Global and local thermometry schemes in coupled quantum systems

Steve Campbell, Mohammad Mehboudi, Gabriele De Chiara, Mauro Paternostro

    Research output: Contribution to journalArticleResearchpeer-review

    10 Citations (Scopus)

    Abstract

    © 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We study the ultimate bounds on the estimation of temperature for an interacting quantum system. We consider two coupled bosonic modes that are assumed to be thermal and using quantum estimation theory establish the role the Hamiltonian parameters play in thermometry. We show that in the case of a conserved particle number the interaction between the modes leads to a decrease in the overall sensitivity to temperature, while interestingly, if particle exchange is allowed with the thermal bath the converse is true. We explain this dichotomy by examining the energy spectra. Finally, we devise experimentally implementable thermometry schemes that rely only on locally accessible information from the total system, showing that almost Heisenberg limited precision can still be achieved, and we address the (im)possibility for multiparameter estimation in the system.
    Original languageEnglish
    Article number103003
    JournalNew Journal of Physics
    Volume19
    Issue number10
    DOIs
    Publication statusPublished - 3 Oct 2017

    Keywords

    • Bose-Hubbard model
    • quantum estimation theory
    • quantum thermodynamics
    • thermometry

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