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Exam Format
- 2 hours, closed book
- 3 questions of equal weight. Choose 2.
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- To avoid early "sudden death", some key steps will be of the form: "show that ..." with the equation given. If you get snagged on a some part of the problem, you should be able to carry on in the next sub-question.
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- To avoid early "sudden death", some key steps will be of the form: "show that ..." with the equation given.
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- For applications, focus on chapters 4,6,7,8,9. Problems could be closely related to an assignment question you have done, to other problems in the notes, or to an example we discussed in lectures but didn't go into in detail.
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- For applications, focus on chapters 4,6,7,8,9. Problems could be closely related to an assignment question you have done, to other problems in the notes, or to an example we discussed in lectures.
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Pictures of time evolution
Simple quantum systems: two-level atom, simple harmonic oscillator
Interactions between light and matter
Fundamentals processes in quantum optics and open quantum systems
Born approximation and scattering theory
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- Pictures of time evolution
- Simple quantum systems: two-level atom, simple harmonic oscillator
- Interactions between light and matter
- Fundamentals processes in quantum optics and open quantum systems
- Born approximation and scattering theory
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Key concepts
Pictures of time evolution
Simple quantum systems: two-level atom, simple harmonic oscillator
Interactions between light and matter
Fundamentals processes in quantum optics and open quantum systems
Born approximation and scattering theory
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Question format:
- questions begin with a qualitative/descriptive component, then lead into applications.
- Because it is closed book, and only 2 hours, questions will generally involve quite a bit of "scaffolding", that is, you won't be asked to reproduced a large proof, but rather to work your way through one or two problems, in several parts.
- To avoid early "sudden death", some key steps will be of the form: "show that ..." with the equation given. If you get snagged on a some part of the problem, you should be able to carry on in the next sub-question.
- It will be assumed you are very familiar with chapters 2,3.
- For applications, focus on chapters 4,6,7,8,9. Problems could be closely related to an assignment question you have done, to other problems in the notes, or to an example we discussed in lectures but didn't go into in detail.
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There were a couple of embargoed years. Anything pre 2009 is not relevant (old paper structure).
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There were a couple of embargoed years. Anything pre 2009 is not immediately relevant (old paper structure).
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Finding Past Exams go to: http://www.otago.ac.nz/library/exams/
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Finding Past Exams: http://www.otago.ac.nz/library/exams/
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past exams go to: http://www.otago.ac.nz/library/exams/
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Finding Past Exams go to: http://www.otago.ac.nz/library/exams/
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past exams go to: http://www.otago.ac.nz/library/exams/
and search for PHSI 453, 424, 405.
There were a couple of embargoed years. Anything pre 2009 is not relevant (old paper structure).
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Exam session: 2pm on 26 October, G400
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Exam session: 2pm on 26 October, room 311
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Exam session: 2pm on 26 October
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Exam session: 2pm on 26 October, G400
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Exam session: 2pm on 26 October
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Edit: let's drop 9.8 (more involved than I had intended, and not of high value at this stage in the course).
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Edit: let's drop problem 9.8 (not of high value at this stage in the course).
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Problems 9.4, 9.6, 9.7 [Hint: use the Born approximation, section 9.1.8], 9.8
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Problems 9.4, 9.6, 9.7 [Hint: use the Born approximation, section 9.1.8],
Edit: let's drop 9.8 (more involved than I had intended, and not of high value at this stage in the course).
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Problems 9.4, 9.6, 9.7, 9.8
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Problems 9.4, 9.6, 9.7 [Hint: use the Born approximation, section 9.1.8], 9.8
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Problems 9.4, 9.6, 10.8 [Hint: fluctuations are on top of homogeneous background. See discussion above Eq. (10.53)]
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Problems 9.4, 9.6, 9.7, 9.8
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Problems 9.4, 9.6, 10.8 [Hint: see discussion above Eq. (10.53)]
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Problems 9.4, 9.6, 10.8 [Hint: fluctuations are on top of homogeneous background. See discussion above Eq. (10.53)]
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Problems 9.4, 9.6, 10.8 [Hint: see discussion above Eq. (10.53)]
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- Assignment 3, due 5pm Wednesday 11th October:
Problems 9.4, 9.6, 10.8
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Lecture break for Hons projects: next lecture Monday 25th September
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- Assignment 2, due 5pm Friday 8th September:
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- Assignment 2, due 5pm Monday 11th September:
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No lecture Monday 14 August (Hons talks)
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No lecture Monday 14 August (Hons talks).
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Workshop on 24 August will focus on understanding and using the master equation.
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No lecture Wednesday 23 August.
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- Assignment 2, due 5pm Friday 8th September:
tba
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No lecture Monday 14 August (Hons talks)
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- Assignment 1, due Monday 7th August:
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- Assignment 1, due 12 noon, Friday 11th August:
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- Assignment 1, due Monday 7th August:
Problems 3.9, 3.10, 4.5, 5.4, 5.5
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- Revised notes online below.
- Lecturer will be on conference leave for the week of 12-16 September, so including project week, there will be a 2 week break in lectures.
- Exam time: Thursday 27 October, 9.30.
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- Assignment 1 [due Tuesday 26 July, 5pm]: Ex 2.1, 2.2, 3.6, 3.7, 3.9.
- Assignment 2 [due Friday 30 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
- Assignment 3 [due Friday 14 October, 5pm]: Ex 9.3, 9.4, 9.6, 10.1, 10.7, 10.8
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- LECTURES
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- Monday 2pm - 2.50pm, G400
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- Wednesday 9am - 9.50am, G400
- Thursday 9am - 9.50am, G400
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- WORKSHOP
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- Thursday 2pm - 2.50pm, 314
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes.
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes. Unfortunately it is too late to alter the exam.
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes.
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) in the notes
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) of the notes
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y)
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y as in (3.45) in the notes
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be 1/2(sigma_x +/- i sigma_y)
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should have +/- i.e. sigma_x +/- i sigma_y)
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should sigma_x +/- i sigma_y
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be 1/2(sigma_x +/- i sigma_y)
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be +/-
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should sigma_x +/- i sigma_y
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- Note one typo in formula sheet! Formula 3 in the Pauli matrix section should be +/-
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- Assignment 2 [due Friday 30 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
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- Assignment 2 [due Friday 30 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
- Assignment 3 [due Friday 14 October, 5pm]: Ex 9.3, 9.4, 9.6, 10.1, 10.7, 10.8
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- Assignment 2 [due Friday 9 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
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- Assignment 2 [due Friday 30 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
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- Exam time: Thursday 27 October, 9.30.
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- Lecturer will be on conference leave for the week of 12-16 September, so including project week, there will be a 2 week break in lectures.
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- Assignment 2 [due Friday 9 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
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- Assignment 2 [due Friday 9 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
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- Assignment 2 [due Friday 9 September, 5pm]: Ex 5.5, 5.6, 6.1, 6.2, 7.5
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- Assignment 1: Ex 2.1, 2.2, 3.6, 3.7, 3.9.
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- Assignment 1 [due Tuesday 26 July, 5pm]: Ex 2.1, 2.2, 3.6, 3.7, 3.9.
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- Assignment 1 to be announced.
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- Assignment 1: Ex 2.1, 2.2, 3.6, 3.7, 3.9.
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- '''Assignment 1 to be announced.
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- Assignment 1 to be announced.
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- Assignment 1, due Wednesday 19 August. Problems 4.4, 4.5, 4.6, 5.1, 6.4
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- '''Assignment 1 to be announced.
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- Prerequisites
- Module 423. PHSI 336 strongly recommended.
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- Prerequisites
- PHSI 423. PHSI 336 strongly recommended.
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- Prerequisites
- Module 404. PHSI 336 strongly recommended.
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- Prerequisites
- Module 423. PHSI 336 strongly recommended.
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- REVISED TIMES
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- Tuesday 11am - 12pm, G09
- Wednesday 10am - 12pm in 4th floor Video Conference room
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- LECTURE TIMES
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- Tuesday 10am - 10.50am, G400
- Wednesday 9am - 9.50am, G400
- Thursday 9am - 9.50am, G400
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- Revised notes online below. (future changes will be kept minimal this semester).
- Assignment 1 now due 19 August (to further free up project week).
- 18 August lecture cancelled (due to illness). New time later this week to be determined.
- Assignment 1 now accepted until Friday 21 August.
- Due to illness, I have been unable to give 9/9 and 10/9 lectures. Next week (14/9 - 18/9) is project week (Friday is the due day!). I will add an announcement about assignment 2 soon, but the aim is to not clash with your commitments next week too much.
- Monday 19 October - Exam study session, 2pm 3rd floor AV room
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- Revised notes online below.
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- Assignment 2, Wednesday 30 September.
1. Derive (8.49) from (8.40).
2. Derive (8.51).
3. Problems 9.3, 9.4, 9.6, 9.7
- Assignment 3, due Friday 9 October. Problems 10.2, 10.6, 10.7, 10.8 [homogeneous system: neglect trap and quantum pressure], 10.10
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Module 405: Advanced Quantum Mechanics II (PHSI)
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PHSI 424: Advanced Quantum Mechanics II (PHSI)
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(:notitle:)
Module 405: Advanced Quantum Mechanics II (PHSI)
Two level atom coupled to a single mode of the Electromagnetic field.
This course presents a treatment of non-relativistic many-body theory with applications to quantum optics and degenerate quantum gases.
- Prerequisites
- Module 404. PHSI 336 strongly recommended.
- Lecturer
- Ashton Bradley. Room 416. Ph 4794121. ashton.bradley@otago.ac.nz
- REVISED TIMES
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- Tuesday 11am - 12pm, G09
- Wednesday 10am - 12pm in 4th floor Video Conference room
- Assessment
- 30% assignments, 70% Exam (Closed book).
Announcements
- Revised notes online below. (future changes will be kept minimal this semester).
- Assignment 1 now due 19 August (to further free up project week).
- 18 August lecture cancelled (due to illness). New time later this week to be determined.
- Assignment 1 now accepted until Friday 21 August.
- Due to illness, I have been unable to give 9/9 and 10/9 lectures. Next week (14/9 - 18/9) is project week (Friday is the due day!). I will add an announcement about assignment 2 soon, but the aim is to not clash with your commitments next week too much.
- Monday 19 October - Exam study session, 2pm 3rd floor AV room
Course notes
Assignments (problems are from version 1 course notes linked above)
- Assignment 1, due Wednesday 19 August. Problems 4.4, 4.5, 4.6, 5.1, 6.4
- Assignment 2, Wednesday 30 September.
1. Derive (8.49) from (8.40).
2. Derive (8.51).
3. Problems 9.3, 9.4, 9.6, 9.7
- Assignment 3, due Friday 9 October. Problems 10.2, 10.6, 10.7, 10.8 [homogeneous system: neglect trap and quantum pressure], 10.10
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