course: Quantum Optics
- teaching methods:
- lecture with tutorials
- responsible person:
- Dr. Nathan Jukam
- Dr. Nathan Jukam (Physik)
- offered in:
- summer term
dates in summer term
- lecture: in Online
This course will cover the physics necessary to understand quantum cascade lasers. Quantum cascade lasers are a new class of semiconductor lasers that are based on intersubband transitions.
Review of Quantum Mechanics: harmonic oscillator, ladder operators, Hermitian conjugate, Hermitian operators, Dirac notation, Schrödinger picture, Heisenberg picture and Interaction picture.
Quantization of the electro-magnetic field: creation and annihilation operators, quadrature operators, coherent states and the displacement operator.
Light-matter interactions: Rabi oscillations, bare and dressed states, decoherence, strong and weak coupling, Jaynes-Cummings model, atomic collapse and revivals, Purcell effect.
Single photon interference in Mach-Zehnder interferometers: symmetric and asymmetric beam splitters, entangled and product states, interaction free measurements.
First and second order correlation functions: single photon sources, chaotic light, coherent light, anti-bunched light, super-Poissonian, Poissonian and Sub-Poissonian statistics.
Mathematical equivalence of spin 1/2 and two-level systems: magnetic resonance, Bloch sphere, rotating frame, spin echoes.
Collections of two-level systems: superradiance, Dicke states, collective quasi-spin operators, fermionic enhancement of vacuum Rabi oscillations.
Three-level "lambda" systems: adiabatic population inversion, electro-magnetic induced transparency, slow light.
Squeezed states: uncertainty relations, squeezing operator, degenerate parametric down conversion.
Previous course in Quantum Mechanics.