## Admission Requirements

Quantum Mechanics, Bachelor of Physics (Quantummechanica 1 and Quantummechanica 2)

## Description

This course provides an introduction to the field of quantum optics and studies the interaction of quantum mechanical light with matter. Throughout the course a strong link is made between theoretical concepts and modern experimental research to illustrate and understand the essential difference between a classical description and a quantum mechanical description.

Basics: Field quantization, quadatures, quantum measurement, operator ordering theorems

States of light: Coherent States of Light, Photon Number states, Phase space distributions (Wigner function), quantum phase operator

Coupled quantum oscillators: Jaynes-Cummings model, Rabi oscillations, optomechanics

Correlation functions: Quantum and classical coherence, Hanbury-Brown and Twiss experiment, single photon sources

Quantum interference: quantum description of beamsplitters as unitary transformations, Hong-Ou-Mandel effect, interferometers, homodyne detection, backaction and noise, quantum erasure

Sources of quantum light: Squeezing operator, squeezed light, parametric downconversion

Cavity QED: Experiments with Rydberg atoms, Purcell effect, Schrödinger cat states

Applications of entanglement: Experiments on teleportation, quantum key distribution and violations of Bell’s inequality.

## Course objectives

After the course the student should be able to apply the basic concepts of quantum optics and discuss quantum effects in experiments. The emphasis is on a qualitative understanding of the general principles applied to experimentally relevant situations.

## Timetable

## Mode of instruction

Lectures, tutorials (exercise classes) and 15 min. student presentations on an experimental research article selected by the lecturer.

## Assessment method

Student presentations are graded for each group based on the presentation and questions asked. The grade counts as 1/3 of the final grade.

Written examination, with questions modeled after the exercises from the tutorials. The written exams counts as 2/3 of the final grade.

There is a possibility to retake the exam. The date and format (oral or written examination) of the retake will be decided in consultation.

## Blackboard

Blackboard is used to distribute Course information

To have access to Blackboard you need a ULCN-account.Blackboard UL

## Literature

C. Gerry and P. Knight, Introductory Quantum Optics, Cambridge University Press, Cambridge, UK (2005), ISBN 0 521 52735 X (paperback)

Lecture notes and papers distributed via balckboard

Suggested additional reading for a more experimental perspective: M.Fox, Quantum Optics: An Introduction, Oxford University Press, Oxford, UK (2001), ISBN 0198566735 (paperback)

s courses at the undergraduate (BSc) level

## Contact information:

Lecturer: Dr. M. de Dood (Michiel)