S. I. Doronin, A. N. Pyrkov, É. B. Fel'dman, “Entanglement in alternating open chains of nuclear spins $s=1/2$ with the XY Hamiltonian”, Pis'ma v Zh. Èksper. Teoret. Fiz., 85:10 (2007), 627–631; JETP Letters, 85:10 (2007), 519

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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2007, Volume 85, Issue 10, Pages 627–631 (Mi jetpl1043)

This article is cited in 39 scientific papers (total in 39 papers)

CONDENSED MATTER

Entanglement in alternating open chains of nuclear spins

$s=1/2$ with the XY Hamiltonian

S. I. Doronin, A. N. Pyrkov, É. B. Fel'dman

Institute of Problems of Chemical Physics, Russian Academy of Sciences

Full-text PDF (586 kB) Citations (39)

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Abstract: Entanglement is studied in an open alternating chain of nuclear spins s = 1/2 with spin-spin couplings in an external magnetic field under the thermodynamic equilibrium conditions. A reduced density matrix has been calculated for an arbitrarily chosen spin pair. The entanglement of the spin pair has been estimated according to the Wootters criterion. The temperature at which an entangled state appears in a chosen pair has been determined. It has been shown that the numerical characteristics of the entanglement are oscillating functions of the position of the spin pair in the chain.

Received: 29.03.2007
Revised: 16.04.2007

English version:
Journal of Experimental and Theoretical Physics Letters, 2007, Volume 85, Issue 10, Pages 519–523
DOI: https://doi.org/10.1134/S0021364007100104

Bibliographic databases:

Document Type: Article

PACS: 03.67.Mn, 75.10.Jm

Language: Russian

Citation: S. I. Doronin, A. N. Pyrkov, É. B. Fel'dman, “Entanglement in alternating open chains of nuclear spins

$s=1/2$ with the XY Hamiltonian”, Pis'ma v Zh. Èksper. Teoret. Fiz., 85:10 (2007), 627–631; JETP Letters, 85:10 (2007), 519–523

Linking options:

https://www.mathnet.ru/eng/jetpl1043

https://www.mathnet.ru/eng/jetpl/v85/i10/p627

This publication is cited in the following 39 articles:

Gregory Furman, Vladimir Sokolovsky, Quantum Inf Process, 23:6 (2024)
M. Youssef, S. I. Ali, M. Y. Abd-Rabbou, A. -S. F. Obada, Quantum Inf Process, 22:6 (2023)
G. B. Furman, V. L. Sokolovsky, Quantum Inf Process, 22:12 (2023)
Wang H., Cheng Q.-B., Kong X., Guo C.-X., Wu Ya.-J., Kou S.-P., Mod. Phys. Lett. B, 34:36 (2020), 2150087
Furman G.B., Goren S.D., Meerovich V.M., Sokolovsky V.L., Kozyrev A.B., Quantum Inf. Process., 18:3 (2019), 66
Furman G.B., Goren S.D., Meerovich V.M., Sokolovsky V.L., Int. J. Quantum Inf., 16:1 (2018), 1850008
Furman G.B., Goren Sh.D., Meerovich V.M., Sokolovsky V.L., J. Phys. Commun., 1:4 (2017), UNSP 045009
Furman G.B., Meerovich V.M., Sokolovsky V.L., Quantum Inf. Process., 16:9 (2017), UNSP 206
Boette A., Rossignoli R., Canosa N., Matera J.M., Phys. Rev. B, 94:21 (2016), 214403
Shi Z.C., Hou S.C., Wang L.C., Yi X.X., Ann. Phys., 373 (2016), 286–297
Boette A., Rossignoli R., Canosa N., Matera J.M., Phys. Rev. B, 91:6 (2015), 064428
Das A. Bhadra S. Saha S., Quantum Inf. Process., 14:11 (2015), 4089–4102
Fel'dman E.B., Zenchuk A.I., Quantum Inf. Process., 13:2 (2014), 201–225
Liu B.-Q., Wu L.-A., Zeng G.-M., Song J.-M., Luo W., Lei Ya., Sun G.-A., Chen B., Peng Sh.-M., Phys. Lett. A, 378:46 (2014), 3441–3444
Rafiee M., Mokhtari H., Phys. Rev. A, 87:2 (2013), 022304
Eskandari M.R., Rezaee L., Int. J. Mod. Phys. B, 26:32 (2012), 1250184
Furman G.B., Meerovich V.M., Sokolovsky V.L., Quantum Inf. Process., 11:6 (2012), 1603–1617
Fel'dman E.B., Kuznetsova E.I., Yurishchev M.A., J. Phys. A-Math. Theor., 45:47 (2012), 475304
Fel'dman E.B., Pyrkov A.N., Zenchuk A.I., Philos. Trans. R. Soc. A-Math. Phys. Eng. Sci., 370:1976, SI (2012), 4690–4712
Aldoshin S.M., Zenchuk A.I., Fel'dman E.B., Yurishchev M.A., Russ. Chem. Rev., 81:2 (2012), 91–104

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Related articles in Google Scholar: Russian articles, English articles

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