D. Andrieux, P. Gaspard, T. Monnai, and S. Tasaki, The fluctuation theorem for currents in open quantum systems, New Journal of Physics, vol.11, issue.4, p.43014, 2009.
DOI : 10.1088/1367-2630/11/4/043014

A. Arai, On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I, Journal of Mathematical Physics, vol.22, issue.11, pp.2539-2548, 1981.
DOI : 10.1143/PTP.30.103

H. Araki and E. J. Woods, Representations of the Canonical Commutation Relations Describing a Nonrelativistic Infinite Free Bose Gas, Journal of Mathematical Physics, vol.33, issue.5, pp.637-662, 1963.
DOI : 10.1016/0031-8914(49)90059-2

H. Araki and W. Wyss, Representations of canonical anticommutation relations, Helvetica Physica Acta, vol.37, issue.2, p.136, 1964.

T. Benoist, M. Fraas, V. Jak?i´jak?i´c, and C. Pillet, Full statistics of erasure processes: Isothermal adiabatic theory and a statistical landauer principle, Revue Roumaine Math Pures Appl, issue.62, pp.259-286, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01265015

T. Benoist, V. Jak?i´jak?i´c, A. Panati, Y. Pautrat, and C. Pillet, Full statistics of energy conservation in two-time measurement protocols, Physical Review E, vol.58, issue.3, p.32115, 2015.
DOI : 10.1142/S0129055X09003694

[. Benoist, V. Jak?i´jak?i´c, and C. Pillet, Energy Statistics in Open Harmonic Networks, Journal of Statistical Physics, vol.54, issue.5, pp.1016-1030, 2017.
DOI : 10.1007/BF01614132

URL : https://hal.archives-ouvertes.fr/hal-01521590

. Bpp-]-tristan, A. Benoist, Y. Panati, and . Pautrat, Heat conservation and fluctuation relations for open quantum systems

M. Campisi, R. Blattmann, S. Kohler, D. Zueco, and P. Hänggi, Employing circuit QED to measure non-equilibrium work fluctuations, New Journal of Physics, vol.15, issue.10, 2013.
DOI : 10.1088/1367-2630/15/10/105028

URL : http://iopscience.iop.org/article/10.1088/1367-2630/15/10/105028/pdf

M. Campisi, P. Hänggi, and P. Talkner, : Quantum fluctuation relations: Foundations and applications, Reviews of Modern Physics, vol.9, issue.3, p.771, 2011.
DOI : 10.1063/1.3132747

URL : http://arxiv.org/pdf/1012.2268.pdf

R. Paul, J. E. Chernoff, and . Marsden, Some basic properties of infinite dimensional Hamiltonian systems, Colloques internationaux CNRS, Géométrie symplectique et physique mathématique, pp.313-330, 1976.

[. Davies, The harmonic oscillator in a heat bath, Communications in Mathematical Physics, vol.60, issue.3, pp.171-186, 1973.
DOI : 10.4153/CJM-1961-001-7

R. Dorner, S. Clark, L. Heaney, R. Fazio, J. Goold et al., Extracting Quantum Work Statistics and Fluctuation Theorems by Single-Qubit Interferometry, Physical Review Letters, vol.110, issue.23, 2013.
DOI : 10.1038/nphoton.2011.35

URL : https://cora.ucc.ie/bitstream/10468/4617/1/3634.pdf

J. Derezi´nskiderezi´nski, Van Hove Hamiltonians ??? Exactly Solvable Models of the Infrared and Ultraviolet Problem, Annales Henri Poincar??, vol.4, issue.4, pp.713-738, 2003.
DOI : 10.1007/s00023-003-0145-5

J. Derezi´nskiderezi´nski and C. Gérard, Mathematics of quantization and quantum fields, Cambridge Monographs on Mathematical Physics, 2013.

J. Derezi´nskiderezi´nski, V. Jak?i´jak?i´c, and C. Pillet, Perturbation Theory of W*-Dynamics, Liouvilleans and KMS-States, Reviews in Mathematical Physics, vol.1136, issue.05, pp.447-489, 2003.
DOI : 10.1007/BF01229453

M. Esposito and U. Harbola, Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems, Reviews of Modern Physics, vol.27, issue.4, 1665.
DOI : 10.1103/PhysRevLett.90.238305

URL : http://orbilu.uni.lu/bitstream/10993/12322/1/09EspositoRMP.pdf

V. Jak?i´jak?i´c, E. Kritchevski, and C. Pillet, Mathematical theory of the Wigner? Weisskopf atom, Large coulomb systems, pp.145-215, 2006.

V. Jak?i´jak?i´c, Y. Ogata, Y. Pautrat, and C. Pillet, Entropic fluctuations in quantum statistical mechanics an introduction, Quantum Theory from Small to Large Scales, Lecture Notes of the Les Houches Summer School, pp.213-410, 2011.

V. Jak?i´jak?i´c and C. Pillet, Ergodic properties of classical dissipative systems I, Acta mathematica, pp.181-245, 1998.

V. Jak?i´jak?i´c, J. Panangaden, A. Panati, and C. Pillet, Energy Conservation, Counting Statistics, and Return to Equilibrium, Letters in Mathematical Physics, vol.31, issue.7, pp.917-938, 2015.
DOI : 10.1007/978-3-662-05008-8

V. Jak?i´jak?i´c, C. Pillet, and L. , Entropic fluctuations in statistical mechanics: I. Classical dynamical systems, Nonlinearity, vol.24, issue.3, p.699, 2011.
DOI : 10.1088/0951-7715/24/3/003

[. Jak?i´jak?i´c, C. Pillet, and A. Shirikyan, Entropic Fluctuations in Gaussian Dynamical Systems, Reports on Mathematical Physics, vol.77, issue.3, pp.335-376, 2016.
DOI : 10.1016/S0034-4877(16)30034-9

J. Kurchan, A quantum fluctuation theorem, arXiv preprint cond-mat, p.7360, 2000.

L. Mazzola, G. D. Chiara, and M. Paternostro, Measuring the Characteristic Function of the Work Distribution, Physical Review Letters, vol.110, issue.23, p.230602, 2013.
DOI : 10.1103/PhysRevB.70.205304

C. Pillet, Quantum Dynamical Systems, Lecture Notes in Mathematics, vol.1880, pp.107-182, 2006.
DOI : 10.1007/3-540-33922-1_4

URL : https://hal.archives-ouvertes.fr/hal-00128867

[. Raquépas, Heat full statistics and regularity of perturbations in quantum statistical mechanics , Master's thesis

A. J. Roncaglia, F. Cerisola, and J. P. Paz, Work Measurement as a Generalized Quantum Measurement, Physical Review Letters, vol.113, issue.25, 2014.
DOI : 10.1038/nature09770

URL : http://arxiv.org/pdf/1409.3812

H. Spohn and J. L. Lebowitz, Stationary non-equilibrium states of infinite harmonic systems, Communications in Mathematical Physics, vol.81, issue.2, pp.97-120, 1977.
DOI : 10.1007/BF01614132

H. Spohn, Dynamics of charged particles and their radiation field, 2004.
DOI : 10.1017/CBO9780511535178

H. Tasaki, Jarzynski relations for quantum systems and some applications, arXiv preprint cond- mat, p.9244, 2000.

W. Thirring, A course in mathematical physics 1 and 2: Classical dynamical systems and classical field theory, 2012.