Nonlinear dynamics of open quantum systems

Dynamics of Open Quantum Systems

Nonlinear semiclassical dynamics of open systems.

A semiclassical approximation for an evolving density operator, driven by a 'closed' Hamiltonian and 'open' Markovian Lindblad operators, is reviewed. The theory is based on the chord function, i.e. the Fourier transform of the Wigner function. It reduces to an exact solution of the Lindblad master equation if the Hamiltonian is a quadratic function and the Lindblad operators are linear functio...

Non-markovian Dynamics of Open Quantum Systems

Title of dissertation: NON-MARKOVIAN DYNAMICS OF OPEN QUANTUM SYSTEMS Chris H. Fleming, Doctor of Philosophy, 2011 Dissertation directed by: Professor Bei-Lok Hu Department of Physics An open quantum system is a quantum system that interacts with some environment whose degrees of freedom have been coarse grained away. This model describes non-equilibrium processes more general than scattering-m...

Dynamics and Control of Open Quantum Systems

Dynamics and Simulation of Open Quantum Systems

All systems are open to an essentially uncontrollable environment that acts as a source of decoherence and dissipation. In some cases the environment’s only effect is to add a weak relaxation mechanism and thus can be ignored for short timescales. In others, however, the presence of the environment can fundamentally alter the behavior of the system. Such is the case in mesoscopic superconductor...