Quantifying stability of quantum statistical ensembles

Walter Hahn, Boris V. Fine

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We investigate different measures of stability of quantum statistical ensembles with respect to local measurements. We call a quantum statistical ensemble ‘stable’ if a small number of local measurements cannot significantly modify the total-energy distribution representing the ensemble. First, we numerically calculate the evolution of the stability measure introduced in our previous work Hahn and Fine (2016 Phys. Rev. E 94 062106) for an ensemble representing a mixture of two canonical ensembles with very dierent temperatures in a periodic chain of interacting spins-12. Second, we propose other possible stability measures and discuss their advantages and disadvantages. We also show that, for small system sizes available to numerical simulations of local measurements, finite-size effects are rather pronounced.

    Original languageEnglish
    Article number023107
    JournalJournal of Statistical Mechanics: Theory and Experiment
    Volume2018
    Issue number2
    DOIs
    Publication statusPublished - 2018

    Keywords

    • Ladders and planes
    • Quantum thermalization
    • Spin chains

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