Title: 
Non-Markovian Effects, Quantum Jumps and Fluctuation Relations in Driven 
Quantum Systems

Abstract:
Definition and measurement of work done on a driven open quantum system 
remain major challenges in quantum thermodynamics.
The stochastic mapping of an open quantum system to the Lindblad master 
equation and its unraveling by quantum jumps offers a powerful
way to define and calculate thermodynamics of work and the related 
fluctuation relations [1]. However, several approximations must be made
including that of Markovianity of the dynamics. A calorimetric detection 
method has recently been proposed by J. Pekola and collaborators [2] as 
a feasible experimental scheme to measure work and fluctuation 
relations. However, the detection requires a finite size for the 
environment, which influences the system dynamics. This process cannot 
be modeled with the standard Markovian stochastic approaches. We develop 
a quantum jump model suitable for systems coupled to a finite-size 
environment and discuss its application to work measurement and 
fluctuation relations [3]. We also discuss the consequences of 
non-Markovianity in entropy production in strongly coupled systems [4].

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Mottonen, Phys. Rev. E 91, 022126 (2016).
2. J.P. Pekola, P. Solinas, A. Shnirman, and D.V. Averin, New J. of 
Phys. 15, 115006 (2013).
3. S. Suomela, A. Kutvonen, and T. Ala-Nissila, Phys. Rev. 
E 93, 062106 (2016); S. Suomela, R. Sampaio, and T. Ala-Nissila, Phys. Rev. E 94, 032138; J.P. Pekola, S. Suomela and Y.M. Galperin, J. Low Temp.
Phys. (2016).
4. A. Kutvonen, T. Ala-Nissila, and J. Pekola, Phys. Rev. E 92, 012107 
(2015).