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    Rights statement: Copyright 2018 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 59, (3) 2018 and may be found at http://dx.doi.org/10.1063/1.5016495 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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Dynamical decoupling of unbounded Hamiltonians

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Dynamical decoupling of unbounded Hamiltonians. / Arenz, Christian; Burgarth, Daniel; Facchi, Paolo; Hillier, Robin Oliver.

In: Journal of Mathematical Physics, Vol. 59, No. 3, 032203, 20.03.2018.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Arenz, C, Burgarth, D, Facchi, P & Hillier, RO 2018, 'Dynamical decoupling of unbounded Hamiltonians', Journal of Mathematical Physics, vol. 59, no. 3, 032203. https://doi.org/10.1063/1.5016495

APA

Arenz, C., Burgarth, D., Facchi, P., & Hillier, R. O. (2018). Dynamical decoupling of unbounded Hamiltonians. Journal of Mathematical Physics, 59(3), [032203]. https://doi.org/10.1063/1.5016495

Vancouver

Arenz C, Burgarth D, Facchi P, Hillier RO. Dynamical decoupling of unbounded Hamiltonians. Journal of Mathematical Physics. 2018 Mar 20;59(3). 032203. https://doi.org/10.1063/1.5016495

Author

Arenz, Christian ; Burgarth, Daniel ; Facchi, Paolo ; Hillier, Robin Oliver. / Dynamical decoupling of unbounded Hamiltonians. In: Journal of Mathematical Physics. 2018 ; Vol. 59, No. 3.

Bibtex

@article{2adba0b5c7a04e668a181ee2f77d6d30,
title = "Dynamical decoupling of unbounded Hamiltonians",
abstract = "We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical decoupling, is known to work for bounded interactions, but physical environments such as bosonic heat baths are usually modeled with unbounded interactions; hence, here, we initiate a systematic study of dynamical decoupling for unbounded operators. We develop a sufficient decoupling criterion for arbitrary Hamiltonians and a necessary decoupling criterion for semibounded Hamiltonians. We give examples for unbounded Hamiltonians where decoupling works and the limiting evolution as well as the convergence speed can be explicitly computed. We show that decoupling does not always work for unbounded interactions and we provide both physically and mathematically motivated examples.",
author = "Christian Arenz and Daniel Burgarth and Paolo Facchi and Hillier, {Robin Oliver}",
note = "Copyright 2018 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 59, (3) 2018 and may be found at http://dx.doi.org/10.1063/1.5016495 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.",
year = "2018",
month = mar,
day = "20",
doi = "10.1063/1.5016495",
language = "English",
volume = "59",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "3",

}

RIS

TY - JOUR

T1 - Dynamical decoupling of unbounded Hamiltonians

AU - Arenz, Christian

AU - Burgarth, Daniel

AU - Facchi, Paolo

AU - Hillier, Robin Oliver

N1 - Copyright 2018 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 59, (3) 2018 and may be found at http://dx.doi.org/10.1063/1.5016495 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

PY - 2018/3/20

Y1 - 2018/3/20

N2 - We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical decoupling, is known to work for bounded interactions, but physical environments such as bosonic heat baths are usually modeled with unbounded interactions; hence, here, we initiate a systematic study of dynamical decoupling for unbounded operators. We develop a sufficient decoupling criterion for arbitrary Hamiltonians and a necessary decoupling criterion for semibounded Hamiltonians. We give examples for unbounded Hamiltonians where decoupling works and the limiting evolution as well as the convergence speed can be explicitly computed. We show that decoupling does not always work for unbounded interactions and we provide both physically and mathematically motivated examples.

AB - We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical decoupling, is known to work for bounded interactions, but physical environments such as bosonic heat baths are usually modeled with unbounded interactions; hence, here, we initiate a systematic study of dynamical decoupling for unbounded operators. We develop a sufficient decoupling criterion for arbitrary Hamiltonians and a necessary decoupling criterion for semibounded Hamiltonians. We give examples for unbounded Hamiltonians where decoupling works and the limiting evolution as well as the convergence speed can be explicitly computed. We show that decoupling does not always work for unbounded interactions and we provide both physically and mathematically motivated examples.

U2 - 10.1063/1.5016495

DO - 10.1063/1.5016495

M3 - Journal article

VL - 59

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

M1 - 032203

ER -