Entanglement Between Noncomplementary Parts of Many-Body Systems

• Main Author: Wichterich, Hannu Christian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Springer Theses ; 1
• Subjects: Physics.; Quantum physics.; Superconductivity.; Superconductors.; Phase transitions (Statistical physics).; Quantum Physics.; Strongly Correlated Systems, Superconductivity.; Phase Transitions and Multiphase 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...

Table of Contents:

• 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.