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  Quantum Zermelo problem for general energy resource bounds

Bofill, J. M., Sanz, A. S., Albareda Piquer, G., Moreira, I. P. R., & Quapp, W. (2020). Quantum Zermelo problem for general energy resource bounds. Physical Review Research, 2(3): 033492. doi:10.1103/PhysRevResearch.2.033492.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0007-4075-D Version Permalink: http://hdl.handle.net/21.11116/0000-0007-B880-8
Genre: Journal Article

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PhysRevResearch.2.033492.pdf (Publisher version), 367KB
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PhysRevResearch.2.033492.pdf
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Open Access. - Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
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2020
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https://arxiv.org/abs/2005.07304 (Preprint)
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 Creators:
Bofill, J. M.1, 2, Author
Sanz, A. S.3, Author
Albareda Piquer, G.2, 4, 5, Author              
Moreira, I. P. R.2, 6, Author
Quapp, W.7, Author
Affiliations:
1Departament de Quìmica Inorgànica i Orgànica, Secció de Química Orgànica, Universitat de Barcelona, ou_persistent22              
2Institut de Quìmica Teòrica i Computacional (IQTCUB), Universitat de Barcelona, ou_persistent22              
3Department of Optics, Faculty of Physical Sciences, Universidad Complutense de Madrid, ou_persistent22              
4Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
5Center for Free-Electron Laser Science, ou_persistent22              
6Departament de Ciència de Materials i Química Física, Secciò de Química Orgànica, Universitat de Barcelona, ou_persistent22              
7Mathematisches Institut, Universität Leipzig, ou_persistent22              

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 Abstract: A solution to the quantum Zermelo problem for control Hamiltonians with general energy resource bounds is provided. Interestingly, the energy resource of the control Hamiltonian and the control time define a pair of conjugate variables that minimize the energy-time uncertainty relation. The resulting control protocol is applied to a single qubit as well as to a two-interacting qubit system represented by a Heisenberg spin dimer. For these low-dimensional systems, it is found that physically realizable control Hamiltonians exist only for certain quantized energy resources.

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Language(s): eng - English
 Dates: 2020-05-122020-08-242020-09-25
 Publication Status: Published online
 Pages: -
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 Rev. Type: Peer
 Identifiers: arXiv: 2005.07304
DOI: 10.1103/PhysRevResearch.2.033492
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Project name : -
Grant ID : 752822
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

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Title: Physical Review Research
Source Genre: Journal
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Publ. Info: College Park, Maryland, United States : American Physical Society (APS)
Pages: - Volume / Issue: 2 (3) Sequence Number: 033492 Start / End Page: - Identifier: ISSN: 2643-1564
CoNE: https://pure.mpg.de/cone/journals/resource/2643-1564