Open quantum systems approach to atomtronics

Perturbative approach to Markovian open quantum systems

The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master e...

Time-dependent approach to electron pumping in open quantum systems

G. Stefanucci,1,2,* S. Kurth,1,2 A. Rubio,2,3 and E. K. U. Gross1,2 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany 2European Theoretical Spectroscopy Facility (ETSF), Departamento de Física de Materiales, Universidad del País Vasco, Edificio Korta, 20018 San Sebastian, Spain 3Departamento de Física de Materiales, Facultad de Ciencias Químicas...

From open quantum systems to open quantum maps

In this paper we show that for a class of open quantum systems satisfying a natural dynamical assumption (see §2.2) the study of the resolvent, and hence of scattering, and of resonances, can be reduced, in the semiclassical limit, to the study of open quantum maps, that is of finite dimensional quantizations of canonical relations obtained by truncation of symplectomorphisms derived from the c...

Open Quantum System Studies of Optical Lattices and Nonlinear Optical Cavities: A Comprehensive Development of Atomtronics

open quantum systems

Quantum mechanics must be regarded as open systems. On one hand, this is due to the fact that, like in classical physics, any realistic system is subjected to a coupling to an uncontrollable environment which influences it in a non-negligible way. The theory of open quantum systems thus play a major role in many applications of quantum physics since perfect isolation of quantum system is not po...