Artículos de revistas
Universal behavior of the Shannon mutual information of critical quantum chains
Fecha
2013-07Registro en:
Physical Review Letters, College Park : American Physical Society - APS,v. 111, n. 1, p. 017201-017201-5, July 2013
0031-9007
10.1103/PhysRevLett.111.017201
Autor
Alcaraz, Francisco Castilho
Rajabpour, M. A.
Institución
Resumen
We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as happens with the entanglement entropy, its finite-size behavior yields the conformal anomaly c of the underlying conformal field theory governing the long-distance physics of the quantum chain. We study analytically a chain of coupled harmonic oscillators and numerically the Q-state Potts models (Q = 2, 3, and 4), the XXZ quantum chain, and the spin-1 Fateev-Zamolodchikov model. The Shannon mutual information is a quantity easily computed, and our results indicate that for relatively small lattice sizes, its finite-size behavior already detects the universality class of quantum critical behavior.