Observation of the ground-state geometric phase in a heisenberg XY model

Physical Review Letters

Volumn 105, Issue 24, 2010, Pages

  Peng, Xinhua ^a   Wu, Sanfeng ^a   Li, Jun ^a   Suter, Dieter ^b   Du, Jiangfeng ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC CIRCUITS; CONTROL PARAMETERS; EXPERIMENTAL STUDIES; FUNDAMENTAL CONCEPTS; GEOMETRIC PHASE; GEOMETRIC PHASIS; HEISENBERG; QUALITATIVE CHANGES; QUANTUM PHASE TRANSITIONS; QUANTUM PHENOMENA; QUANTUM TRANSITIONS; SPIN MODELS; X-Y MODEL;

GEOMETRY; GROUND STATE; HAMILTONIANS; QUANTUM THEORY; TOPOLOGY;

PHASE TRANSITIONS;

EID: 78649994245     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.240405     Document Type: Article

References (35)

1. M.V. Berry, Proc. R. Soc. A PRLAAZ 0080-4630 392, 45 (1984). 10.1098/rspa.1984.0023
2. Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.58.1593
3. T. Bitter and D. Dubbers, Phys. Rev. Lett. 59, 251 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.251
4. D. Suter, K.T. Mueller, and A. Pines, Phys. Rev. Lett. 60, 1218 (1988); PRLTAO 0031-9007 10.1103/PhysRevLett.60.1218
5. J. Du, Phys. Rev. Lett. 91, 100403 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.100403
6. P.J. Leek, Science 318, 1889 (2007). SCIEAS 0036-8075 10.1126/science.1149858
7. J.A. Jones, Nature (London) NATUAS 0028-0836 403, 869 (2000). 10.1038/35002528
8. Geometric Phases in Physics, edited by, A. Shapere, and, F. Wilczek, (World Scientific, Singapore, 1989);
9. Q. Niu, Phys. Rev. Lett. 83, 207 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.207
10. P. Bruno, Phys. Rev. Lett. 93, 247202 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.247202
11. P. Bruno Phys. Rev. Lett. 94, 239903(E) (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.239903
12. G. Schutz, Phys. Rev. E PLEEE8 1063-651X 49, 2461 (1994). 10.1103/PhysRevE.49.2461
13. A.C.M. Carollo and J.K. Pachos, Phys. Rev. Lett. 95, 157203 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.157203
14. S.-L. Zhu, Phys. Rev. Lett. 96, 077206 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.077206
15. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999).
16. P. Zanardi and N. Paunkovic, Phys. Rev. E PLEEE8 1539-3755 74, 031123 (2006); 10.1103/PhysRevE.74.031123
17. J. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 100, 100501 (2008). 10.1103/PhysRevLett.100.100501
18. A. Osterloh, Nature (London) 416, 608 (2002). NATUAS 0028-0836 10.1038/416608a
19. X. Peng, J. Zhang, J. Du, and D. Suter, Phys. Rev. Lett. PRLTAO 0031-9007 103, 140501 (2009); 10.1103/PhysRevLett.103.140501
20. X. Peng, J. Du, and D. Suter, Phys. Rev. A PLRAAN 1050-2947 71, 012307 (2005). 10.1103/PhysRevA.71.012307
21. H.T. Quan, Phys. Rev. Lett. 96, 140604 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.140604
22. L.C. Venuti and P. Zanardi, Phys. Rev. Lett. 99, 095701 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.095701
23. F.M. Cucchietti, arXiv:1006.1468.
24. S. Oh, Phys. Lett. A 373, 644 (2009). PYLAAG 0375-9601 10.1016/j.physleta.2008.12.023
25. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) APNYA6 0003-4916 16, 407 (1961); 10.1016/0003-4916(61)90115-4
26. P. Pfeuty, Ann. Phys. (N.Y.) APNYA6 0003-4916 57, 79 (1970). 10.1016/0003-4916(70)90270-8
27. E. Barouch and B. McCoy, Phys. Rev. A 3, 786 (1971). PLRAAN 1050-2947 10.1103/PhysRevA.3.786
28. X. Peng, Phys. Rev. A 72, 052109 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.052109
29. A. Messiah, Quantum Mechanics (Wiley, New York, 1976).
30. A.M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A 65, 012322 (2001); PLRAAN 1050-2947 10.1103/PhysRevA.65.012322
31. J. Roland and N.J. Cerf, Phys. Rev. A 71, 032330 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.032330
32. A.P. Young, S. Knysh, and V.N. Smelyanskiy, Phys. Rev. Lett. 101, 170503 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.170503
33. F. Verstraete, J.I. Cirac, and J.I. Latorre, Phys. Rev. A 79, 032316 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.032316
34. A. De Pasquale, Eur. Phys. J. Special Topics 160, 127 (2008). 1951-6355 10.1140/epjst/e2008-00716-9
35. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.105.240405 for a detailed description of the experimental procedure and results.