Microscopic contributions to the entropy production at all times: From
nonequilibrium steady states to global thermalization
- URL: http://arxiv.org/abs/2309.11812v2
- Date: Fri, 23 Feb 2024 10:40:41 GMT
- Title: Microscopic contributions to the entropy production at all times: From
nonequilibrium steady states to global thermalization
- Authors: Ayaka Usui, Krzysztof Ptaszy\'nski, Massimiliano Esposito, Philipp
Strasberg
- Abstract summary: We numerically study microscopic contributions to the entropy production for the single electron transistor.
We find that the entropy production is dominated for most times by microscopic deviations from thermality in the baths.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Based on exact integration of the Schr\"odinger equation, we numerically
study microscopic contributions to the entropy production for the single
electron transistor, a paradigmatic model describing a single Fermi level
tunnel coupled to two baths of free fermions. To this end, we decompose the
entropy production into a sum of information theoretic terms and study them
across all relevant time scales, including the nonequilibrium steady state
regime and the final stage of global thermalization. We find that the entropy
production is dominated for most times by microscopic deviations from
thermality in the baths and the correlation between (but not inside) the baths.
Despite these microscopic deviations from thermality, the temperatures and
chemical potentials of the baths thermalize as expected, even though our model
is integrable. Importantly, this observation is confirmed for both initially
mixed and pure states. We further observe that the bath-bath correlations are
quite insensitive to the system-bath coupling strength contrary to intuition.
Finally, the system-bath correlation, small in an absolute sense, dominates in
a relative sense and displays pure quantum correlations for all studied
parameter regimes.
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