Geometric phase distributions for open quantum systems

Physical Review Letters

Volumn 93, Issue 26 I, 2004, Pages

  Marzlin, K P ^a   Ghose, S ^a   Sanders, B C ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRIC PHASE (GP) DISTRIBUTIONS; PHASE-SENSITIVE METHODS; QUANTUM STATES; QUANTUM SYSTEMS;

DENSITY (SPECIFIC GRAVITY); ELECTRON ENERGY LEVELS; ENERGY TRANSFER; HAMILTONIANS; HEAT RADIATION; INTEGRAL EQUATIONS; INTERFEROMETRY; MATRIX ALGEBRA; NUMBER THEORY; PHASE SHIFT; PHOTONS; PROBABILITY; SET THEORY; SPONTANEOUS EMISSION; THERMAL EFFECTS; VACUUM APPLICATIONS;

QUANTUM THEORY;

EID: 37649028573     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.260402     Document Type: Article

References (34)

1. S. Pancharatnam, Proc. Indian Acad Sci., Sect. A 44, 247 (1956); M. V. Berry, Proc. R. Soc. London A 392, 45 (1984).
2. S. Pancharatnam, Proc. Indian Acad Sci., Sect. A 44, 247 (1956); M. V. Berry, Proc. R. Soc. London A 392, 45 (1984).
3. J. Anandan, Phys. Lett. A 133, 171 (1988).
4. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).
5. J. Samuel and R. Bhandari, Phys. Rev. Lett. 60, 2339 (1988).
6. A. Uhlmann, Rep. Math. Phys. 24, 229 (1986); A. K. Pati, J. Phys. A 28, 2087 (1995); A. K. Pati, Phys. Rev. A 52, 2576 (1995).
7. A. Uhlmann, Rep. Math. Phys. 24, 229 (1986); A. K. Pati, J. Phys. A 28, 2087 (1995); A. K. Pati, Phys. Rev. A 52, 2576 (1995).
8. A. Uhlmann, Rep. Math. Phys. 24, 229 (1986); A. K. Pati, J. Phys. A 28, 2087 (1995); A. K. Pati, Phys. Rev. A 52, 2576 (1995).
9. E. Farhi et al., quant-ph/0001106; A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A 65, 012322 (2002); J. Pachos, P. Zanardi, and M. Rasetti, Phys. Rev. A 61, 10305 (1999).
10. E. Farhi et al., quant-ph/0001106; A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A 65, 012322 (2002); J. Pachos, P. Zanardi, and M. Rasetti, Phys. Rev. A 61, 10305 (1999).
11. E. Farhi et al., quant-ph/0001106; A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A 65, 012322 (2002); J. Pachos, P. Zanardi, and M. Rasetti, Phys. Rev. A 61, 10305 (1999).
12. D. Gamliel and J. H. Freed, Phys. Rev. A 39, 3238 (1989).
13. D. Ellinas, S. M. Barnett, and M. A. Dupertuis, Phys. Rev. A 39, 3228 (1989).
14. E. Sjöqvist et al., Phys. Rev. Lett. 85, 2845 (2000).
15. K. M. Fonseca Romero, A. C. Aguiar Pinto, and M. T. Thomaz, Physica (Amsterdam) 307A, 142 (2002).
16. J. G. Peixoto de Faria, A. F. R. Toledo Piza, and M. C. Nemes, Europhys. Lett. 62, 782 (2003).
17. K. Singh et al., Phys. Rev. A 67, 32106 (2003).
18. L.-B. Fu and J.-L. Chen, J. Phys. A 37, 3699 (2004); E. Sjöqvist, ibid. 37, 7393 (2004); L.-B. Fu and J.-L. Chen, ibid. 37, 7395 (2004).
19. L.-B. Fu and J.-L. Chen, J. Phys. A 37, 3699 (2004); E. Sjöqvist, ibid. 37, 7393 (2004); L.-B. Fu and J.-L. Chen, ibid. 37, 7395 (2004).
20. L.-B. Fu and J.-L. Chen, J. Phys. A 37, 3699 (2004); E. Sjöqvist, ibid. 37, 7393 (2004); L.-B. Fu and J.-L. Chen, ibid. 37, 7395 (2004).
21. R. S. Whitney et al., cond-mat/0401376.
22. A. Carollo et al., Phys. Rev. Lett. 90, 160402 (2003).
23. I. Fuentes-Guridi, F. Girelli, and E. Livine, quant-ph/0311164.
24. D. Kult and E. Sjöqvist, Int. J. Quantum. Inf. 2, 247 (2004).
25. C. L. Webb et al., Phys. Rev. A 60, 1783(R) (1999).
26. B. C. Sanders et al., Phys. Rev. Lett. 86, 369 (2001).
27. M. Ericsson et al., Phys. Rev. A 67, 020101(R) (2003).
28. A. K. Pati, Int. J. Quantum. Inform. 1, 135 (2003).
29. n〉z are straightforward but not necessary for this analysis.
30. A. S. Holevo, in Quantum Probability and Applications to the Quantum Theory of Irreversible Processes, edited by L. Accardi, A. Frigerio, and V. Gorini, Lecture Notes in Math. Vol. 1055 (Springer-Verlag, Berlin, 1984), p. 153.
31. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
32. D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1995).
33. The Lamb shift contributes to the GP for t ≠ 2π/ω only.
34. SR|r〉 introduced earlier.