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Entanglement entropy at quantum critical points: Can you ... - INFN

Entanglement entropy at quantum critical points: Can you ... - INFN

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Conclusions<br />

• We examined the behavior of the Von Neumann entanglement <strong>entropy</strong> for a class of<br />

<strong>quantum</strong> <strong>critical</strong> <strong>points</strong> in 2 + 1 dimensions with conformally invariant wave<br />

functions<br />

• These <strong>quantum</strong> <strong>critical</strong> <strong>points</strong> are proxim<strong>at</strong>e to topological phases and can be used to<br />

access them<br />

• The entanglement <strong>entropy</strong> <strong>at</strong> these conformal <strong>quantum</strong> <strong>critical</strong> <strong>points</strong> also has<br />

universal logarithmic terms which become manifest in topology changing processes<br />

• This result suggests th<strong>at</strong> the entanglement <strong>entropy</strong> is sensitive to global properties<br />

not only in topological phases but also <strong>at</strong> <strong>quantum</strong> <strong>critical</strong>ity.<br />

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