Early universe quantum processes in BEC collapse experiments

International Journal of Theoretical Physics

Volumn 44, Issue 10, 2005, Pages 1691-1704

  Calzetta, E A ^a   Hu, B L ^b  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b Bldg 142   (United States)

Author keywords

Bose Einstein condensates; Cosmology; Field theory

Indexed keywords

EID: 29244439016     PISSN: 00207748     EISSN: 15729575     Source Type: Journal    
DOI: 10.1007/s10773-005-8889-y     Document Type: Conference Paper

References (80)

1. Adhikari, S. K. (2004). Mean-field model of jet formation in a collapsing Bose-Einstein condensate. Journal of Physics B: Atomic, Molecular and Optical Physics 37, 1185.
2. Andersen, J. (2004). Theory of the weakly interacting Bose gas. Review of Modern Physics 76, 599.
3. Bao, W., Jaksch, D., and Markovich, P. (2004). Three-dimensional simulation of jet formation in collapsing condensates. Journal of Physics B: Atomic, Molecular and Optical Physics 37, 329.
4. Barcelo, C., Liberati, S., and Visser, M. (2001). Classical Quantum Gravity 18, 1137.
5. Barcelo, C., Liberati, S., and Visser, M. (2003). Probing semiclassical analog gravity in Bose-Einstein condensates with widely tunable interactions. Physical Review A 68, 053613.
6. Bardeen, J. (1980). Journal of Physical Review D 22, 1882.
7. Berman, G., Smerzi, A., and Bishop, A. (2002). Quantum instability of a Bose-Einstein condensate with attractive interaction. Physics Review Letters 88, 120402.
8. Birrell, N. D. and Davies, P. C. W. (1982). Quantum Fields in Curved Spaces, Cambridge University Press, Cambridge, England.
9. Calzetta, E. (1989). Spinodal Decomposition in Quantum Field Theory. Annals of Physics (New York) 190, 32.
10. Calzetta, E. and Hu, B. L. (2003). Bose-Einstein condensate and dynamical squeezing of vacuum fluctuations. Physical Review A 68, 043625 [cond-mat/0207289].
11. Calzetta, E. and Hu, B. L. (2002). Base-Novae as Squeezing of the Vacuum by Condensate Dynamics [cond-mat/0208569].
12. Castin, Y. and Dum, R. (1998). Low-temperature Bose-Einstein condensates in time dependent traps: Beyond the U(1) symmetry-breaking approach. Physical Review A 57, 3008.
13. Castin, Y. and Dum, R. (1997). Instability and depletion of an excited Bose-Einstein condensate in a trap. Physical Review Letters 79, 3553
14. Charters, T., Nunes, A., and Mimoso, J. (2005). hep-ph/0502053.
15. Chin, J., Vogels, J., and Ketterle, W. (2003). Amplification of local instabilities ina Bose-Einstein condensate with attractive interaction. Physics Review Letters 90, 160405.
16. Chung, D., et al. (2000). Physical Review D 62, 043508.
17. Claussen, N. (2003). PhD Thesis, University of Colorado.
18. Claussen, N., Donley, E. A., Thompson, S. T., and Wieman, C. E. (2002). Microscopic Dynamics in a Strongly Interacting Bose-Einstein Condensate. Physical Review Letters 89, 10401.
19. 85Rb Feschbach resonance. Physical Review A 67, 060701(R).
20. Cooper, F., Kluger, Y., Mottola, E., and Paz, J. P. (1995). Nonequilibrium quantum dynamics of disoriented chiral condensates. Physical Review D 51, 2377.
21. 85Rb Bose-Einstein condensate with widely tunable interactions. Physical Review Letters 85, 1795.
22. Donley, E., et al. (2002). Atom-molecule coherence in a Bose-Einstein condensate. Nature 417, 529.
23. Donley, E., Claussen, N., Cornish, S., Roberts, J., Cornell, E., and Wieman, C. (2001). Dynamics of collapsing and exploding Bose-Einstein condensates. Nature 412, 295.
24. Duine, R. and Stoof, H. (2003). Dynamics of a Bose-Einstein Condensate near a Feshbach Resonance. Physical Review A 68, 013602.
25. Fedichev, P. and Fischer, U. (2004). Cosmological particle production in oscillating ultracold Bose gases: The role of dimensionality. Physical Review A 69, 033602.
26. Fischer, U. R. and Schützhold, R. (2004). Quantum simulation of cosmic inflation in two- component Bose-Einstein condensates. Physical Review A 70, 063615.
27. Fujisaki, H., et al. (1996). Physical Review D 53, 6805.
28. Gammal, A., Frederico, T., and Tomio, L. (2001). Critical number of atoms for attractive Bose-Einstein condensates with cylindrically symmetric traps. Physical Review A 64, 55602.
29. Garay, L., Anglin, J., Cirac, J., and Zoller, P. (2000). Physical Review Letters 85, 4643-4647.
30. Gardiner, C. (1997). Particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaievskii equation for a highly condensed Bose gas. Physical Review A 56, 1414.
31. Gardiner, S., Jaksch, D., Dum, R., Cirac, J., and Zoller, P. (2000). Nonlinear matter wave dynamics with a chaotic potential. Physical Review A 62, 23612.
32. Girardeau, M. and Arnowitt, R. (1959). Theory of many-boson systems: Pair theory. Physical Review A 113, 755.
33. Griffin, A. (1996). Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures. Physical Review B 53, 9341.
34. Grischuk, L. and Sidorov, Y V. (1990). Squeezed quantum states of relic gravitons and primordial density fluctuations. Physical Review D 42, 3413.
35. Guth, A. H. (1981). Physical Review D 23, 347.
36. Hawking, S. W. (1974). Nature 248, 30.
37. Hawking, S. W (1975). Communications in Mathematical Physics 43, 199.
38. Hohenberg, P. and Martin, P. (1965). Martin, Microscopic theory of superfluid helium. Annals of Physics 34, 291.
39. Hu, B. L. (1988). Cosmology as 'condensed matter' physics. In Proceedings of Third Asia Pacific Physics Conference, Vol. 1, Y. W. Chan et al., eds., World Scientific, Singapore, p. 301. [gr-qc/9511076].
40. Hu, B. L., Kang, G., and Matacz, A. (1994). International Journal of Modern Physics A 9, 991.
41. Idziaszek, Z. (2004). cond-mat/0406052.
42. Ivanov, Yu., Riek, F., and Knoll, J. (2005). Gapless Hartree-Fock resummation scheme for the O(N) Model, hep-ph/0502146.
43. Jacobson, T. (1991). Physical Review D 44, 1731.
44. Jacobson, T. (1994). Physical Review D 53, 7082.
45. Jacobson, T. and Koike, T. (2002). Black hole and baby universe in a thin film of 3He-A, Chapter for book. In Artificial Black Holes, M. Novello, M. Visser, and G. Volovik, eds., World Scientific, Singapore (cond-mat/0205174).
46. Kagan, Yu. and Maksimov, L. (2001). Damping of a trapped Bose - Einstein condensate oscillations at zero temperature. Physical Review A 64, 53610.
47. Kofman, L., Linde, A., and Starobinsky, A. (1994). Physical Review Letters 73, 3195.
48. Kofman, L., Linde, A., and Starobinsky, A. (1997). Physical Review D 56, 3258, and referencs therein.
49. Kokkelmans, S. and Holland, M. (2002). Ramsey Fringes in a Bose-Einstein Condensate between Atoms and Molecules. Physical Review Letters 89, 180401.
50. Métens, S., Dewel, G., and Borckmans, P. (2003). Nonadiabatic effects in the dynamics of collapsing Bose-Einstein condensates. Physical Review A 68, 045601.
51. 85Rb Condensates. Physical Review Letters 89, 180403.
52. Mackie, M., Suominen, K., and Javainen, J. (2003). Rapid Adiabatic Passage from an Atomic to a Molecular Condensate (physics/0210131) in Interactions in Ultracold Gases: From Atoms to Molecules, M. Weidemueller and C. Zimmermann, eds., Wiley-VCH, Weinheim (cond-mat/0209083).
53. Morgan, S. (2003). The response of Bose-Einstein condensates to external perturbations at finite temperature (cond-mat/0307246).
54. Mukhanov, V., Feldman, H., and Brandenberger, R. (1992). Theory of cosmological perturbations. Physics Report 215, 203. and references therein.
55. Parker, L. (1969). Quantized fields and particle creation in expanding Universes. Physical Review 183, 1057.
56. Peebles, J. P. E. (1993). Principles of Physical Cosmology, Princeton University Press, Princeton, NJ.
57. Penrose, O. and Onsager, L. (1956). Physical Review 104, 576.
58. Pethick, C. and Smith, H. (2002). Bose-Einstein Condensation in Dilute Gases, Cambridge University Press, Cambridge, England.
59. Ramsey, S. A. and Hu, B. L. (1997). Physical Review D 56, 678.
60. Rey, A. M., Hu, B. L., Calzetta, E., Roura, A., and Clark, C. (2004). Nonequilibrium dynamics of optical-lattice-loaded Bpse-Einstein-condensate atoms: Beyond the Hartree-Fock-Bogoliubov approximation. Physical Review A 69, 033610.
61. 85Rb. Physical Review Letter 81, 5109.
62. Rogel-Salazar, J., Choi, S., New, G. H. C., and Burnett, K. (2002). Squeezing and entanglement in quasiparticle excitations of trapped Bose-Einstein condensates. Physical Review A 65, 023601 [cond-mat/0110076].
63. Saito, H. and Ueda, M. (2003). A consistent picture of a collapsing Bose - Einstein condensate. Journal of Physics Society, Japan 72(Suppl. C), 127-133 [cond-mat/0305242].
64. Santos, L. and Shlyapnikov, G. (2002). Collapse dynamics of trapped Bose-Einstein condensates. phys. Rev. A 66, 011602 (R).
65. Savage, C., Robins, N., and Hope, J. (2003). Hope, Bose-Einstein condensate collapse: A comparison between theory and experiment. Physical Review A 67, 014304 [cond-mat/0207308].
66. Schützhold, R. and Unruh, W. G. (2002). Physical Review D 66, 044019.
67. Schwinger, J. (1951). On gauge invariance and vacuum polarization. Physical Review 82, 664.
68. Shi, H. and Griffin, A. (1998). Finite-temperature excitations in a dilute Bose- condensed gas. Physics Report 304, 1.
69. Shtanov, Y., Traschen, J., and Brandenberger, R. (1995). Physical Review D 51, 5438.
70. Smolin, L. (1995). Cosmology as a Problem in Critical Phenomena. In Complex Systems and Binary Networks, L. Lopez-Pena, et al. eds., Springer, Berlin [gr-qc/9505022].
71. Trippenbach, M., Band, Y., and Julienne, P. (2000). Physical Review A 62, 23608.
72. Unruh, W. G. (1981). Physical Review Letters 46, 1351.
73. Unruh, W. G. (1995). Physical Review D 51, 2827.
74. Volovik, G. (2003). Universe in a Helium Droplet, Oxford University Press, Oxford.
75. Wüster, S., Hope, J., and Savage, C. (2004). Collapsing Bose-Einstein condensates beyond the Gross-Pitaevskii approximation [cond-mat/0412041].
76. Yurovsky, V. A. (2002). Quantum effects on dynamics of instabilities in Bose-Einstein condensates. Physical Review A 65, 33605.
77. Yurovsky, V. A. and Ben-Reuven, A. (2003). Formation of a molecular Bose-Einstein condensate and an entangled atomic gas by Feshbach resonance. Physical Review A 67, 043611 [cond-mat/0205267].
78. Zel'dovich.Ya. (1970). PismaZh. Eksp. Teor. Fiz 12, 443
79. (Soviet Physics-JETP Letters 12, 307 (1971)).
80. Zurek, W. (1996). Physics Report 276, 178.