Noise-driven dynamics and phase transitions in fermionic systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 1, 2013, Pages

  Horstmann, Birger ^a,b   Cirac, J Ignacio ^a   Giedke, Géza ^a,c  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

^c TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANNIHILATION OPERATORS; DYNAMICAL TRANSITION; FERMIONIC SYSTEMS; MASTER EQUATIONS; NOISE-DRIVEN SYSTEMS; STEADY STATE;

MATHEMATICAL MODELS; PHYSICS;

DYNAMICS;

EID: 84872353558     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.012108     Document Type: Article

References (48)

1. K. Southwell, V. Vedral, R. Blatt, D. Wineland, I. Bloch, H. J. Kimble, J. Clarke, F. K. Wilhelm, R. Hanson, and D. D. Awschalom, Nature (London) NATUAS 0028-0836 10.1038/4531003a 453, 1003 (2008). (Pubitemid 351871698)
2. P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R2493 52, 2493 (1995).
3. F. Verstraete, M. M. Wolf, and J. Ignacio Cirac, Nat. Phys. NPAHAX 1745-2473 10.1038/nphys1342 5, 633 (2009).
4. B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.042307 78, 042307 (2008).
5. S. Diehl, A. Micheli, A. Kantian, B. Kraus, H. P. Buchler, and P. Zoller, Nat. Phys. NPAHAX 1745-2473 10.1038/nphys1073 4, 878 (2008).
6. S. Diehl, W. Yi, A. J. Daley, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.227001 105, 227001 (2010).
7. M. Roncaglia, M. Rizzi, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.096803 104, 096803 (2010).
8. W. Yi, S. Diehl, A. J. Daley, and P. Zoller, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/5/055002 14, 055002 (2012).
9. C. A. Muschik, E. S. Polzik, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.052312 83, 052312 (2011).
10. H. Krauter, C. A. Muschik, K. Jensen, W. Wasilewski, J. M. Petersen, J. I. Cirac, and E. S. Polzik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.080503 107, 080503 (2011).
11. F. Pastawski, L. Clemente, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.012304 83, 012304 (2011).
12. N. Syassen, D. M. Bauer, M. Lettner, T. Volz, D. Dietze, J. J. García-Ripoll, J. I. Cirac, G. Rempe, and S. Dürr, Science SCIEAS 0036-8075 10.1126/science.1155309 320, 1329 (2008). (Pubitemid 351929467)
13. S. Dürr, J. J. García-Ripoll, N. Syassen, D. M. Bauer, M. Lettner, J. I. Cirac, and G. Rempe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.023614 79, 023614 (2009).
14. J.-J. García-Ripoll, S. Dürr, N. Syassen, D. M. Bauer, M. Lettner, G. Rempe, and J. I. Cirac, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/1/013053 11, 013053 (2009).
15. A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.040402 102, 040402 (2009).
16. M. Kiffner and M. J. Hartmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.021806 81, 021806 (R) (2010);
17. M. Kiffner and M. J. Hartmann, New J. Phys. 1367-2630 10.1088/1367-2630/13/5/053027 13, 053027 (2011).
18. S. Diehl, A. Tomadin, A. Micheli, R. Fazio, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.015702 105, 015702 (2010).
19. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999).
20. J. Eisert and T. Prosen, arXiv: 1012.5013.
21. E. M. Kessler, G. Giedke, A. Imamoǧlu, S. F. Yelin, M. D. Lukin, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.012116 86, 012116 (2012).
22. T. Prosen, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/4/043026 10, 043026 (2008).
23. T. Prosen, J. Stat. Mech. JSMTC6 1742-5468 10.1088/1742-5468/2010/07/ P07020 (2010) P07020.
24. T. Prosen and B. Žunkovič, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/025016 12, 025016 (2010).
25. S. R. Clark, J. Prior, M. J. Hartmann, D. Jaksch, and M. B. Plenio, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/025005 12, 025005 (2010).
26. M. Höning, M. Moos, and M. Fleischhauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.013606 86, 013606 (2012).
27. B. Horstmann, Ph.D. thesis, TU München, 2011.
28. M. Žnidarič, J. Stat. Mech. JSMTC6 1742-5468 10.1088/1742-5468/2010/05/L05002 (2010) L05002.
29. M. Žnidarič, Phys. Rev. E PRESCM 1539-3755 10.1103/PhysRevE.83.011108 83, 011108 (2011).
30. V. Eisler, J. Stat. Mech. JSMTC6 1742-5468 10.1088/1742-5468/2011/06/ P06007 (2011) P06007.
31. X. Zhao, W. Shi, L.-A. Wu, and T. Yu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.032116 86, 032116 (2012).
32. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
33. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
34. M. A. Nielsen, Michael Nielsen's blog (2005).
35. G. Wick, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.80.268 80, 268 (1950).
36. C. V. Kraus, M. M. Wolf, J. I. Cirac, and G. Giedke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.012306 79, 012306 (2009).
37. n 2 σ x], which vanishes as g → 0.
38. | 2 and all four combinations of the subscripts ± may occur. At the critical point, the discriminant vanishes, and each eigenvalue becomes (at least) fourfold degenerate.
39. S. Braungardt, A. Sen(De), U. Sen, R. J. Glauber, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.063613 78, 063613 (2008).
40. D. Porras and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.207901 92, 207901 (2004).
41. A. Friedenauer, H. Schmitz, J. Glückert, D. Porras, and T. Schätz, Nat. Phys. NPAHAX 1745-2473 10.1038/nphys1032 4, 757 (2008).
42. H. Schmitz, A. Friedenauer, C. Schneider, R. Matjeschk, M. Enderlein, T. Huber, J. Glückert, D. Porras, and T. Schätz, Appl. Phys. B APBOEM 0946-2171 10.1007/s00340-009-3455-6 95, 195 (2009).
43. K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, Nature (London) NATUAS 0028-0836 10.1038/nature09071 465, 590 (2010).
44. J. W. Britton, B. C. Sawyer, A. C. Keith, C.-C. J. Wang, J. K. Freericks, H. Uys, M. J. Biercuk, and J. J. Bollinger, Nature (London) NATUAS 0028-0836 10.1038/nature10981 484, 489 (2012).
45. B. P. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J. T. Barreiro, M. Rambach, G. Kirchmair, M. Hennrich, P. Zoller, R. Blatt, and C. F. Roos, Science SCIEAS 0036-8075 10.1126/science.1208001 334, 57 (2011).
46. J. T. Barreiro, M. Muller, 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).
47. F. Marquardt and A. Püttmann, arXiv: 0809.4403.
48. D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, J. Res. Natl. Inst. Stand. Technol. JRITEF 1044-677X 10.6028/jres.103.019 103, 259 (1998).