Physics 501- Spring 2021

Quantum Mechanics II

Note: Lectures will begin Monday Jan11. Note: I send emails to the class via the registrar's email lists for this course. Please make sure that you have registered your email with the university. Unfortunately some service providers see this as an indication that this is spam and dumps the mail into a junk, or spam, or other labeled folder. I do not know how to get around this as I do not want to give everyone everyone else's email, I do not want to enter all 50 separate email addresses as separate emails, but I want people to get them. Please remember to look into your junk/spam/... folder as well if you do not get the emails for this class.

Plagerism, cheating, etc

NO

• Talk to your students early in course about cheating - what it is, why they should not do it, and even though it is easier to do it now, it is easier to catch as all the necessary evidence is readily available.
  • Be explicit and detailed about integrity expectations in your posted course outline and exam instructions
    • Tell students what happens if they are suspected of cheating:
      • Interview with instructors and undergraduate chair, and if response is unsatisfactory -
        • Zero on course component (e.g. exam) and report sent to Dean's Office, then -
        • Interview with the Associate Dean, then -
          • At least: Letter of reprimand on permanent file
          • More serious cases and all second offences: Move to President's Disciplinary Committee, with consequences up to and including expulsion

Chat Channel

Topics

• Review of Quantum Mechanics
• Complementarity,Entanglement,Delayed Choice,
• Bell's Thm, Hardy's System, and the difference between quantum theory and Classical theory.
• Conditions in QM (Aharonov's study of setting conditions at past and future times)
• Linear Quantum Field theory (Bosonic theories, Simple Harmonic Oscillator, squeezed states)

Previous Year Topics

• Particles and Detectors
• Hawking Radiation and Bugoliubov
• Application to quantum noise in Ligo
• Introduction to Quantum Computing (Grover, Shor, and Quantum bit operation diagrams
• ....

Lectures

Notes:

• Complementarity, delayed choice, quantum eraser (Ch 8 from Zubairy's new book "Quantum Mechanics for beginners")
• Bell's Thm, Hardy's system, and Quantum Mechanics
  • Written notes on Bell, GHZ, and Hardy chain
  • Brief note on effect of measuring quantity in only one subsystem
• Aharonov Bergman and Lebowitz Time symmetric quantum mechanics.
• How to measure the spin of a spin 1/2 particle and obtain a spin of 100
• Mean King Problem How to know what the value of sigma-x, sigma-y or sigma-z is of a two level system. "A procedure is described whereby the result of the measurement of any of the three Cartesian components of the spin of a single spin- —, particle at a single time can be inferred with certainty from the result of two other measurements, one of which is carried out before, and the other after, the time in question"
• Book-ch 4 This is a chapter from a book being written by R Schuetzhold and me.
• Norm for modes and associated Annihilation operators
• "Adiabatic approximation for time dependent Harmonic Osciallator"
• Particle creation by expanding Universe (Feb 13-- many misprints corrected)
• Interaction Representation and Detectors
• Accelerated Detector The calculation that an accelerated detector in the Minkowski vacuum state is excited at a thermal rate.
• "popular talk on Gravitational radiation and the quantum Ligo detector"
• One of the very early papers (1979) on the quantum nature of gravitational wave detectors, including laser detectors.
• Handwritten notes on the effect of laser beam on radiation pressure quantum fluctuations on detector
• Caves 1980 PRL showing that radiation pressure fluctuations add noise to interferometer.
• Original paper on laser noise
• Noise in Interferometer Hand notes
• Notes on Quantum Interferometer II (some of this replaces the previos notes, and extends them)
• Hung Ou Mandel experiment
• Beamsplitter calc and Hung Ou Mandel effect
• quantum computing intro and Grover's algorithm
• First paper on Adiabatic Quantum Computing by Farhi et al.
• Varieties of Q Compting Hand written notes ( for an amplification of the Adiabatic thm derivation see HERE (altered Apr2-18:30 to include Berry's phase)
• Error Correction (Includes diagramatic representation of Quantum Gates)
• Quantum Fourier Transform and Shor's algorithm
  • Expansion for eqn 12
• Diagram of Fourier Transform
• Diagram of Shor Algorithm

Assignments and Solutions

If not handed in in class, put assignments into box on shelf outside my room (in 311 Hennings) labeled Phys 341. (Not into the metal sorting rack but into the box) The box is inside Rm 311 Hennings-- go right into the room up to the table, then turn right. The shelf is on your right. My office is straight ahead of you.

Assignments

• Assignment 1 Due Jan20 (A couple of misprints fixed Jan 14)

  Solutions

  Notes, solutions or documents linked to from this page and hosted on theory.physics.ubc.ca are copyright W. G Unruh. 2020 unless created by others