# LIGHT AND MATTER - 2018/9

Module code: PHY3043

Module Overview

The module is about quantum optics, which is the way that quanta of light interact with quantum objects. In Schrödinger’s famous cat paradox the animal was both alive and dead at the same time, but the thought experiment itself was pretty boring – just set up the cat, in a box, with some poison, a detector, and some radio-active substance, and let nature take its course. If you look in the box and repeat with many cats, sometimes they’re alive and sometimes dead, with a simple probability distribution determined by how long you wait. Quantum optics adds control – want the cat a bit more alive than dead? Want it completely dead? Want it to spring back to rude health? Just dial in the appropriate laser pulses and your ghostly quantum object (probably not a cat) will obey your command, just so long as you aren’t tempted to look at it. What useful things can you do with these ideas? Magnetic Resonance Imaging is one of the very few commercially available technologies that uses quantum superpositions, other than some fairly simple, but uncrackable, quantum encryption key transmission systems. But the future looks really bright, and possibly most excitingly, Quantum Computers will also take advantage of entanglement. In this effect, you can measure one bit of the entangled system and instantly find stuff out about others, no matter how far away they are. Even more amazing, you can fiddle around with some of the bits of the system and that has an instant effect on the others, even though they could be miles away and you don't touch them. Some detractors point out that there are not many quantum programs that have been shown to be better than classical computers, which are already doing pretty well thank you very much, but of course one of the problems is that so few people understand quantum computing enough to write them. After all, the hardware doesn't really exist yet! It’s just a symptom of an exploding subject in its infancy, and this module will even give you the tools to take part.

Module provider

Physics

Module Leader

MURDIN BN Prof (Physics)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 6

JACs code: F300

Module cap (Maximum number of students): N/A

Module Availability

Semester 1

Prerequisites / Co-requisites

The module will assume prior knowledge equivalent to the following modules. If you have not taken these modules you should consult the module descriptors Level HE1 (FHEQ Level 4) Mathematical And Computational Physics; Atoms And Quanta Level HE2 (FHEQ Level 5) From Atoms to Lasers; Energy and Entropy; Electromagnetism; Electromagnetism, Scalar and Vector Fields; Quantum Physics

Module content

Each sub-unit is 1 week: 2 hours lecture + 1 hour seminar/tutorial.

1. Atoms

The gas of classical oscillators and Rayleigh scattering. The Bohr model and its failures. Formalism of wave mechanics, Dirac notation. Spherical harmonics and the hydrogenic atom [without proof].

2. Magnetic Circular Dichroism

Static field perturbations: the hydrogenic atom in a magnetic field. Circular polarization and selection rules.

3 Quantum matter and classical light waves

The two-level atom: the Time-Dependent Schrödinger equation and Rabi oscillations.

4 Echoes

Photon echoes, pulsed Nuclear Magnetic Resonance (NMR)/Electron Spin Resonance (ESR) and spin echoes. Application of NMR to Magnetic Resonance Imaging (MRI).

5 Advanced quantum optics

Dressed states, electromagnetically induced transparency and slow light. Fermi’s Golden Rule.

6. Photon Statistics and squeezed light

Classical intensity interferometers and astronomical applications: Hanbury Brown–Twiss experiments. Coherent light and Poissonian photon statistics, sub-Poissonian photon statistics, the quantum HBT experiment, single-photon sources, squeezed states.

7. Quantum matter and quantum light

Introduction to the second quantization, photon number states, raising and lowering operators, the Jaynes Cummings Model.

8. Cold atoms and ions in cavities and traps

Laser cooling, and Bose-Einstein condensation. Optical cavities, atom-cavity coupling, weak and strong coupling. Atomic clocks, the atom laser.

9. Quantum cryptography

Quantum Cryptography and practical implementations.

10. Quantum computing and entangled states

quantum bits, quantum logic and states, and quantum computer algorithms: the quantum Fourier Transform. Entangled states, quantum teleportation.

Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Examination | END OF SEMESTER EXAMINATION - 1.5 HOURS | 70 |

Coursework | COURSEWORK | 30 |

Alternative Assessment

N/A

Assessment Strategy

Module aims

- This module aims to: provide an understanding of the fundamentals, links and recent developments in atomic physics and quantum optics.

Learning outcomes

Attributes Developed | ||
---|---|---|

1 | Compare and contrast the behaviour of classical oscillators in classical waves with that of quantum oscillators interacting with photons | KC |

2 | Apply the time-dependent SchrÃ¶dinger equation to a two level atom to produce superpositions and their evolution | KC |

3 | Explain the causes of quantum optical phenomena such as photon echoes | K |

4 | Relate quantum optical principles to real-life applications using photon echoes such as magnetic resonance imaging | KC |

5 | Theorize or generalize in unseen situations where quantum optics concepts apply | C |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

Overall student workload

Independent Study Hours: 117

Lecture Hours: 22

Tutorial Hours: 7

Laboratory Hours: 4

Methods of Teaching / Learning

The learning and teaching strategy is designed to provide:

a comprehensive theoretical treatment for the subject knowledge

practice in problem solving for the cognitive skills

The learning and teaching methods include:

“chalk and talk” lectures backed up with guided study to stimulate uptake of subject knowledge (2 hour per week x 10)

seminar-type discussion forums of the key concepts including “classic” research articles and reviews describing applications of theory (0.5 hour per week x 10)

tutorial demonstration of solutions to key problems after students have attempted them for formative feedback (0.5 hour per week x 10)

peer learning and teaching with structured Surrey-Learn hosted discussion boards focussed on the above (constant)

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Programmes this module appears in

Programme | Semester | Classification | Qualifying conditions |
---|---|---|---|

Liberal Arts and Sciences BA (Hons)/BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics MSc | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics with Nuclear Astrophysics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics with Astronomy BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics MPhys | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics with Quantum Technologies BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics with Quantum Technologies MPhys | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics with Nuclear Astrophysics MPhys | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Physics with Astronomy MPhys | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2018/9 academic year.