@article{CML_2009__1_1_123_0, author = {Rebolledo, Rolando}, title = {Unraveling open quantum systems: classical reductions and classical dilations of quantum markov semigroups}, journal = {Confluentes Mathematici}, pages = {123--167}, publisher = {World Scientific Publishing Co Pte Ltd}, volume = {1}, number = {1}, year = {2009}, doi = {10.1142/S1793744209000055}, language = {en}, url = {http://www.numdam.org/articles/10.1142/S1793744209000055/} }
TY - JOUR AU - Rebolledo, Rolando TI - Unraveling open quantum systems: classical reductions and classical dilations of quantum markov semigroups JO - Confluentes Mathematici PY - 2009 SP - 123 EP - 167 VL - 1 IS - 1 PB - World Scientific Publishing Co Pte Ltd UR - http://www.numdam.org/articles/10.1142/S1793744209000055/ DO - 10.1142/S1793744209000055 LA - en ID - CML_2009__1_1_123_0 ER -
%0 Journal Article %A Rebolledo, Rolando %T Unraveling open quantum systems: classical reductions and classical dilations of quantum markov semigroups %J Confluentes Mathematici %D 2009 %P 123-167 %V 1 %N 1 %I World Scientific Publishing Co Pte Ltd %U http://www.numdam.org/articles/10.1142/S1793744209000055/ %R 10.1142/S1793744209000055 %G en %F CML_2009__1_1_123_0
Rebolledo, Rolando. Unraveling open quantum systems: classical reductions and classical dilations of quantum markov semigroups. Confluentes Mathematici, Tome 1 (2009) no. 1, pp. 123-167. doi : 10.1142/S1793744209000055. http://www.numdam.org/articles/10.1142/S1793744209000055/
[1] L. Accardi, A. Frigerio and Y. G. Lu, Quantum Probability and Applications (Springer, 1989) pp. 20.
[2] L. Accardi, A. Frigerio and Y. G. Lu, Comm. Math. Phys. 131, 537 (1990), DOI: 10.1007/BF02098275 .
[3] L. Accardi, Y. G. Lu and I. Volovich, Quantum Theory and Its Stochastic Limit (Springer-Verlag, 2002) p. 493.
[4] R. Alicki and K. Lendi , Quantum Dynamical Semigroups and Applications , Lect. Notes in Physics 286 ( Springer-Verlag , 1987 ) .
[5] G. Alli and G. L. Sewell, J. Math. Phys. 36, 5598 (1995), DOI: 10.1063/1.531279 .
[6] S Attal and A. Joye, J. Statist. Phys. 126, 1241 (2007), DOI: 10.1007/s10955-006-9085-z .
[7] O. Bratteli and D. W. Robinson , Operator Algebras and Quantum Statistical Mechanics, 2 , 2nd edn. ( Springer-Verlag , 1997 ) .
[8] O. Bratteli and D. W. Robinson , Operator Algebras and Quantum Statistical Mechanics, 1 , 2nd edn. ( Springer-Verlag , 1987 ) .
[9] H. J. Carmichael, J. Opt. Soc. Am. B 4, 1588 (1987), DOI: 10.1364/JOSAB.4.001588 .
[10] A. Chebotarev , Lectures on Quantum Probability , Aportaciones Matem. S.M.M 4 ( 2000 ) .
[11] A. Chebotarev and F. Fagnola, J. Funct. Anal. 153, 382 (1998), DOI: 10.1006/jfan.1997.3189 .
[12] E. Christensen and D. E. Evans, J. Lon. Math. Soc. 20, 358 (1979).
[13] E. B. Davies, Rep. Math. Phys. 11, 169 (1977), DOI: 10.1016/0034-4877(77)90059-3 .
[14] C. Dellacherie and P.-A. Meyer , Probabilités et Potentiel I-III ( Hermann , 1975 ) .
[15] L. M. Duan, Phys. Rev. Lett. 85, 3991 (2000), DOI: 10.1103/PhysRevLett.85.3991 .
[16] R. Rebolledo, F. Fagnola and C. Saavedra, J. Math. Phys. 35, 1 (1994).
[17] F. Fagnola, Proyecciones, J. Math. 18, 1 (1999).
[18] F. Fagnola, R. Rebolledo and C. Saavedra, Stochastic Analysis and Mathematical Physics (World Scientific, 1998) pp. 61-71.
[19] F. Fagnola and M. Skeide, Noncommutative Harmonic Analysis with Applications to Probability, Banach Center Publ 78 (Polish Acad. Sci., 2007) pp. 121-132.
[20] C. Gardiner, Phys. Rev. Lett. 56, 1917 (1986), DOI: 10.1103/PhysRevLett.56.1917 .
[21] G. Lindblad, Comm. Math. Phys. 48, 119 (1976), DOI: 10.1007/BF01608499 .
[22] C. M. Mora and R. Rebolledo, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, 237 (2007), DOI: 10.1142/S0219025707002725 .
[23] C. M. Mora and R. Rebolledo, Ann. Appl. Probab. 18, 591 (2008), DOI: 10.1214/105051607000000311 .
[24] K. R. Parthasarathy , An Introduction to Quantum Stochastic Calculus , Monographs in Mathematics 85 ( Birkhaüser-Verlag , 1992 ) .
[25] G. Pedersen , Analysis Now , Graduate Texts in Mathematics 118 ( Springer-Verlag , 1989 ) .
[26] R. Rebolledo and D. Spehner, Stochastic Analysis in Mathematical Physics (World Scientific, 2008) pp. 94-108.
[27] R. Rebolledo, Ann. Inst. H. Poincaré Probab. Statist. 41, 349 (2005), DOI: 10.1016/j.anihpb.2004.12.003 .
[28] W. F. Stinespring, Proc. Am. Math. Soc. 6, 211 (1955), DOI: 10.2307/2032342 .
[29] A. Kossakowski, V. Gorini and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
Cité par Sources :