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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-19342-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220114182054.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110517s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642193422 |9 978-3-642-19342-2 | ||
| 024 | 7 | |a 10.1007/978-3-642-19342-2 |2 doi | |
| 050 | 4 | |a QC173.96-174.52 | |
| 072 | 7 | |a PHQ |2 bicssc | |
| 072 | 7 | |a SCI057000 |2 bisacsh | |
| 072 | 7 | |a PHQ |2 thema | |
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| 100 | 1 | |a Wichterich, Hannu Christian. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Entanglement Between Noncomplementary Parts of Many-Body Systems |h [electronic resource] / |c by Hannu Christian Wichterich. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XII, 116 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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 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 | |a Quantum physics. | |
| 650 | 0 | |a Superconductivity. | |
| 650 | 0 | |a Superconductors. | |
| 650 | 0 | |a Condensed matter. | |
| 650 | 1 | 4 | |a Quantum Physics. |
| 650 | 2 | 4 | |a Superconductivity. |
| 650 | 2 | 4 | |a Phase Transitions and Multiphase Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642268298 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642193415 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642193439 |
| 830 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-19342-2 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||