Non classical states of light. Vacuum fluctuations effect. Nonlinear optical
effects. Resonance fluorescence in multilevel systems. Quantum mechanics of
single events. Atoms and molecules in strong laser field. Short-range
potential in strong laser field. Two-photon phase-sensitive optical devices.
Applications of the Wigner function in classical and quantum optics.
Classical and quantum phase space. Phase-space methods in quantum optics.
Quantum nonlocality and the Bell inequality. Foundations of Quantum
Mechanics. Operational approach to quantum measurements. Phase space
diagnostics of quantum states of light. Randomness and nonlocality in quantum
physics. Generation of linear superposition states.
Theory of stochastic processes. Quantum jumps and stochastic fluctuations.
Stochastic models of vacuum fluctuations. Fractional diffusion processes in
optical applications. Atomic systems driven by quantum and classical sources
on noise. Path integrals and stochastic processes.
In this topic free-free transitions, ionization processes,
high harmonic generation and non-adiabatic Landau-Zener transitions are
considered. Laser induced modifications of band structure are also studied
in the approximation in which crystals are modeled by a periodic in space
Kronig-Peney potential. In this approach multiphoton photoeffect from
a surface is investigated.
This topic covers both Schwinger (derivatives) and Feynman (integrals)
functional methods applied to partial differential equations of both
classical and quantum physics. Different approximations are developed
and applied to particular physical problems of non-relativistic as well
as relativistic physics.