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PHSI424 Advanced Quantum Mechanics II

Density operator; second quantisation; quantising the EM-field; atom-light interactions; open quantum systems; spontaneous emission; quantum beam splitter; squeezing; scattering theory, contact interactions; Bose-Einstein condensation; trapped condensates; quantum vortices; Bogoliubov theory.

Paper title Advanced Quantum Mechanics II
Paper code PHSI424
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $628.08
International Tuition Fees (NZD) $2,573.97

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Prerequisite
PHSI 423
Limited to
BSc(Hons), PGDipSci, MSc
Contact
ashton.bradley@otago.ac.nz
Teaching staff
Dr Ashton Bradley
Textbooks
Text books are not required for this paper.
Graduate Attributes Emphasised
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
View more information about Otago's graduate attributes.
Learning Outcomes
After completing this paper students are expected to:
  1. Know and be able to use the essential properties of Fock states and coherent states
  2. Understand and apply the rules of canonical quantisation
  3. Use the methods of second-quantised field theory for non-relativistic, many-body problems
  4. Be able to solve Hamiltonian dynamical problems in simple quantum optical systems
  5. Be familiar with the density operator and the Born-Markov theory of open quantum systems
  6. Know the essential formalism of scattering theory and be able to apply it to some basic scattering problems
  7. Be familiar with the mean-field theory of the dilute Bose gas and its application to trapped Bose-Einstein condensate experiments
  8. Understand the s-wave scattering limit and the Thomas-Fermi approximation for bosons
  9. Be familiar with Bogoliubov theory for the weakly interacting homogeneous Bose gas

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Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None

Density operator; second quantisation; quantising the EM-field; atom-light interactions; open quantum systems; spontaneous emission; quantum beam splitter; squeezing; scattering theory, contact interactions; Bose-Einstein condensation; trapped condensates; quantum vortices; Bogoliubov theory.

Paper title Advanced Quantum Mechanics II
Paper code PHSI424
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $640.66
International Tuition Fees (NZD) $2,676.93

^ Top of page

Prerequisite
PHSI 423
Limited to
BSc(Hons), PGDipSci, MSc
Contact
philip.brydon@otago.ac.nz
Teaching staff
Course co-ordinator: Dr Philip Brydon
Textbooks
Textbooks are not required for this paper.
Graduate Attributes Emphasised
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
View more information about Otago's graduate attributes.
Learning Outcomes
By the end of the paper students are expected to be able to:
  1. Know and be able to use the essential properties of Fock space.
  2. Use the methods of second-quantised field theory for non-relativistic many-body problems.
  3. Understand differences between Bose and Fermi particles and their field theories.
  4. Be familiar with quantisation of the Electromagnetic field and description atom-light interactions.
  5. Understand Bose-Einstein condensation, quasiparticles and superfluidity.
  6. Appreciation of the BSC theory of superconductivity.

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Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None