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