Title : Two level quantum system - A paradigm for analyzing fundamental quantum mechanical phenomena
Abstract:
A two-state or a two-level system, is a quantum system that can survive in any quantum superposition of two independent physically distinct state vectors. Hilbert space of two-dimensional is used to describe such a system. Here, two linearly independent vectors form a complete basis spanning the space. Any two-level coupled system can also be consider as a quantum bit (qubit).
Didactically, the two-state formalism is among the uncomplicated of mathematical method exploited for the investigating of quantum systems aiming to understand phenomenology or effects having no classical analog. For examples, two-state formalism can be used to expound basic quantum mechanical phenomena such as the interference displayed by particles of the polarization states of the photon, even for much sophisticated phenomena such as neutrino recurrent event or the neutral K- meson oscillation.
I my presentation, I intend to analyze how a initially prepared state in two-level system evolves in time. We consider the cases of both static and dynamical couplings separately. It can be shown that phenomena with enormous commercial enterprise applications such as the maser and laser can conveniently be justified using the two- state formalism, as well as, other fundamental issues like quantum coherence and entanglement. We also discuss how two-state formalism also forms the basis of quantum computing.
