Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 64, Issue 3-4, Pages 321-326Publisher
SPRINGER
DOI: 10.1140/epjb/e2008-00102-5
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Funding
- EPSRC [GR/R83712/01, EP/D050952/1]
- EPSRC [EP/D050952/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [GR/R83712/01, EP/D050952/1] Funding Source: researchfish
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After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of freedom in different regions of space. Close to a quantum phase transition it has universal features which serve as a diagnostic of such phenomena. In the second part I consider the unitary time evolution of such systems following a 'quantum quench' in which a parameter in the Hamiltonian is suddenly changed, and argue that finite regions should effectively thermalise at late times, after interesting transient effects.
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