Entanglement entropy at quantum critical points: Can you ... - INFN

More documents

Recommendations

Info

“Known” Topological Quantum Liquids • 2DEG Fractional Quantum Hall Liquids – Abelian FQH states (Laughlin and Jain): fractional charge and Abelian fractional statistics – Non-Abelian FQH states: Is ν = 5/2 a Pfaffian (Moore-Read) FQH state (firm candidate) Is the plateau at ν = 12/5 a parafermion state (good possibility) • Rapidly rotating Bose gases: possible non-Abelian (Pfaffian) FQH state of bosons at ν = 1 • Time-Reversal Breaking Superconductors: Sr 2 RuO 4 is a p x + ip y superconductor 10
Challenges • To develop a consistent theory of topological phases (i.e. beyond FQH states) and to understand the underlying mechanisms • What are the generic phases of models of topological liquids • Is the gap necessary Can a topological liquid be gapless • Concrete examples of lattice models with local interactions with topological phases • Fractional Statistics: Abelian and non-Abelian • There has been some progress in constructing models with Abelian statistics • To find experimentally realizable models (looks promising, not quite there yet) 11
Page 1 and 2: Entanglement entropy at quantum cri
Page 3 and 4: Motivation • Entanglement entropy
Page 5 and 6: Quantum Phase Transitions and Quant
Page 7 and 8: Entanglement and Conformal Invarian
Page 9: Spin Liquids and Topological States
Page 13 and 14: The Quantum Dimer Model H RK = ∑
Page 15 and 16: Scale Invariant Ground State Wave F
Page 17 and 18: Phase diagram for a quantum eight v
Page 19 and 20: Entanglement Entropy of 2D Quantum
Page 21 and 22: • 〈{φ A 1 }|ρ A |{φ A 2 }〉
Page 23 and 24: • The boundary terms impose conti
Page 25 and 26: • For the QCPs we are discussing
Page 27 and 28: If the A and B share a common bound
Page 29: Conclusions • We examined the beh

Entanglement entropy at quantum critical points: Can you ... - INFN

Create successful ePaper yourself

Delete template?

Save as template?