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SUMMARY:The role of ergotropy in the quantum thermodynamics
DTSTART;VALUE=DATE-TIME:20201204T124000Z
DTEND;VALUE=DATE-TIME:20201204T130000Z
DTSTAMP;VALUE=DATE-TIME:20220809T235603Z
UID:indico-contribution-392@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Marcin Ċobejko (University of Gdansk)\nErgotropy is
a state function of a density matrix which physical interpretation is the
optimal work that can be extracted through the arbitrary unitary channel.
The concept naturally appears in frameworks with implicit work reservoirs
(e.g. external fields modeled by time-dependent Hamiltonians)\, where\, i
n particular\, the process of charging and discharging of so-called quantu
m batteries is studied. We reveal that the same quantity appears in autono
mous systems with an idealized model of the work reservoir - a quantum wei
ght. Despite similarities between those two approaches\, we reveal a funda
mental difference\, namely the emergence of the locked energy in coherence
s\, i.e. the quantum part of the state that contributes to ergotropy but c
annot be extracted as a work. Furthermore\, we prove the relation between
the ergotropy and free energy\, where the former can be interpreted as a g
eneralization of the latter for systems coupled to finite-size heat baths\
, such that in the thermodynamic limit the total ergotropy of the system a
nd the heat bath approaches the free energy. As a consequence\, we derive
the second kind of locked energy\, due to the finite-size of the bath\, wh
ich is given by the difference of free energy between the global passive s
tate and the corresponding equilibrium state.\n\nhttps://zakopane.if.uj.ed
u.pl/event/16/contributions/392/
LOCATION:
URL:https://zakopane.if.uj.edu.pl/event/16/contributions/392/
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