Renormalization approach to non-Markovian open-quantum-system dynamics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 2, 2013, Pages

  Gualdi, Giulia ^a   Koch, Christiane P ^a  

^a UNIVERSITY OF KASSEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

A-PRIORI ESTIMATES; COMPUTATIONAL COSTS; DYNAMICAL RENORMALIZATION; NON-LOCAL INTERACTIONS; NON-MARKOVIAN; NON-MARKOVIAN DYNAMICS; RENORMALIZATION; SYSTEM-ENVIRONMENT COUPLING;

SYSTEM THEORY;

MARKOV PROCESSES;

EID: 84884839111     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.022122     Document Type: Article

References (45)

1. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
2. J. T. Barreiro, M. Müller, P. Schindler, D. Nigg, T. Monz, M. Chwalla, M. Hennrich, C. F. Roos, P. Zoller, and R. Blatt, Nature (London) NATUAS 0028-0836 10.1038/nature09801 470, 486 (2011).
3. C. Genes, A. Mari, D. Vitali, and P. Tombesi, Adv. At. Mol. Opt. Phys. 9780-1237 10.1016/S1049-250X(09)57002-4 57, 33 (2009).
4. A. Eichler, J. Moser, J. Chaste, M. Zdrojek, I. Wilson-Rae, and A. Bachtold, Nat. Nanotechnol. 1748-3387 10.1038/nnano.2011.71 6, 339 (2011).
5. M. Sarovar, A. Ishizaki, G. R. Fleming, and K. B. Whaley, Nat. Phys. 1745-2473 10.1038/nphys1652 6, 462 (2010).
6. H. Bluhm, S. Foletti, I. Neder, M. Rudner, D. Mahalu, V. Umansky, and A. Yacoby, Nat. Phys. 1745-2473 10.1038/nphys1856 7, 109 (2010).
7. Y. Shalibo, Y. Rofe, D. Shwa, F. Zeides, M. Neeley, J. M. Martinis, and N. Katz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.177001 105, 177001 (2010).
8. G. de Lange, Z. H. Wang, D. Risté, V. V. Dobrovitski, and R. Hanson, Science SCIEAS 0036-8075 10.1126/science.1192739 330, 60 (2010).
9. S. Kolkowitz, Q. P. Unterreithmeier, S. D. Bennett, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.137601 109, 137601 (2012).
10. T. H. Taminiau, J. J. T. Wagenaar, T. van der Sar, F. Jelezko, V. V. Dobrovitski, and R. Hanson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.137602 109, 137602 (2012).
11. H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401 103, 210401 (2009).
12. J. Piilo, S. Maniscalco, K. Härkönen, and K.-A. Suominen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.180402 100, 180402 (2008). (Pubitemid 351654659)
13. H.-P. Breuer and B. Vacchini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.140402 101, 140402 (2008).
14. W. Koch, F. Großmann, J. T. Stockburger, and J. Ankerhold, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.230402 100, 230402 (2008).
15. R. Baer and R. Kosloff, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473950 106, 8862 (1997).
16. C. P. Koch, T. Klüner, and R. Kosloff, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1450124 116, 7983 (2002). (Pubitemid 34555071)
17. C. P. Koch, T. Klüner, H.-J. Freund, and R. Kosloff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.117601 90, 117601 (2003).
18. H. J. Hogben, P. Hore, and I. Kuprov, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3398146 132, 174101 (2010).
19. K. H. Hughes, C. D. Christ, and I. Burghardt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3159671 131, 024109 (2009).
20. E. H. Lieb and D. W. Robinson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01645779 28, 251 (1972).
21. B. Nachtergaele and R. Sims, in New Trends in Mathematical Physics. Selected Contributions of the XVth International Congress on Mathematical Physics, edited by, V. Sidoravicius, (Springer, Berlin, 2009), pp. 591-614.
22. B. Mohar and W. Woess, Bull. London Math. Soc. LMSBBT 0024-6093 10.1112/blms/21.3.209 21, 209 (1989).
23. S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050401 97, 050401 (2006). (Pubitemid 44156696)
24. T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97. 157202 97, 157202 (2006). (Pubitemid 44570419)
25. M. B. Hastings, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 126402 93, 126402 (2004).
26. J. Prior, A. W. Chin, S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.050404 105, 050404 (2010).
27. A. W. Chin, Ángel Rivas, S. F. Huelga, and M. B. Plenio, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3490188 51, 092109 (2010).
28. C. K. Burrell and T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.167201 99, 167201 (2007). (Pubitemid 47587555)
29. M. B. Hastings, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.144302 77, 144302 (2008).
30. J. Eisert, M. Cramer, and M. Plenio, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.277 82, 277 (2010).
31. M. Cramer, A. Serafini, and J. Eisert, in Quantum Information and Many Body Quantum Systems, edited by, M. Ericsson, and, S. Montangero, (Edizioni della Normale, Pisa, 2008), pp. 55-72.
32. B. Nachtergaele, B. Schlein, R. Sims, S. Starr, and V. Zagrebnov, Rev. Math. Phys. RMPHEX 0129-055X 10.1142/S0129055X1000393X 22, 207 (2010).
33. H. F. Trotter, Proc. Am. Math. Soc. PAMYAR 0002-9939 10.1090/S0002-9939- 1959-0108732-6 10, 545 (1959).
34. M. Suzuki, Proc. Jpn. Acad. 0386-2208 10.2183/pjab.69.161 69, 161 (1993).
35. H. De Raedt, Comput. Phys. Rep. CPHREF 0167-7977 10.1016/0167-7977(87) 90002-5 7, 1 (1987).
36. D. Poulin, A. Qarry, R. Somma, and F. Verstraete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.170501 106, 170501 (2011).
37. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
38. S. R. White and A. E. Feiguin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401 93, 076401 (2004).
39. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2004/04/P04005 (2004) P04005.
40. D. Poulin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104. 190401 104, 190401 (2010).
41. M. B. Hastings, in Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010, edited by, J. Frölich, M. Salmhofer, V. Mastropietro, W. De Roeck, and, L. F. Cugliandolo, (Oxford University Press, Oxford, 2012), pp. 171-212.
42. R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.570 12, 570 (1957).
43. J. A. Rodriguez, Appl. Math. Lett. AMLEEL 0893-9659 10.1016/j.aml.2008. 07.020 22, 916 (2009).
44. M. Suzuki, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02101460 163, 491 (1994).
45. C. M. Dawson and M. A. Nielsen, Quantum Inf. Comput. 6, 81 (2006).