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020 _a9783642193422
_9978-3-642-19342-2
040 _cMX-MeUAM
050 4 _aQC173.96-174.52
082 0 4 _a530.12
_223
100 1 _aWichterich, Hannu Christian.
_eauthor.
245 1 0 _aEntanglement Between Noncomplementary Parts of Many-Body Systems
_h[recurso electrónico] /
_cby Hannu Christian Wichterich.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXII, 116 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses ;
_v1
505 0 _aIntroduction -- 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.
520 _aThis 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 precious resource which, for example, enables the noiseless and instant transmission of quantum information, provided the communicating parties share a sufficient "amount" of it. Furthermore, measures of entanglement of a quantum mechanical state are perceived as useful probes of collective properties of many-body systems. For instance, certain measures are capable of detecting and classifying ground-state phases and, particularly, transition (or critical) points separating such phases. Chapters 2 and 3 focus on entanglement in many-body systems and its use as a potential resource for communication protocols. They address the questions of how a substantial amount of entanglement can be established between distant subsystems, and how efficiently this entanglement could be "harvested" by way of measurements. The subsequent chapters 4 and 5 are devoted to universality of entanglement between large collections of particles undergoing a quantum phase transition, where, despite the enormous complexity of these systems, collective properties including entanglement no longer depend crucially on the microscopic details.    
650 0 _aPhysics.
650 0 _aQuantum theory.
650 1 4 _aPhysics.
650 2 4 _aQuantum Physics.
650 2 4 _aStrongly Correlated Systems, Superconductivity.
650 2 4 _aPhase Transitions and Multiphase Systems.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642193415
830 0 _aSpringer Theses ;
_v1
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-19342-2
596 _a19
942 _cLIBRO_ELEC
999 _c203699
_d203699