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On quantum complexity
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DOI：10.1016/j.physletb.2023.137979.png)
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Abstract
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The ETH ansatz for matrix elements of a given operator in the energy eigenstate basis results in a notion of thermalization for a chaotic system. In this context for a certain quantity -to be found for a given model -one may impose a particular condition on its matrix elements in the energy eigenstate basis so that the corresponding quantity exhibits linear growth at late times. The condition is to do with a possible pole structure the corresponding matrix elements may have. Based on the general expectation of complexity one may want to think of this quantity as a possible candidate for the quantum complexity. We note, however, that for the explicit examples we have considered in this paper, there are infinitely many quantities exhibiting similar behavior. & COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.
Keywords:
ETH
Complexity
Journal
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4.5
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3.2W
Citations:
7.3W
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