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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
13 February 2018
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| In: |
Journal of statistical mechanics: theory and experiment
Year: 2018, Issue: 2 |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/aaa799 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1088/1742-5468/aaa799 Verlag, Volltext: https://doi.org/10.1088%2F1742-5468%2Faaa799 
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| Author Notes: | Walter Hahn, and Boris V. Fine |
MARC
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| 520 | |a 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. | ||
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