Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Speed Limit Bounds in an Open Quantum Evolution   Quantum mechanics dictates bounds for the minimal evolution time between
predetermined initial and final states. Several of these Quantum Speed Limit
(QSL) bounds were derived for non-unitary dynamics using different approaches.
Here, we perform a systematic analysis of the most common QSL bounds in the
damped Jaynes-Cummings model, covering the Markovian and non-Markovian regime.
We show that only one of the analysed bounds cleaves to the essence of the QSL
theory outlined in the pioneer works of Mandelstam \& Tamm and Margolus \&
Levitin in the context of unitary evolutions. We also show that all of QSL
bounds analysed reflect the fact that in our model non-Markovian effects speed
up the quantum evolution. However, it is not possible to infer the Markovian or
non-Markovian behaviour of the dynamics only analysing the QSL bounds.

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The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int