Entanglement sharing in one-particle states
摘要
Entanglement sharing among sites of one-particle states is considered using the measure of concurrence. These are the simplest in an hierarchy of number-specific states of many qubits and corresponds to ``one-magnon'' states of spins. We study the effects of onsite potentials that are both integrable and nonintegrable. In the integrable case we point to a metal-insulator transition that reflects on the way entanglement is shared. In the nonintegrable case the average entanglement content increases and saturates along with a transition to classical chaos. Such quantum chaotic states are shown to have universal concurrence distributions that are modified Bessel functions derivable within random matrix theory. Time-reversal breaking and time evolving states are shown to possess significantly higher entanglement sharing capacity that eigenstates of time-reversal symmetric systems. We use the ordinary Harper and kicked Harper Hamiltonians as model systems.
引用
@article{arxiv.quant-ph/0212049,
title = {Entanglement sharing in one-particle states},
author = {Arul Lakshminarayan and V. Subrahmanyam},
journal= {arXiv preprint arXiv:quant-ph/0212049},
year = {2009}
}
备注
14 Pages, Revtex4. Corrected typos, enlarged content, bigger introduction and more discussions. Final version that will appear in Phys. Rev. A (May, 2003)