||Quantum Optics and Photonics
||Dr O. Kyriienko
||15 NICATS / 7.5 ECTS
||33 students (approx)
This module explores how light may be controlled and guided at the level
of few photons. It describes how quantum physics may be harnessed in the
future to offer new and exciting opportunities in manipulating light,
including quantum computing and communication. This module will range
over basic physics, mathematical formulation of quantum theory, and
This module aims to develop a detailed understanding of the physics that
underpins quantum optics and photonics, and learn the underlying
mathematical language. It will explores solutions to problems from topics at
the forefront of current optics research, such as the production and
manipulation of light in non-classical states.
Intended Learning Outcomes (ILOs)
A student who has passed this module should be able to:
Module Specific Skills and Knowledge:
- describe the fundamental properties of liqht;
- describe how sources produce light in special (e.g. coherent and single-photon) states;
- explain the operation and applications of a range of photonic devices and systems;
- solve problems involving the interaction of
light with matter by applying quantum electrodynamics (QED);
- explain nonlinear optical response and calculate some of its classical and quantum effects;
- explain quantum teleportation and describe its significance for communicating
information about quantum states.
Discipline Specific Skills and Knowledge:
- solve mathematical problems;
- apply electrodynamics and quantum mechanics to devices, structures and systems.
Personal and Key Transferable / Employment Skills and Knowledge:
- develop self-study skills;
- solve problems.
Dirac notation. Quantum evolution. Schrödinger, Heisenberg and interaction
pictures. Composite systems and entanglement.
Quantisation of the Electromagnetic Field
Maxwell's equations, electromagnetic waves and their relation to harmonic
oscillators. Quantum electromagnetic waves. Fock states. Electromagnetic
Single-Mode Quantum Light
Field and quadrature operators. Optical microcavities and experimental setups.
Single-Mode Number States
Uncertainty relations. Signal-to-noise ratio.
Single-Mode Coherent States and Their Relation to Classical Light
Photon number distribution and non-classical light detection. Electric field
uncertainty. Displacement operator.
Thermal Radiation and Fluctuations in Photon Number
Planck distribution. Statistical classification of optical states.
Beam splitters. The Mach-Zehnder interferometer.
Two-Photon Interference and the Hong-Ou-Mandel Effect
Electric-dipole approximation. Perturbation theory. Absorption, stimulated and
spontaneous emission. Theory of lasing.
Cavity Quantum Electrodynamics
Rabi model. Jaynes-Cummings model. Dicke model. Master equation.
First-order coherence. Second-order coherence. Anti-bunching and single photon
emission: theory and experiments.
Nonlinear Optics and Non-Classical Light
Non-linear polarization. Parametric down-conversion. Squeezed states of light.
The no-cloning theorem. Entangled photon pairs and Einstein-Podolsky-Rosen states.
Quantum communication protocols. Teleportation.
Introduction to Quantum Computing
Qubits and quantum platforms. Quantum gates. Superdense coding. Quantum algorithms
for computation. Phase kick-back and Deutsch-Jozsa algorithm.
Learning and Teaching
Learning Activities and Teaching Methods
|2×1-hour problems/revision classes
|5×6-hour self-study packages
|4×4-hour problem sets
|Reading, private study and revision
||Discussion in class
||4 × Problems sets
||4 hours per set
||Solutions discussed in problems classes.
||2 hours 30 minutes
||Mark via MyExeter, collective feedback via ELE and solutions.
The following list is offered as an indication of the type & level of information that
students are expected to consult. Further guidance will be provided by the Module Instructor(s).
Prior Knowledge Requirements
||Waves and Optics (PHY1023), Quantum Mechanics I (PHY2022) and Electromagnetism II (PHY3051)
Re-assessment is not available except when required by referral or deferral.
|Original form of assessment
||Form of re-assessment
||Time scale for re-assessment
||Written examination (100%)
||August/September assessment period
Notes: See Physics Assessment Conventions.
KIS Data Summary
|Learning activities and teaching methods|
|SLT - scheduled learning & teaching activities
|GIS - guided independent study
|PLS - placement/study abroad
|IoP Accreditation Checklist
- N/A this is an optional module
||physics; quantum optics; photonics; optics; Maxwell's equations; electodynamics; quantum mechanics.