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Entanglement in Extended Quantum Systems

John Cardy ( University of Oxford )

In recent years quantum entanglement between the degrees of freedom in different spatial regions has been used to characterise the properties of the ground state of interacting many-body systems. In particular the entanglement entropy is accessible both numerically and in some cases analytically, and exhibits a characteristic scaling behaviour with the size of the subsystem close to a quantum phase transition. For one-dimensional systems this scaling is logarithmic with a universal prefactor, while in higher dimensions the so-called area law holds, with, however, interesting universal correction terms.

In this talk I will try to explain these some of these results and methods in a non-technical manner.

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