dorsal/arxiv
View SchemaEntanglement sharing in one-particle states
| Authors | Arul Lakshminarayan, V. Subrahmanyam |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212049 |
| URL | https://arxiv.org/abs/quant-ph/0212049 |
| DOI | 10.1103/PhysRevA.67.052304 |
| Journal | Phys. Rev. A67, 052304 (2003) |
Abstract
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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"abstract": "Entanglement sharing among sites of one-particle states is considered using\nthe measure of concurrence. These are the simplest in an hierarchy of\nnumber-specific states of many qubits and corresponds to ``one-magnon\u0027\u0027 states\nof spins. We study the effects of onsite potentials that are both integrable\nand nonintegrable. In the integrable case we point to a metal-insulator\ntransition that reflects on the way entanglement is shared. In the\nnonintegrable case the average entanglement content increases and saturates\nalong with a transition to classical chaos. Such quantum chaotic states are\nshown to have universal concurrence distributions that are modified Bessel\nfunctions derivable within random matrix theory. Time-reversal breaking and\ntime evolving states are shown to possess significantly higher entanglement\nsharing capacity that eigenstates of time-reversal symmetric systems. We use\nthe ordinary Harper and kicked Harper Hamiltonians as model systems.",
"arxiv_id": "quant-ph/0212049",
"authors": [
"Arul Lakshminarayan",
"V. Subrahmanyam"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.67.052304",
"journal_ref": "Phys. Rev. A67, 052304 (2003)",
"title": "Entanglement sharing in one-particle states",
"url": "https://arxiv.org/abs/quant-ph/0212049"
},
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