Entanglement-assisted local operations and classical communications conversion in the quantum critical systems

摘要

Conversions between the ground states in quantum critical systems viaentanglement-assisted local operations and classical communications (eLOCC) arestudied. We propose a new method to reveal the different convertibility bylocal operations when a quantum phase transition occurs. We have studied theground state local convertibility in the one dimensional transverse field Isingmodel, XY model and XXZ model. It is found that the eLOCC convertibility suddenchanges at the phase transition points. In transverse field Ising model theeLOCC convertibility between the first excited state and the ground state arealso distinct for different phases. The relation between the order of quantumphase transitions and the local convertibility is discussed.