Off-diagonal geometric phase for mixed states

Physical Review Letters

Volumn 90, Issue 5, 2003, Pages

  Filipp, Stefan ^a,b   Sjöqvist, Erik ^a  

^a UPPSALA UNIVERSITY   (Sweden)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC DENSITY OF STATES; ELECTRONIC STRUCTURE; INTERFEROMETRY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; POLARIZATION;

DIAGONAL GEOMETRIC PHASE; HILBERT SPACES; MIXED STATES; NODAL STRUCTURE; TWO PHOTON INTERFEROMETRY;

PHOTONS;

EID: 0037422978     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. M. V. Berry, Proc. R. Soc. London A 392 45 (1984).
2. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).
3. S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).
4. J. Samuel and R. Bhandari, Phys. Rev. Lett. 60, 2339 (1988).
5. N. Manini and F. Pistolesi, Phys. Rev. Lett. 85, 3067 (2000).
6. N. Mukunda, Arvind, S. Chaturvedi, and R. Simon. Phys. Rev. A 65, 012102 (2002).
7. Y. Hasegawa, R. Loidl, M. Baron, G. Badurek, and H. Rauch, Phys. Rev. Lett. 87, 070401 (2001)
8. Y. Hasegawa, R. Loidl, G. Badurek, M. Baron, N. Manini, F. Pistolesi, and H. Rauch, Phys. Rev. A 65, 052111 (2002).
9. A. Uhlmann, Rep. Math. Phys. 24, 229 (1986).
10. E. Sjöqvist, A.K. Pati, A. Ekert, J.S. Anandan, M. Ericksson, D. K. L. Oi, and V. Vedral, Phys. Rev. Lett. 85, 2845 (2000).
11. R. Bhandari, Phys. Rev. Lett. 89, 268901 (2002)
12. J.S. Anandan, E. Sjöqvist, A.K. Pati, A. Ekert, M. Ericsson, D. K. L. Oi, and V. Vedral, Phys. Rev. Lett. 89, 268902 (2002).
13. F. Pistolesi and N. Manini, Phys. Rev. Lett. 85, 1585 (2000).
14. H.-M. Lauder et al., Phys. Rev. Lett. 72, 1004 (1994)
15. D. E. Manolopoulos and M. S. Child, Phys. Rev. Lett. 82, 2223 (1999)
16. J. Samuel and A. Dhar, Phys. Rev. Lett. 87, 260401 (2001).
17. D. Bures, Trans. Am. Math. Soc. 135, 199 (1969)
18. A. Uhlmann, Rep. Math. Phys. 9, 273 (1976).
19. The Bures fidelity provides the worst case measure of distinguishability for purifications consistent with the pair of density matrices; |see| R. Jozsa, J. Mod. Opt. 41, 2315 (1994).
20. J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989)
21. B. Hessmo and E. Sjöqvist, Phys. Rev. A 62, 062301 (2000).
22. P.G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P.H. Eberhard, Phys. Rev. A 60, R773 (1999)
23. A. G. White, D. James, P. Eberhard, and P. Kwiat, Phys. Rev. Lett. 83, 3103 (1999).