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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...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Édition: | 1st ed. 2011. |
| Collection: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Sujets: | |
| Accès en ligne: | Texto Completo |
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.