These are the materials for Theories of Quantum Matter, a Part III Physics course at the University of Cambridge taught in Michaelmas 2024. tqm.tripos.org is the live version of the notes.
The materials for previous versions of the course can be found here. While these are largely unchanged, you should regard this site as the authoritative version for 2024.
The source of these notes is this GitHub repo. If you find a typo, other problem or have any other comment on the material, please raise an issue there.
The discussions section is a good place to ask each other questions. Try it!
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Callouts for in-lecture problems
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Add list of supervisions
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Add details about supervisions
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Sun Woo correction in first lecture (normalization factor)
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Add
$\hbar =1$ warning!! -
Add advice to complete exercises
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Build problems with PDF. How to fix
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Favicon for site
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FQHE animation not working
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Fix cot / tan disagreement between spin models lectures and slides
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Switch to
\Braketin KaTeX for matrix elements / expectation values in slides -
I believe there is an inconsistency between the two parts of Q6. The wavefunction given in the second part is problematic dimensionally - |c| doesn't have dimensions of inverse length. This is because the mass of the bosons m is not involved. From my results it follows that the consistent densities are obtained for m=2, i.e. the power of the exponents in psi should be m|c|/4*|x_j-x_k|.
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There may be an inconsistency in the definition of Anderson spins. North pole should be occupancy by a pair but the u_p, v_p parameterization says otherwise.
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Respond to Daniil's question about FDT symmetry for different operators
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Add material not lectured to site
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Deal with old Atilla questions about Bethe Ansatz