Entanglement and its facets in condensed matter systems
arXiv:0810.1240
Abstract
This thesis poses a selection of recent research of the author in a common context. It starts with a selected review on research concerning the role entanglement might play at quantum phase transitions and introduces measures for entanglement used for this analysis. A selection of results from this research is given and proposed as evidence for the relevance of multipartite entanglement in this context. A constructive method for an SLOCC classification and quantification of multipartite qubit entanglement is outlined and results for convex roof extensions of the resulting measures are briefly discussed on a specific example. At the end, a transformation of antilinear expectation values into linear expectation values is presented which admits an expression of the aforementioned measures of genuine multipartite entanglement in terms of spin correlation function, hence making them experimentally accessible.
61 pages, 14 figures, submitted as habilitation thesis on June 26th 2007. Error in one formula for the translation into linear framework corrected. Main part in english; acknowledgement and abstract in german. arXiv admin note: substantial text overlap with arXiv:quant-ph/0703044 by other authors
References in corpus (24)
- Quantum entanglement
- Multi-party entanglement in graph states
- General Monogamy Inequality for Bipartite Qubit Entanglement
- On the quantum, classical and total amount of correlations in a quantum state
- Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
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- Constructing N-qubit entanglement monotones from anti-linear operators
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- Quantum phase transitions and quantum fidelity in free fermion graphs
- Entanglement constrained by superselection rules
- Entanglement of indistinguishable particles in condensed matter physics
- Geometrical aspects of entanglement
- Coherent states, entanglement, and geometric invariant theory
- Useful entanglement from the Pauli principle
- Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking
- Increasing identical particle entanglement by fuzzy measurements
- Entanglement of Collaboration
- Quantum coherences, K-way negativities and multipartite entanglement
- Multipartite entanglement characterization of a quantum phase transition
- Full Additivity of the Entanglement of Formation
- Characterizing quantum phase transitions by single qubit operations
- How to fool the GHZ and W witnesses
- A characterization of global entanglement