course: Quantum Optics

number:
160317
teaching methods:
lecture with tutorials
media:
Moodle
responsible person:
Dr. Nathan Jukam
lecturer:
Dr. Nathan Jukam (Physik)
language:
english
HWS:
4
CP:
4
offered in:
summer term

dates in summer term

  • lecture: in Online

goals

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.

content

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.

requirements

None

recommended knowledge

Previous course in Quantum Mechanics.