Quantum phase transitions in an interacting atom-molecule boson model

G. Santos, A. Foerster, J. Links3, E. Mattei, S.R. Dahmen

Resumo


Abstract: We study the quantum phase transitions of a model that describes the interconversion of inter-
acting bosonic atoms and molecules. Using a classical analysis, we identify a threshold coupling line
separating a molecular phase and a mixed phase. Through studies of the energy gap, von Neumann
entanglement entropy, and fidelity, we give evidence that this line is associated to a boundary line
in the ground-state phase diagram of the quantum system.

Texto completo:

PDF

Referências


S. Sachdev, Quantum Phase Transitions, Cambridge Uni-versity Press (2001).

L. S. Sondhi et al, Rev. Mod. Phys. 69 (1997) 315.

P. Zoller, Nature 417 (2002) 493; E. A. Donley et al, Nature 417 (2002) 529.

L. Amico, R. Fazio, A. Osterloh, V. Vedral, Rev. Mod.Phys. 80, (2008) 517.

P. Zanardi and N. Paunkovi´c, Phys. Rev. E 74 (2006)031123.

H-Q. Zhou and J. P. Barjaktarevic, J. Phys. A41 (2008)412001.

A. P. Hines, R. H. McKenzie, G. J. Milburn, Phys. Rev.A 71 (2005) 042303.

F. Iachello and N. V. Zamfir, Phys. Rev. Lett. 92 (2004)212501.

J. Links, H.-Q. Zhou, R. H. McKenzie and M. D. Gould, J. Phys. A 36 (2003) R63.

A. Vardi, V. A. Yurovsky, J. R. Anglin, Phys. Rev. A 64 (2001) 063611.

A. P. Hines, R. H. McKenzie, G. J. Milburn, Phys. Rev. A 67 (2003) 013609.

H.-Q. Zhou, J. Links, R. H. McKenzie, Int. J. Mod. Phys. B 17 (2003) 5819.

A. P. Itin, A. A. Vasiliev, G. Krishna and S. Watanabe, Physica D 232 (2007) 108.

C. Dunning, K. Hibberd and J. Links, J. Stat. Mech. (2006) P11005.

S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn and W. Ketterle, Nature 392, (1998) 151.

R. Wynar, R. S. Freeland, D. J. Han, C. Ryu and D. J. Heinzen, Science 287 (2000) 1016.

B. J. Cusack, T. J. Alexander, E. A. Ostrovskaya and Y. S. Kivshar, Phys. Rev. A 65 (2001) 013609.

T. Lahaye, T. Koch, B. Frohlich, M. Fattori, J. Metz, A. Griesmaier, S. Giovanazzi and T. Pfau, Nature 448 (2007) 672.

X.-Q. Xu, L.-H. Lu, and Y.-Q Li, Phys. Rev. A 79 (2009) 043604.

G. Santos, A. P. Tonel, A. Foerster, J. Links, Phys. Rev. A 73 (2006) 023609.

A. P. Itin and S. Watanabe, Phys. Rev. E 76 (2007) 026218.

J. Li, D-F. Ye, C. Ma, L-B. Fu and J. Liu, Phys. Rev. A 79 (2009) 025602.

J. I. Cirac, M. Lewenstein, K. Molmer and P. Zoller, Phys. Rev. A 57 (1998) 1208.

S. Kohler and F. Sols, Phys. Rev. Lett. 89 (2002) 060403,

F. Pan and J. P. Draayer, Phys. Lett. A 339 (2005) 403.

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press (2000).


Apontamentos

  • Não há apontamentos.