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

More documents

Recommendations

Info

Outline • Motivation • Entanglement entropy • Entanglement entropy and quantum criticality in 1 + 1 Dimensions • Topological Phases, Topological Field Theories and Quantum Phase Transitions • Conformal Quantum Critical Points in 2 + 1 dimensions • Entanglement Entropy of Scale Invariant Wave Functions 2
Motivation • Entanglement entropy is a clear measure of quantum mechanical correlations in many body systems and field theories. • It is however a very non-local quantity which very difficult to measure in macroscopic quantum systems. • Its behavior near quantum critical points is largely not understood except in one dimension. • Recent results show it is a quantity of interest in topological phases. 3
Page 1: Entanglement entropy at quantum cri
Page 5 and 6: Quantum Phase Transitions and Quant
Page 7 and 8: Entanglement and Conformal Invarian
Page 9 and 10: Spin Liquids and Topological States
Page 11 and 12: Challenges • To develop a consist
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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?