English

Scaling of the local quantum uncertainty at quantum phase transitions

Statistical Mechanics 2016-04-06 v3 Quantum Physics

Abstract

We investigate the local quantum uncertainty (LQU) between a block of L qubits and one single qubit in a composite system of n qubits driven through a quantum phase transition (QPT). A first-order QPT is analytically considered through a Hamiltonian implementation of the quantum search. In the case of second-order QPTs, we consider the transverse-field Ising chain via a numerical analysis through density matrix renormalization group. For both cases, we compute the LQU for finite-sizes as a function of L and of the coupling parameter, analyzing its pronounced behavior at the QPT.

Keywords

Cite

@article{arxiv.1508.07382,
  title  = {Scaling of the local quantum uncertainty at quantum phase transitions},
  author = {I. B. Coulamy and J. H. Warnes and M. S. Sarandy and A. Saguia},
  journal= {arXiv preprint arXiv:1508.07382},
  year   = {2016}
}

Comments

7 pages, 10 figures. v3: published version