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Entanglement Between Noncomplementary Parts of Many-Body Systems

This thesis investigates the structure and behaviour of entanglement, the purely quantum mechanical part of correlations, in many-body systems, employing both numerical and analytical techniques at the interface of condensed matter theory and quantum information theory. Entanglement can be seen as a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wichterich, Hannu Christian (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication
  • Extraction of Pure Entangled States from Many-Body Systems by Distant Local Projections
  • Scaling of Negativity of Separating Blocks in Spin Chains and Critically.-Universality of the Negativity in the Lipkin-Mechkov-Glick Model
  • Conclusions and Outlook
  • A. Diagonalisation of the XX Model
  • B. Factorisation of the Fermionic Correlation Functions
  • C. Time Dependence of the Reduced Density Operator Following Quench
  • D. Density Matrix Renormalisation Group Algorithm
  • E. Proof of Williamson's Theorem
  • F. Partial Transposition in Continuous Variable Systems
  • G. Gaussian Wigner Representation of Bosonic Vacuum
  • H. Ground State Covariance Matrix of a Quadtratic Hamiltonean
  • I. Bipartitie Entanglement of Gaussian States
  • J. Density Matrix Spectra of Bosonic Gaussian States
  • K. Bosonisation of the LMG Hamiltonian
  • Bibliography.