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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: https://hdl.handle.net/21.11116/0000-0007-4075-D Version Permalink: https://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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https://arxiv.org/abs/2005.07304 (Preprint)
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https://dx.doi.org/10.1103/PhysRevResearch.2.033492 (Publisher version)
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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
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 Rev. Type: Peer
 Identifiers: arXiv: 2005.07304
DOI: 10.1103/PhysRevResearch.2.033492
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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