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Title: Spurious long-range entanglement and replica correlation length

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 7; Related Information: CHORUS Timestamp: 2016-08-25 18:09:16; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Zou, Liujun, and Haah, Jeongwan. Spurious long-range entanglement and replica correlation length. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.075151.
Zou, Liujun, & Haah, Jeongwan. Spurious long-range entanglement and replica correlation length. United States. doi:10.1103/PhysRevB.94.075151.
Zou, Liujun, and Haah, Jeongwan. 2016. "Spurious long-range entanglement and replica correlation length". United States. doi:10.1103/PhysRevB.94.075151.
title = {Spurious long-range entanglement and replica correlation length},
author = {Zou, Liujun and Haah, Jeongwan},
abstractNote = {},
doi = {10.1103/PhysRevB.94.075151},
journal = {Physical Review B},
number = 7,
volume = 94,
place = {United States},
year = 2016,
month = 8

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.94.075151

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Cited by: 1work
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  • A systematic route to go beyond the exact exchange plus random phase approximation (RPA) is to include a physical exchange-correlation kernel in the adiabatic-connection fluctuation-dissipation theorem. Previously, [D. Lu, J. Chem. Phys. 140, 18A520 (2014)], we found that non-local kernels with a screening length depending on the local Wigner-Seitz radius, r s(r), suffer an error associated with a spurious long-range repulsion in van der Waals bounded systems, which deteriorates the binding energy curve as compared to RPA. Here, we analyze the source of the error and propose to replace r s(r) by a global, average r s in the kernel.more » Exemplary studies with the Corradini, del Sole, Onida, and Palummo kernel show that while this change does not affect the already outstanding performance in crystalline solids, using an average r s significantly reduces the spurious long-range tail in the exchange-correlation kernel in van der Waals bounded systems. Finally, when this method is combined with further corrections using local dielectric response theory, the binding energy of the Kr dimer is improved three times as compared to RPA.« less
  • A method is studied wherein two noninteracting quantum subsystems, that each interact with a third subsystem, are entangled via repeated projective measurements of the state of the third subsystem. A variety of condensed matter and quantum optical examples are presented. The method can be used to establish long range entanglement between distant parties in one parallel measurement step, thus obviating the need for entanglement swapping.
  • We describe a phase transition for long-range entanglement in a three-dimensional cluster state affected by noise. The partially decohered state is modeled by the thermal state of a short-range translation-invariant Hamiltonian. We find that the temperature at which the entanglement length changes from infinite to finite is nonzero. We give an upper and lower bound to this transition temperature.