Quantifying stability of quantum statistical ensembles
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 n...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
13 February 2018
|
| In: |
Journal of statistical mechanics: theory and experiment
Year: 2018, Heft: 2 |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/aaa799 |
| Online-Zugang: | Verlag, Volltext: https://doi.org/10.1088/1742-5468/aaa799 Verlag, Volltext: https://doi.org/10.1088%2F1742-5468%2Faaa799 |
| Verfasserangaben: | Walter Hahn, and Boris V. Fine |
| Zusammenfassung: | 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 different temperatures in a periodic chain of interacting spins-. 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. |
|---|---|
| Beschreibung: | Gesehen am 20.08.2019 |
| Beschreibung: | Online Resource |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/aaa799 |