Finite-time Landauer principle beyond weak coupling
- URL: http://arxiv.org/abs/2211.02065v3
- Date: Tue, 24 Oct 2023 09:33:43 GMT
- Title: Finite-time Landauer principle beyond weak coupling
- Authors: Alberto Rolandi and Mart\'i Perarnau-Llobet
- Abstract summary: We develop a finite-time version of Landauer's principle for a bit encoded in the occupation of a single fermionic mode.
We characterize a finite-time correction to Landauer's bound, fully taking into account non-markovian and strong coupling effects.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Landauer's principle gives a fundamental limit to the thermodynamic cost of
erasing information. Its saturation requires a reversible isothermal process,
and hence infinite time. We develop a finite-time version of Landauer's
principle for a bit encoded in the occupation of a single fermionic mode, which
can be strongly coupled to a reservoir. By solving the exact non-equilibrium
dynamics, we optimize erasure processes (taking both the fermion's energy and
system-bath coupling as control parameters) in the slow driving regime through
a geometric approach to thermodynamics. We find analytic expressions for the
thermodynamic metric and geodesic equations, which can be solved numerically.
Their solution yields optimal processes that allow us to characterize a
finite-time correction to Landauer's bound, fully taking into account
non-markovian and strong coupling effects.
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