Asymptotics of repeated interaction quantum systems

Journal of Functional Analysis

Volumn 239, Issue 1, 2006, Pages 310-344

  Bruneau, Laurent ^a   Joye, Alain ^b,c   Merkli, Marco ^d  

^a Univ du Sud   (France)

^b INSTITUT FOURIER   (France)

^c UNIVERSITÉ JOSEPH FOURIER   (France)

^d MCGILL UNIVERSITY   (Canada)

Author keywords

2nd law of thermodynamics; Entropy production; Non equilibrium quantum theory; One Atom Maser; Quantum ergodic theory; Thermal quantum field; Thermal reservoir; Time dependent interaction; W* dynamical systems

Indexed keywords

EID: 33746774629     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2006.02.006     Document Type: Article

References (13)

1. Araki H., and Wyss W. Representations of canonical anticommutation relations. Helv. Phys. Acta 37 (1964) 136-159
2. S. Attal, A. Joye, Weak coupling and continuous limits for repeated quantum interactions, Statist. Phys., in press
3. S. Attal, Y. Pautrat, From repeated to continuous quantum interactions, Ann. Henri Poincaré, in press
4. Bratteli O., and Robinson D.W. Operator Algebras and Quantum Statistical Mechanics I, II. Texts Monogr. Phys. (1987), Springer, Berlin
5. Jakšić V., and Pillet C.-A. Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs. Comm. Math. Phys. 226 1 (2002) 131-162
6. Jakšić V., and Pillet C.-A. A note on the entropy production formula. Advances in Differential Equations and Mathematical Physics. Birmingham, AL, 2002. Contemp. Math. vol. 327 (2003), Amer. Math. Soc., Providence, RI 175-180
7. Kato K. Perturbation Theory for Linear Operators. second ed. (1976), Springer, Berlin
8. M. Merkli, M. Mück, I.M. Sigal, Instability of equilibrium states for coupled heat reservoirs at different temperatures, submitted for publication
9. D. Meschede, H. Walther, G. Müller, One-atom maser, Phys. Rev. Lett. 54 (6) 551-554
10. C.-A. Pillet, Quantum Dynamical Systems, Lecture Notes in Math., vol. 1880, Springer, 2006, in press
11. Vogel K., Akulin V.M., and Schleich W.P. Quantum state engineering of the radiation field. Phys. Rev. Lett. 71 12 (1993) 1816-1819
12. Weidinger M., Varcoe B.T.H., Heerlein R., and Walther H. Trapping states in micromaser. Phys. Rev. Lett. 82 19 (1999) 3795-3798
13. Wellens T., Buchleitner A., Kümmerer B., and Maassen H. Quantum state preparation via asymptotic completeness. Phys. Rev. Lett. 85 16 (2000) 3361-3364