Entanglement entropy at quantum critical points: Can you ... - INFN
Entanglement entropy at quantum critical points: Can you ... - INFN
Entanglement entropy at quantum critical points: Can you ... - INFN
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Mapping to a 2D c = 1 Euclidean CFT<br />
• The probability for a configur<strong>at</strong>ion |ϕ〉 is the Gibbs weight of a 2D classical<br />
Gaussian model, a Euclidean 2D free massless scalar field.<br />
• At these <strong>quantum</strong> <strong>critical</strong> <strong>points</strong> the ground st<strong>at</strong>e wave function is scale invariant<br />
• The equal-time expect<strong>at</strong>ion values of the observables are correl<strong>at</strong>ors in this c = 1<br />
conformal field theory.<br />
• The equal-time expect<strong>at</strong>ion value for oper<strong>at</strong>ors in the <strong>quantum</strong> Lifshitz model are<br />
given by correl<strong>at</strong>ors of the massless free boson conformal field theory with central<br />
charge c = 1. Time-dependent correl<strong>at</strong>ors exhibit power-law behavior with<br />
dynamical exponent z = 2.<br />
• M<strong>at</strong>ching the correl<strong>at</strong>ion functions of the RK and Lifshitz models, one finds<br />
κ = 1/2π.<br />
• This is a multi<strong>critical</strong> point with many relevant perturb<strong>at</strong>ions: e.g diagonal dimers<br />
drive the system into a Z 2 topological phase<br />
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