$ID = get_the_ID();
add_post_meta($ID, 'Author', 'M. Dalmonte', True);
add_post_meta($ID, 'Credits', '2', True);
$AUTHOR = get_post_meta(get_the_ID(),'Author',True);
$CREDITS = get_post_meta(get_the_ID(),'Credits',True);
echo "
by $AUTHOR ($CREDITS credits)
“;
?>
Syllabus [pdf file]
First part: gauge theories and spin liquids
First two lectures – Feb. 27 [2pm] and 28 [9am]
- Brief intro on lattice gauge theories
- Confinement and deconfinement in Ising-gauge theories: non-local order parameters and toplogical quantum spin liquids
- Dual description of Ising gauge theories
- Quantum dimer models and U(1) spin liquids
3rd lecture – Mar. 7 [9am]
- Entanglement and topology: entanglement entropy and entanglement spectra
- Braiding statisics, anyons. Examples with the toric code
Second part: non-local order in one-dimensional spin liquids
4th-5th lecture – Mar. 8 and 9 [9am]
- One-dimensional ‘spin-liquids’ – hidden order
- The Haldane chain: string order, hidden symmetries, Kennedy-Tasaki transformation
- Edge states
- Spin-1/2 chains with hidden order
Third part: non-interacting topological matter
6th lecture – Mar. 14 [9am]
- Kitaev model: phase diagram, solution
- Majorana edge modes
7th lecture – Mar. 21 [9am]
- Integer quantum Hall effect: experimental facts and particles in a magnetic field
- Current quantization and theoretical interpretation
8th lecture – Mar. 23 [9am]
- Towards the Altland-Zirnbauer classification of non-interacting topological matter