Quantum structural phase transition in chains of interacting atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 3, 2011, Pages

  Shimshoni, Efrat ^a   Morigi, Giovanna ^b,c   Fishman, Shmuel ^d  

^a BAR ILAN UNIVERSITY   (Israel)

^b SAARLAND UNIVERSITY   (Germany)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^d TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC SYSTEM; CLASSICAL THEORY; CRITICAL POINTS; CRITICAL VALUE; EXPERIMENTAL OBSERVATION; FIELD THEORY; INTERPARTICLE DISTANCES; ION SYSTEMS; ISING CHAINS; LINEAR CHAIN; LOW TEMPERATURES; PARTICLE DENSITIES; QUANTUM CRITICAL BEHAVIOR; QUANTUM CRITICAL POINTS; QUANTUM FLUCTUATION; QUANTUM PHASE TRANSITIONS; QUASI-ONE-DIMENSIONAL SYSTEMS; STRUCTURAL PHASE TRANSITION; TRANSVERSE FIELD; TRANSVERSE TRAP; TRAP FREQUENCY; ZERO TEMPERATURES; ZIGZAG INSTABILITY; ZIGZAG STRUCTURE;

BIOELECTRIC PHENOMENA; ESTIMATION; PHASE TRANSITIONS; QUANTUM ELECTRONICS;

ATOMS;

EID: 79952653960     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.032308     Document Type: Article

References (45)

1. J. S. Meyer, K. A. Matveev, and A. I. Larkin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.126404 98, 126404 (2007). (Pubitemid 46473499)
2. C. Kollath, J. S. Meyer, and T. Giamarchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.130403 100, 130403 (2008). (Pubitemid 351490852)
3. M. Klawunn and L. Santos, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/5/055012 11, 055012 (2009).
4. N. Lo Gullo, Th. Busch, and M. Paternostro, e-print arXiv: 1011.2125.
5. R. W. Hasse and J. P. Schiffer, Ann. Phys. 203, 441 (1990).
6. D. H. E. Dubin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 2753 71, 2753 (1993).
7. J. P. Schiffer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70. 818 70, 818 (1993).
8. D. H. E. Dubin and T. M. ONeil, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.87 71, 87 (1999).
9. G. Birkl, S. Kassner, and H. Walther, Nature (London) NATUAS 0028-0836 10.1038/357310a0 357, 310 (1992).
10. M. G. Raizen, J. M. Gilligan, J. C. Bergquist, W. M. Itano, and D. J. Wineland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.6493 45, 6493 (1992).
11. G. Piacente, I. V. Schweigert, J. J. Betouras, and F. M. Peeters, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.69.045324 69, 045324 (2004).
12. S. Fishman, G. De Chiara, T. Calarco, and G. Morigi, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.064111 77, 064111 (2008).
13. A. del Campo, G. De Chiara, G. Morigi, M. B. Plenio, and A. Retzker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.075701 105, 075701 (2010);
14. G. De Chiara, A. del Campo, G. Morigi, M. B. Plenio, and A. Retzker, New. J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/11/115003 12, 115003 (2010).
15. G. Piacente, G. Q. Hai, and F. M. Peeters, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.024108 81, 024108 (2010).
16. E. Shimshoni, G. Morigi and S. Fishman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.010401 106, 010401 (2011).
17. G. E. Astrakharchik, G. Morigi, G. De Chiara, and J. Boronat, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.063622 78, 063622 (2008).
18. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
19. K. G. Wilson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.47.773 47, 773 (1975);
20. K. G. Wilson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.55.583 55, 583 (1983).
21. G.-D. Lin, S.-L. Zhu, R. Islam, K. Kim, M.-S. Chang, S. Korenblit, C. Monroe, and L.-M. Duan, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/ 60004 86, 60004 (2009).
22. G. Morigi and S. Fishman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.170602 93, 170602 (2004).
23. L. Hornekaer, N. Kjaergaard, A. M. Thommesen, and M. Drewsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1994 86, 1994 (2001). (Pubitemid 32254744)
24. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2004).
25. T. Lahaye, C. Menotti, L. Santos, M. Lewenstein, and T. Pfau, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/72/12/126401 72, 12640 (2009).
26. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, 1976).
27. G. Morigi and S. Fishman, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/10/S21 39, S221 (2006).
28. A. O. Gogolin, A. A. Nersesyan and A. M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, Cambridge, 1998).
29. J. L. Cardy, in Conformal Invariance and Statistical Mechanics, in Fields, Strings and Critical Phenomena, edited by, E. Brezin, and, J. Zinn-Justin, Proceedings of the Les Houches Summer School, 1988 (North-Holland, Amsterdam, 1990);
30. M. Henkel, Conformal Invariance and Critical Phenomena (Springer, Berlin, 1999).
31. M. Barma and M. E. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.1935 53, 1935 (1984);
32. M. Barma and M. E. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.31.5954 31, 5954 (1985).
33. D.-H. Kim, Y.-C. Lin, and H. Rieger, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.016702 75, 016702 (2007). (Pubitemid 46134163)
34. J. I. Cirac and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4091 74, 4091 (1995).
35. H. Häffner, C. F. Roos, and R. Blatt, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.09.003 469, 155 (2008).
36. L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.103007 97, 103007 (2006). (Pubitemid 44373684)
37. J. Eschner, G. Morigi, F. Schmidt-Kaler, and R. Blatt, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.20.001003 20, 1003 (2003).
38. C. Wunderlich, G. Morigi, and D. Reiss, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023421 72, 023421 (2005). (Pubitemid 41493241)
39. S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, New York, 1976).
40. G. E. Astrakharchik, G. De Chiara, G. Morigi, and J. Boronat, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/42/15/154026 42, 154026 (2009).
41. P. Cañizares, T. Görler, J. P. Paz, G. Morigi, and W. P. Schleich, Laser Phys. LAPHEJ 1054-660X 10.1134/S1054660X0707002X 17, 903 (2007). (Pubitemid 47115233)
42. G. De Chiara, T. Calarco, S. Fishman, and G. Morigi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.043414 78, 043414 (2008).
43. A. Retzker, R. C. Thompson, D. M. Segal, and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.260504 101, 260504 (2008).
44. A. Friedenauer, H. Schmitz, J. T. Glueckert, D. Porras, and T. Schaetz, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1032 4, 757 (2008).
45. 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).