entanglement entropy of disconnected regions - Staff.city.ac.uk - City ...
entanglement entropy of disconnected regions - Staff.city.ac.uk - City ...
entanglement entropy of disconnected regions - Staff.city.ac.uk - City ...
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– The maximally entangled state |gs〉 = 1 √<br />
2<br />
(| ↑ ↓ 〉 + | ↓ ↑ 〉):<br />
ρ 1 st spin = 1 (<br />
2 (| ↑ 〉〈 ↑ |+| ↓ 〉〈 ↓ |) ⇒ S 1 st spin = −2× − log( √ )<br />
2)<br />
= log(2)<br />
• In general the <strong>entanglement</strong> <strong>entropy</strong> is not “directional”, that is S A = S A<br />
.<br />
• We can think <strong>of</strong> the <strong>entropy</strong> as counting the number <strong>of</strong> “connections” between A and Ā.