Non-Hermitian Hamiltonian for open systems and many-body physics
Vladimir G. Zelevinsky
Tuesday, 7 June 2011, 15:00
Open and marginally stable quantum systems are in the center
of current interest in many branches of mesoscopic physics,
from nuclei to future quantum computers. A powerful method
of their theoretical description reformulates the exact quantum
mechanics in the language of the effective non-Hermitian
Hamiltonian. The whole dynamics is projected into
that of intrinsic system with unstable quantum states.
The techniques are explained, and examples are given for
modern nuclear shell model with continuum and for quantum
signal transmission through a mesoscopic system. An analogy
to super-radiance in quantum optics plays an important role.