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Entanglement Entropy in Extended Quantum Systems · Around

2007

Entanglement Entropy in Extended Quantum Systems

Cardy, John

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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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P. Calabrese and J. Cardy, J. Stat. Mech
2004
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