Entanglement sharing in one-particle states

Details Entanglement sharing in one-particle states Entanglement sharing in one-particle states

2002-12-09

arxiv.org/abs/quant-ph/0212049v3

Phys. Rev. A67, 052304 (2003)

Physics

Quantum Physics

14 Pages, Revtex4. Corrected typos, enlarged content, bigger introduction and more discussions. Final version that will appear

Scientific paper

10.1103/PhysRevA.67.052304

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.

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