A Lieb-Schultz-Mattis Type Theorem Without Continuous Symmetry by Hal Tasaki

A Lieb-Schultz-Mattis Type Theorem Without Continuous Symmetry by Hal Tasaki

International Centre for Theoretical Sciences via YouTube Direct link

Theorem for Matrix Product States MPS

12 of 30

12 of 30

Theorem for Matrix Product States MPS

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

A Lieb-Schultz-Mattis Type Theorem Without Continuous Symmetry by Hal Tasaki

Automatically move to the next video in the Classroom when playback concludes

  1. 1 A Lieb-Schultz-Mattis type theorem without continuous symmetry
  2. 2 Lieb-Schultz-Mattis type theorem in quantum spin chains without continuous symmetry a "no non-degenerate scar theorem"
  3. 3 Lieb-Schultz-Mattis LSM type theorem
  4. 4 Proof of the original theorem
  5. 5 A Typical Theorem
  6. 6 Remarks on the Theorem 1
  7. 7 Remarks on the Theorem 2
  8. 8 Remarks on the Theorem 3
  9. 9 Remarks on the Theorem 4
  10. 10 The group Z2 * Z2 its representation and projective representation
  11. 11 Z2 X Z2 transformation of a single spin
  12. 12 Theorem for Matrix Product States MPS
  13. 13 Matrix Product States MPS
  14. 14 Theorem for MPS
  15. 15 Proof of Theorem 1'
  16. 16 Toward the Full Theorem
  17. 17 From Theorem 1' to Theorem 1
  18. 18 About operator algebraic approaches in quantum systems with infinite degrees of freedom
  19. 19 Opinions of a mathematical physicist on operator algebraic approaches to spin systems student
  20. 20 Outline of the Proof
  21. 21 Algebras for the half-infinite chain
  22. 22 New Hilbert space H
  23. 23 The Cuntz algebra
  24. 24 The core of the proof
  25. 25 Extensions
  26. 26 Symmetry
  27. 27 State
  28. 28 General Theorem
  29. 29 Summary
  30. 30 Q&A

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.