Extracting work from correlated many-body quantum systems
- URL: http://arxiv.org/abs/2110.06219v1
- Date: Tue, 12 Oct 2021 18:00:00 GMT
- Title: Extracting work from correlated many-body quantum systems
- Authors: Raffaele Salvia and Vittorio Giovannetti
- Abstract summary: The presence of correlations in the input state of a non-interacting many-body quantum system can lead to an increase in the amount of work we can extract from it under global unitary processes.
We observe that in the thermodynamic limit of large number of sites, complete work extraction can be attained for relatively small correlation strength.
- Score: 2.0305676256390934
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The presence of correlations in the input state of a non-interacting
many-body quantum system can lead to an increase in the amount of work we can
extract from it under global unitary processes (ergotropy). The present work
explore such effect on translationally invariant systems relaying on the Matrix
Product Operator formalism to define a measure of how much they are correlated.
We observe that in the thermodynamic limit of large number of sites, complete
work extraction can be attained for relatively small correlation strength (a
reduction of a 2 factor in dB unit). Most importantly such an effect appears
not to be associated with the presence of quantum correlations (e.g.
entanglement) in the input state (classical correlation sources), and to be
attainable by only using incoherent ergotropy. As a byproduct of our analysis
we also present a rigorous formulation of the heuristic typicality argument
first formulated in [Alicki and Fannes, 2013], which gives the maximum work
extractable for a set of many identical quantum systems in the asymptotic
limit.
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