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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Auteur principal: Wichterich, Hannu Christian
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Édition:1st ed. 2011.
Collection:Springer Theses, Recognizing Outstanding Ph.D. Research
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Accès Université d'Orléans
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Edition sous un autre format:• Entanglement Between Noncomplementary Parts of Many-Body Systems, Texte imprimé, 9783642268298
• Entanglement Between Noncomplementary Parts of Many-Body Systems, Texte imprimé, 9783642193415
• Entanglement Between Noncomplementary Parts of Many-Body Systems, Texte imprimé, 9783642193439
Table des matières:
  • 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.