Equilibration and Typicality in Quantum Processes
arXiv:2102.02289 · doi:10.26180/13684795.v1
Abstract
Forgetfulness is a common feature of nature. Moreover, without forgetfulness, repeatability would be impossible. Despite this, small systems constantly leak information about their state to their surroundings, and quantum mechanics tells us that this information cannot be deleted, invariably returning to influence their future behaviour. How can physical nature be forgetful if it is forbidden to forget? The results within this thesis bridge this gap between what we see in the real world and what idealised physical theories say, explaining the emergence of forgetful processes from closed quantum dynamics and allowing to quantify the rate at which memory effects become relevant.
arXiv commentPhD Thesis. Includes work related to three original papers: arXiv:1802.10344, arXiv:1905.08469 and arXiv:2004.07620; 116 pages + 14 pages appendix, 25 figures, 240 references
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