Open Quantum Optical Systems (OQOS)5 ECTS
(englische Bezeichnung: Open Quantum Optical Systems)
(Prüfungsordnungsmodul: Physics elective courses)

Lehrveranstaltungen:

• • Open Quantum Optical Systems
    (Vorlesung, 2 SWS, Carlos Navarrete-Benlloch)
  • Übung zur Vorlesung "Open Quantum Optical Systems"
    (Übung, 1 SWS, Carlos Navarrete-Benlloch et al., Di, 14:00 - 16:00, SR 02.779)

Empfohlene Voraussetzungen:

The course will be understandable to any student who has passed at least one course in basic quantum mechanics. Ideal for last year bachelor students, master students, and PhD students.

Inhalt:

Contents:
The course will contain a selection of topics from the following list:

• Review of classical mechanics, Hilbert spaces, and quantum mechanics

• Quantization of the electromagnetic field as a collection of harmonic oscillators: quantum states (number, coherent, squeezed, thermal,entangled,...); phase-space visualization through the Wigner function; other technologically relevant systems captured by the harmonic oscillator model.

• Quantum theory of atoms and the two-level approximation: atomic energy spectrum; two-level approximation, dynamics, and visualization in the Bloch sphere; other systems that act as "artificial" or "engineered" atoms.

• Atom-light interaction: Hamiltonian in the dipolar approximation; Jaynes-Cummings model; Rabi oscillations, collapses, and revivals.

• Light in a nonlinear dielectric: Basic second-order processes and frequency generation; Hamiltonian under the independent dipole approximation; Bogoliubov diagonalization and unstable Hamiltonians.

• Quantum optics in open systems: Open optical cavities, the master equation and the quantum Langevin equation; incoherent atomic processes, spontaneous emission, Lamb shift, and dephasing; some paradigmatic open models such as the degenerate parametric oscillator and the laser.

• Numerical and analytical techniques for open quantum-optical systems: Superspace approach; the method of quantum-state trajectories; phase-space techniques; small quantum fluctuations around the classical state; light-matter decorrelation.

• Detection of the output field: Input-output relations; quantum regression theorem; photodetection, bunching, and antibunching; homodyne detection and squeezing.

• Elimination of spurious degrees of freedom: Effective Hamiltonians and master equations; projection-operator and -superoperator techniques; examples: effective motional optical potentials on a detuned atom and sideband cooling with a driven cavity mode.

Lernziele und Kompetenzen:

Learning goals and competences:
Students

• explain the relevant topics of the lecture

• apply the methods to specific examples

Weitere Informationen:

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Physics (Master of Science)
   (Po-Vers. 2015s | NatFak | Physics (Master of Science) | Master's examination | Physics elective courses)

Studien-/Prüfungsleistungen:

Open Quantum Optical Systems (Prüfungsnummer: 580547)

(englischer Titel: Open Quantum Optical Systems)

Prüfungsleistung, Klausur, Dauer (in Minuten): 90, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

weitere Erläuterungen:
Masterstudierende mit Studienbeginn ab Sommersemester 2015 können Prüfungen in deutscher Sprache nur mit Genehmigung des Prüfungsausschussvorsitzenden ablegen.

Prüfungssprache: Englisch

Erstablegung: WS 2017/2018, 1. Wdh.: WS 2017/2018 (nur für Wiederholer)

1. Prüfer:

Florian Marquardt