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001 | u375819 | ||
003 | SIRSI | ||
005 | 20160812084342.0 | ||
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008 | 110517s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642193422 _9978-3-642-19342-2 |
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040 | _cMX-MeUAM | ||
050 | 4 | _aQC173.96-174.52 | |
082 | 0 | 4 |
_a530.12 _223 |
100 | 1 |
_aWichterich, Hannu Christian. _eauthor. |
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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. |
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300 |
_aXII, 116 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aSpringer Theses ; _v1 |
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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 |
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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 | ||
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_c203699 _d203699 |