@article{AIHPB_2005__41_3_349_0,
author = {Rebolledo, Rolando},
title = {Decoherence of quantum {Markov} semigroups},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {349--373},
year = {2005},
publisher = {Elsevier},
volume = {41},
number = {3},
doi = {10.1016/j.anihpb.2004.12.003},
mrnumber = {2139024},
zbl = {1075.81040},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpb.2004.12.003/}
}
TY - JOUR AU - Rebolledo, Rolando TI - Decoherence of quantum Markov semigroups JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 349 EP - 373 VL - 41 IS - 3 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpb.2004.12.003/ DO - 10.1016/j.anihpb.2004.12.003 LA - en ID - AIHPB_2005__41_3_349_0 ER -
%0 Journal Article %A Rebolledo, Rolando %T Decoherence of quantum Markov semigroups %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 349-373 %V 41 %N 3 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpb.2004.12.003/ %R 10.1016/j.anihpb.2004.12.003 %G en %F AIHPB_2005__41_3_349_0
Rebolledo, Rolando. Decoherence of quantum Markov semigroups. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 3, pp. 349-373. doi: 10.1016/j.anihpb.2004.12.003
[1] , , , Quantum Theory and its Stochastic Limit, Springer-Verlag, 2002. | Zbl | MR
[2] , , Quantum Dynamical Semigroups and Applications, Lecture Notes in Phys., vol. 286, Springer-Verlag, 1987. | Zbl | MR
[3] , Quelques propriétés du mouvement Brownien non-commutatif. Hommage à P.A. Meyer et J. Neveu, Astérisque 236 (1996) 73-102. | Zbl | MR | Numdam
[4] , , Decoherence induced transition from quantum to classical dynamics, Rev. Math. Phys. 15 (2003) 217-243. | Zbl | MR
[5] , , Operator Algebras and Quantum Statistical Mechanics, vol. 1, Springer-Verlag, 1987. | Zbl | MR
[6] , , Operator Algebras and Quantum Statistical Mechanics, vol. 2, Springer-Verlag, 1996. | Zbl
[7] et al., Phys. Rev. Lett. 77 (1996) 4887.
[8] , , Sufficient conditions for conservativity of minimal quantum dynamical semigroups, J. Funct. Anal. 153 (1998) 382-404. | Zbl | MR
[9] , Lectures on Quantum Probability, Aportaciones Matemáticas, Ser. Textos, vol. 14, Soc. Mat. Mexicana, México, 2000. | Zbl | MR
[10] , , Cohomology of operator algebras and quantum dynamical semigroups, J. London Math. Soc. 20 (1979) 358-368. | Zbl | MR
[11] , Quantum dynamical semigroups and the neutron diffusion equation, Rep. Math. Phys. 11 (1977) 169-188. | Zbl | MR
[12] , , Probabilités et potentiel. Chapitres XII-XVI, Hermann, Paris, 1987. | Zbl | MR
[13] , On Decoherence, J. Math. Phys. 44 (2003) 4939-4956. | Zbl | MR
[14] , Quantum Markov semigroups and quantum flows, Proyecciones J. Math. 18 (3) (1999) 1-144. | Zbl | MR
[15] , , The approach to equilibrium of a class of quantum dynamical semigroups, Infinite Dimensional Anal. Quantum Probab. Related Topics 1 (4) (1998) 1-12. | Zbl | MR
[16] , , On the existence of invariant states for quantum dynamical semigroups, J. Math. Phys. 42 (2001) 1296-1308. | Zbl | MR
[17] , , Subharmonic projections for a quantum Markov semigroup, J. Math. Phys. 43 (2002) 1074-1082. | Zbl | MR
[18] , , Transience and recurrence of quantum Markov semigroups, Probab. Theory Related Fields 126 (2003) 289-306. | Zbl | MR
[19] , , Long-time asymptotic properties of dynamical semigroups on -algebras, Math. Z. (1982). | Zbl
[20] et al., Decoherence and the Appearance of a Classical world in Quantum Theory, Springer, Heidelberg, 1996. | Zbl
[21] , , , Completely positive dynamical semigroups of n-level systems, J. Math. Phys. 17 (1976) 821-825. | MR
[22] , Statistical Structure of Quantum Theory, Lecture Notes in Phys., vol. 67, Springer-Verlag, 2001. | Zbl | MR
[23] , Interacting Particle Systems, Springer-Verlag, New York, 1985. | Zbl | MR
[24] , Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, Springer-Verlag, Berlin, 1999. | Zbl | MR
[25] , On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48 (1976) 119-130. | Zbl | MR
[26] , , Detailed balance and quantum dynamical maps, J. Phys. A 31 (1998) 7981-7995. | Zbl | MR
[27] , Quantum Probability for Probabilists, Lecture Notes in Math., vol. 1538, Springer-Verlag, Berlin, 1993. | Zbl | MR
[28] et al., Nature 403 (2000) 269.
[29] , Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, 1983. | Zbl | MR
[30] , An Introduction to Quantum Stochastic Calculus, Monographs in Math., vol. 85, Birkhaüser, Basel, 1992. | Zbl | MR
[31] , Positive functions on -algebras, Proc. Amer. Math. Soc. 6 (1955) 211-216. | Zbl
[32] , Analysis Now, Graduate Texts in Math., vol. 118, Springer-Verlag, 1989. | Zbl | MR
[33] , Decoherence in quantum physics, in: , (Eds.), Coherent Evolution in Noisy Environments, Lecture Notes in Phys., vol. 611, Springer-Verlag, 2002, pp. 199-233. | MR
Cité par Sources :






