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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 22 — Oct. 26, 2009
  • pp: 19682–19690

Interaction-induced Lipkin-Meshkov-Glick model in a Bose-Einstein condensate inside an optical cavity

Gang Chen, J. -Q. Liang, and Suotang Jia  »View Author Affiliations


Optics Express, Vol. 17, Issue 22, pp. 19682-19690 (2009)
http://dx.doi.org/10.1364/OE.17.019682


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Abstract

In this paper we present an experimentally feasible scheme to simulate a generalized Lipkin-Meskov-Glick model in a Bose-Einstein condensate coupled dispersively with an ultrahigh-finesse optical cavity. This obtained Hamiltonian has a unique advantage in that all parameters can be controlled independently by using Feshbach resonance technique, a pump laser along cavity axis and an external driving laser. By the proper choice of parameters, the macroscopic quantum coherent effect with a large amplitude can be successfully achieved. Comparing with the exist schemes, our proposal has a cleaner, perhaps significantly improved to observe this whole coherent effect. Finally, we predict a novel interaction-induced topological transition, which is an abrupt variation from π to zero of the Berry phase.

© 2009 Optical Society of America

OCIS Codes
(270.5580) Quantum optics : Quantum electrodynamics
(020.1475) Atomic and molecular physics : Bose-Einstein condensates

ToC Category:
Quantum Optics

History
Original Manuscript: August 27, 2009
Manuscript Accepted: September 26, 2009
Published: October 15, 2009

Citation
Gang Chen, J. -Q. Liang, and Suotang Jia, "Interaction-induced Lipkin-Meshkov-Glick model in a Bose-Einstein condensate inside an optical cavity," Opt. Express 17, 19682-19690 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-22-19682


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References

  1. A. Kitaev,"Anyons in an exactly solved model and beyond" Ann. Phys. 321, 2-111 (2006). [CrossRef]
  2. L. M. Duan, E. Demler, and M. D. Lukin, "Controlling spin exchange interactions of ultracold atoms in optical lattices," Phys. Rev. Lett. 91, 090402 (2003). [CrossRef] [PubMed]
  3. J. J. Garcia-Ripoll, M. A. Martin-Delgando, and J. I. Cirac, "Implementation of spin Hamiltonians in optical lattices," Phys. Rev. Lett. 93, 250405 (2004). [CrossRef]
  4. M. Lewenstein, A. Sanpera, V , Ahufinger, B . Damski, A . Sen, and U . Sen, "Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond," Adv. Phys. 56, 243-379 (2007). [CrossRef]
  5. H. J. Lipkin, N. Meshkov, and A. J. Glick, "Validity of many-body approximation methods for a solvable model: (I). Exact solutions and perturbation theory," Nucl. Phys. A 62, 188-198 (1965). [CrossRef]
  6. R. Botet, R. Jullien, and P. Pfeuty, "Size scaling for infinitely coordinated systems," Phys. Rev. Lett. 49, 478-481 (1982). [CrossRef]
  7. R. Botet and R. Jullien, "Large-size critical behavior of infinitely coordinated systems," Phys. Rev. B 28, 3955-3967 (1983). [CrossRef]
  8. S. Dusuel and J. Vidal, "Finite-size scaling exponents of the Lipkin-Meshkov-Glick model," Phys. Rev. Lett. 93, 237204 (2004). [CrossRef] [PubMed]
  9. S. Dusuel and J. Vidal, "Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model," Phys. Rev. B 71, 224420 (2005). [CrossRef]
  10. P. Ribeiro, J. Vidal, and R. Mosseri, "Thermodynamical Limit of the Lipkin-Meshkov-Glick Model," Phys. Rev. Lett. 99, 050402 (2007). [CrossRef] [PubMed]
  11. P. Ribeiro, J. Vidal, and R. Mosseri, "Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections," Phys. Rev. E 78, 021106 (2008). [CrossRef]
  12. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, "Entanglement in many-body systems," Rev. Mod. Phys. 80, 517-576 (2008). [CrossRef]
  13. R. Orus, S. Dusuel, and J. Vidal, "Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model," Phys. Rev. Lett. 101, 025701 (2008). [CrossRef] [PubMed]
  14. F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. K¨ohl, and T Esslinger, "Cavity QED with a Bose-Einstein condensate," Nature 450, 268-271 (2007). [CrossRef] [PubMed]
  15. F. Brennecke, S. Ritter, T. Donner, and T. Esslinger, "Cavity optomechanics with a Bose-Einstein condensate," Science 322, 235-238 (2008). [CrossRef] [PubMed]
  16. C. Maschler and H. Ritsch, "Cold atom dynamics in a quantum optical lattice potential," Phys. Rev. Lett. 95, 260401 (2005). [CrossRef]
  17. J. Larson, B. Damski, G. Morigi, and M. Lewenstein, "Mott-Insulator states of ultracold atoms in optical resonators," Phys. Rev. Lett. 100, 050401 (2008). [CrossRef] [PubMed]
  18. J. Larson and M. Lewenstein, "Dilute gas of ultracold two-level atoms inside a cavity: generalized Dicke model," New J. Phys. 11, 063027 (2009). [CrossRef]
  19. J. M. Zhang, W. M. Liu, and D. L. Zhou, "Mean-field dynamics of a Bose Josephson junction in an optical cavity," Phys. Rev. A 78, 043618 (2008). [CrossRef]
  20. J. M. Zhang, F. C. Cui, D. L. Zhou, and W. M. Liu, "Nonlinear dynamics of a cigar-shaped Bose-Einstein condensate in an optical cavity," Phys. Rev. A 79, 033401 (2009). [CrossRef]
  21. G. Chen, X. G. Wang, J. -Q. Liang, and Z. D. Wang, "Exotic quantum phase transitions in a Bose-Einstein condensate coupled to an optical cavity," Phys. Rev. A 78, 023634 (2008). [CrossRef]
  22. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. Nijs, "Quantized Hall conductance in a two-dimensional periodic potential," Phys. Rev. Lett. 49, 405-408 (1982). [CrossRef]
  23. M. G. Moore, O. Zobay, and P. Meystre, "Quantum optics of a Bose-Einstein condensate coupled to a quantized light field," Phys. Rev. A 60, 1491-1506 (1999). [CrossRef]
  24. G. J. Miburn, J. Corney, E. M. Wright, and D. F. Walls, "Quantum dynamics of an atomic Bose-Einstein condensate in a double-well potential," Phys. Rev. A 55, 4318-4324 (1997). [CrossRef]
  25. R. G. Unanyan and M. Fleischhauer, "Decoherence-free generation of many-particle entanglement by adiabatic ground-state transitions," Phys. Rev. Lett. 90, 133601 (2003). [CrossRef] [PubMed]
  26. S. Morrison and A. S. Parkins, "Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model with proposed realization in optical cavity QED," Phys. Rev. Lett. 100, 040403 (2008). [CrossRef] [PubMed]
  27. A. Widera, O. Mandel, M. Greiner, S. Kreim, T W. Hansch, and I. Bloch, "Entanglement interferometry for precision measurement of atomic scattering properties," Phys. Rev. Lett. 92, 160406 (2004). [CrossRef] [PubMed]
  28. A. Widera, S. Trotzky, P. Cheinet, S. Foling, F. Gerbier, Immanuel Bloch, V. Gritsev, M. D. Lukin, and E . Demler, "Quantum spin dynamics of mode-squeezed Luttinger liquids in two-component atomic gases," Phys. Rev. Lett. 100, 140401 (2008). [CrossRef] [PubMed]
  29. G. Chen and J. -Q. Liang, "Unconventional quantum phase transition in the finite-size Lipkin-Meshkov-Glick model," New J. Phys. 8, 297 (2006). [CrossRef]
  30. W. Wernsdorfer and R. Sessoli, "Quantum phase interference and parity effects in magnetic molecular clusters" Science 284, 133-135 (1999). [CrossRef] [PubMed]
  31. R. Lu, M. Zhang, J. L. Zhu, and L. You, "Effect of even and odd numbers of atoms in a condensate inside a double-well potential," Phys. Rev. A 78, 011605(R) (2008). [CrossRef]
  32. W. M. Zhang, D. H. Feng, and R. Gilmore, "Coherent states: theory and some applications," Rev. Mod. Phys. 62, 867-927 (1990). [CrossRef]
  33. E. Fradkin, "Field Theories of Condensed Matter Systems," (MA: Addison-Wesley, Reading, 1992) Chap. 5.
  34. M. V. Berry, "Quantum phase factors accompanying adiabatic changes," Proc. R. Soc. London A 392, 45-57 (1984). [CrossRef]

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