quantum jumps and entropy production
- Thermodynamics of Quadrature Trajectories in Open Quantum Systems
- Thermodynamic formalism for dissipative quantum walks
- Thermodynamics of quantum jump trajectories in systems driven by classical fluctuations