Entanglement in topological systems
arXiv:1702.01525
Abstract
These lecture notes on entanglement in topological systems are part of the 48th IFF Spring School 2017 on Topological Matter: Topological Insulators, Skyrmions and Majoranas at the Forschungszentrum Juelich, Germany. They cover a short discussion on topologically ordered phases and review the two main tools available for detecting topological order - the entanglement entropy and the entanglement spectrum.
lecture notes for the 48th IFF Spring School 2017 at the Forschungszentrum Juelich (2017) 17 pages + 6 pages referenses
References in corpus (15)
- Non-Abelian Anyons and Topological Quantum Computation
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Bipartite entanglement and entropic boundary law in lattice spin systems
- Ground state entanglement and geometric entropy in the Kitaev's model
- Entanglement entropy in fermionic Laughlin states
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
- A short introduction to Fibonacci anyon models
- Bipartite entanglement entropy in fractional quantum Hall states
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Topological phases and quantum computation
- Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
- Operator content of real-space entanglement spectra at conformal critical points
- A path integral Monte Carlo method for Rényi entanglement entropies
- Renyi Entanglement Entropy of Molecules: Interaction Effects and Signatures of Bonding