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 (44)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- The World as a Hologram
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Quantum Spin Hall Effect
- Detecting topological order in a ground state wave function
- The holographic principle
- String-net condensation: A physical mechanism for topological phases
- Measuring entanglement entropy through the interference of quantum many-body twins
- Calculation of reduced density matrices from correlation functions
- Topological orders and Edge excitations in FQH states
- Discovery of a Weyl Fermion semimetal state in NbAs
- Quantum orders in an exact soluble model
- Bipartite entanglement and entropic boundary law in lattice spin systems
- Quasiholes and fermionic zero modes of paired fractional quantum Hall states: the mechanism for nonabelian statistics
- Ground state entanglement and geometric entropy in the Kitaev's model
- Entanglement entropy in fermionic Laughlin states
- Entanglement entropy and entanglement spectrum of the Kitaev model
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- Quantum Hall Physics - hierarchies and CFT techniques
- Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
- Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
- A short introduction to Fibonacci anyon models
- Extracting Excitations From Model State Entanglement
- A geometric proof of the equality between entanglement and edge spectra
- Bipartite entanglement entropy in fractional quantum Hall states
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Quantum Entanglement of Interacting Fermions in Monte Carlo
- Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems
- Topological phases and quantum computation
- Entanglement Entropy of Systems with Spontaneously Broken Continuous Symmetry
- Topological order and topological entropy in classical systems
- Detecting Classical Phase Transitions with Renyi Mutual Information
- 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
- Universal corner entanglement of Dirac fermions and gapless bosons from the continuum to the lattice
- A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions
- Renyi entropies for classical stringnet models
- Entanglement entropy of SU(3) Yang-Mills theory
- Renyi Entanglement Entropy of Molecules: Interaction Effects and Signatures of Bonding
- On the particle entanglement spectrum of the Laughlin states