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\chapter{Introduction}%
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\label{chap:intro}
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Traditionally~\cite{Weiss2012,Rivas2012,Breuer2002Jun}, open quantum
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systems have stood for a departure form unitary dynamics. Usually a
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\emph{small} system with considerably less degrees than the bath it is
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coupled to is considered. The main focus however lies on the small
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system, whose time development is computed, ideally eliminating the
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bath degrees of freedom through various means. As a result, the system
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state does not follow the usual unitary time development generated by
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the Schr\"odinger equation.
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Traditionally, open quantum systems have stood for a departure from
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unitary dynamics~\cite{Weiss2012,Rivas2012,Breuer2002Jun}. Usually a
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small system is coupled to a large bath with considerably more degrees
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of freedom. The main focus, however, lies on the small system, whose
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time development is computed, ideally eliminating the bath degrees of
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freedom through various means. % As a result, the system state does not
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% follow the usual unitary time development generated by the
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% Schr\"odinger equation.
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The field of quantum thermodynamics has attracted much recent interest
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recently~\cite{Talkner2020Oct,Rivas2019Oct,Riechers2021Apr,Vinjanampathy2016Oct,Binder2018,Kurizki2021Dec,Mukherjee2020Jan,Xu2022Mar}.
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@ -16,8 +16,8 @@ extending the standard phenomenological thermodynamic notions to
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microscopic open systems. This setting may make it possible to
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formulate rigorous microscopic definitions of thermodynamic quantities
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such as internal energy, heat and work that are consistent with the
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well-known laws of thermodynamics. There is no consensus on this
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matter yet, as is demonstrated by the plethora of proposals and
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well-known laws of thermodynamics. Currently, there is no consensus on
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this matter yet, as is demonstrated by the plethora of proposals and
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discussions in
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\cite{Rivas2019Oct,Talkner2020Oct,Motz2018Nov,Wiedmann2020Mar,Senior2020Feb,Kato2015Aug,Kato2016Dec,Strasberg2021Aug,Talkner2016Aug,Bera2021Feb,Bera2021Jun,Esposito2015Dec}.
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