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Entanglement Content of Quasiparticle Excitations

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Entanglement Content of Quasiparticle Excitations. / Castro-Alvaredo, O.A.; De Fazio, C.; Doyon, B.; Szécsényi, I.M.

In: Physical Review Letters, Vol. 121, No. 17, 26.10.2018.

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Castro-Alvaredo, OA, De Fazio, C, Doyon, B & Szécsényi, IM 2018, 'Entanglement Content of Quasiparticle Excitations', Physical Review Letters, vol. 121, no. 17. https://doi.org/10.1103/PhysRevLett.121.170602

APA

Castro-Alvaredo, O. A., De Fazio, C., Doyon, B., & Szécsényi, I. M. (2018). Entanglement Content of Quasiparticle Excitations. Physical Review Letters, 121(17). https://doi.org/10.1103/PhysRevLett.121.170602

Vancouver

Castro-Alvaredo OA, De Fazio C, Doyon B, Szécsényi IM. Entanglement Content of Quasiparticle Excitations. Physical Review Letters. 2018 Oct 26;121(17). https://doi.org/10.1103/PhysRevLett.121.170602

Author

Castro-Alvaredo, O.A. ; De Fazio, C. ; Doyon, B. ; Szécsényi, I.M. / Entanglement Content of Quasiparticle Excitations. In: Physical Review Letters. 2018 ; Vol. 121, No. 17.

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@article{498e3dfdff95448e9d605616c86ceb6c,
title = "Entanglement Content of Quasiparticle Excitations",
abstract = "We investigate the quantum entanglement content of quasiparticle excitations in extended many-body systems. We show that such excitations give an additive contribution to the bipartite von Neumann and R{\'e}nyi entanglement entropies that takes a simple, universal form. It is largely independent of the momenta and masses of the excitations and of the geometry, dimension, and connectedness of the entanglement region. The result has a natural quantum information theoretic interpretation as the entanglement of a state where each quasiparticle is associated with two qubits representing their presence within and without the entanglement region, taking into account quantum (in)distinguishability. This applies to any excited state composed of finite numbers of quasiparticles with finite de Broglie wavelengths or finite intrinsic correlation length. This includes particle excitations in massive quantum field theory and gapped lattice systems, and certain highly excited states in conformal field theory and gapless models. We derive this result analytically in one-dimensional massive bosonic and fermionic free field theories and for simple setups in higher dimensions. We provide numerical evidence for the harmonic chain and the two-dimensional harmonic lattice in all regimes where the conditions above apply. Finally, we provide supporting calculations for integrable spin chain models and other interacting cases without particle production. Our results point to new possibilities for creating entangled states using many-body quantum systems. {\textcopyright} 2018 American Physical Society.",
author = "O.A. Castro-Alvaredo and {De Fazio}, C. and B. Doyon and I.M. Sz{\'e}cs{\'e}nyi",
note = "Export Date: 7 November 2018",
year = "2018",
month = oct,
day = "26",
doi = "10.1103/PhysRevLett.121.170602",
language = "English",
volume = "121",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "17",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Entanglement Content of Quasiparticle Excitations

AU - Castro-Alvaredo, O.A.

AU - De Fazio, C.

AU - Doyon, B.

AU - Szécsényi, I.M.

N1 - Export Date: 7 November 2018

PY - 2018/10/26

Y1 - 2018/10/26

N2 - We investigate the quantum entanglement content of quasiparticle excitations in extended many-body systems. We show that such excitations give an additive contribution to the bipartite von Neumann and Rényi entanglement entropies that takes a simple, universal form. It is largely independent of the momenta and masses of the excitations and of the geometry, dimension, and connectedness of the entanglement region. The result has a natural quantum information theoretic interpretation as the entanglement of a state where each quasiparticle is associated with two qubits representing their presence within and without the entanglement region, taking into account quantum (in)distinguishability. This applies to any excited state composed of finite numbers of quasiparticles with finite de Broglie wavelengths or finite intrinsic correlation length. This includes particle excitations in massive quantum field theory and gapped lattice systems, and certain highly excited states in conformal field theory and gapless models. We derive this result analytically in one-dimensional massive bosonic and fermionic free field theories and for simple setups in higher dimensions. We provide numerical evidence for the harmonic chain and the two-dimensional harmonic lattice in all regimes where the conditions above apply. Finally, we provide supporting calculations for integrable spin chain models and other interacting cases without particle production. Our results point to new possibilities for creating entangled states using many-body quantum systems. © 2018 American Physical Society.

AB - We investigate the quantum entanglement content of quasiparticle excitations in extended many-body systems. We show that such excitations give an additive contribution to the bipartite von Neumann and Rényi entanglement entropies that takes a simple, universal form. It is largely independent of the momenta and masses of the excitations and of the geometry, dimension, and connectedness of the entanglement region. The result has a natural quantum information theoretic interpretation as the entanglement of a state where each quasiparticle is associated with two qubits representing their presence within and without the entanglement region, taking into account quantum (in)distinguishability. This applies to any excited state composed of finite numbers of quasiparticles with finite de Broglie wavelengths or finite intrinsic correlation length. This includes particle excitations in massive quantum field theory and gapped lattice systems, and certain highly excited states in conformal field theory and gapless models. We derive this result analytically in one-dimensional massive bosonic and fermionic free field theories and for simple setups in higher dimensions. We provide numerical evidence for the harmonic chain and the two-dimensional harmonic lattice in all regimes where the conditions above apply. Finally, we provide supporting calculations for integrable spin chain models and other interacting cases without particle production. Our results point to new possibilities for creating entangled states using many-body quantum systems. © 2018 American Physical Society.

U2 - 10.1103/PhysRevLett.121.170602

DO - 10.1103/PhysRevLett.121.170602

M3 - Article

VL - 121

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

ER -

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