Proposed method for direct measurement of the non-Markovian character of the qubits coupled to bosonic reservoirs

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Xu, Z Y ^a,b   Yang, W L ^a   Feng, M ^a  

^a Wuhan National Laboratory for Optoelectronics   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONIC RESERVOIRS; DIRECT MEASUREMENT; LOWER BOUNDS; NON-MARKOVIAN; NON-MARKOVIAN BEHAVIOR; OPEN QUANTUM SYSTEMS; OPTIMIZATION PROCEDURES; QUANTUM STATE TOMOGRAPHY; SINGLE QUBITS; ZERO TEMPERATURES;

QUANTUM ELECTRONICS; TOMOGRAPHY;

QUANTUM OPTICS;

EID: 77951143557     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.044105     Document Type: Article

References (35)

1. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
2. C. W. Gardiner and P. Zoller, Quantum Noise (Springer-Verlag, Berlin, 2004);
3. U. Weiss, Quantum Dissipative Systems (World Scientific Publishing, Singapore, 2008).
4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
5. P. Hamm, M. Lim, and R. M. Hochstrasser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5326 81, 5326 (1998);
6. V. O. Lorenz and S. T. Cundiff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.163601 95, 163601 (2005).
7. F. Dublin, D. Rotter, M. Mukherjee, C. Russo, J. Eschner, and R. Blatt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.183003 98, 183003 (2007).
8. C. W. Lai, P. Maletinsky, A. Badolato, and A. Imamoglu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.167403 96, 167403 (2006);
9. D. Mogilevtsev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 100.017401 100, 017401 (2008);
10. C. Galland, A. Hogele, H. E. Tureci, and A. Imamoglu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.067402 101, 067402 (2008).
11. W. T. Strunz, L. Diosi, and N. Gisin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1801 82, 1801 (1999);
12. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.012106 63, 012106 (2000);
13. H.-P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012106 70, 012106 (2004);
14. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053815 74, 053815 (2006);
15. A. Bassi and L. Ferialdi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.050403 103, 050403 (2009).
16. B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.2290 55, 2290 (1997);
17. L. Mazzola, S. Maniscalco, J. Piilo, K. A. Suominen, and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.012104 80, 012104 (2009).
18. J. Piilo, S. Maniscalco, K. Harkonen, and K. A. Suominen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.180402 100, 180402 (2008);
19. J. Piilo, S. Maniscalco, K. Harkonen, and K. A. Suominen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.062112 79, 062112 (2009);
20. H.-P. Breuer and J. Piilo, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/85/50004 85, 50004 (2009).
21. H.-P. Breuer and B. Vacchini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.140402 101, 140402 (2008);
22. H.-P. Breuer and B. Vacchini, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.041147 79, 041147 (2009).
23. M. M. Wolf, J. Eisert, T. S. Cubitt, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.150402 101, 150402 (2008).
24. H.-P. Breuer, E. M. Laine, and J. Piilo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401 103, 210401 (2009).
25. Á. Rivas, e-print arXiv: 0911.4270.
26. X.-M. Lu, e-print arXiv: 0912.0587.
27. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, New York, 1997);
28. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 2008).
29. A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.59.1 59, 1 (1987).
30. However, if |b(τnmin)|≠ 0, we may only acquire a lower bound of the non-Markovianity and Eqs. (11) and (12) will therefore be modified to NS=n(|b(τnmax)|-|b(τnmin)|) and NS=n(√P|e (τnmax)-√P|e (τnmin)), respectively.
31. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
32. B. Bellomo, R. LoFranco, and G. Compagno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.160502 99, 160502 (2007).
33. K. J. Vahala, Nature (London) NATUAS 0028-0836 10.1038/nature01939 424, 839 (2003).
34. I. Buluta and F. Nori, Science SCIEAS 0036-8075 10.1126/science.1177838 326, 108 (2009).
35. D. Porras, F. Marquardt, J. vonDelft, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.010101 78, 010101 (R) (2008).