RT Journal Article T1 Sonic analog of gravitational black holes in Bose-Einstein condensates A1 Garay Elizondo, Luis Javier A1 Anglin, J. R. A1 Cirac, J. I. A1 Zoller, P. AB It is shown that, in dilute-gas Bose-Einstein condensates, there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior resembling that of gravitational black holes. The dynamical instabilities involve creation of quasiparticle pairs in positive and negative energy states, as in the well-known suggested mechanism for black-hole evaporation. We propose a scheme to generate a stable sonic black hole in a ring trap. PB American Physical Society SN 0031-9007 YR 2000 FD 2000-11-27 LK https://hdl.handle.net/20.500.14352/59523 UL https://hdl.handle.net/20.500.14352/59523 LA eng NO [1] M. H. Anderson et al., Science 269, 198 (1995); K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995). [2] See, e.g., F. Dalfovo et al., Rev. Mod. Phys. 71, 463 (1999). [3] C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).[4] W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981). [5] S. W. Hawking, Nature (London) 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975). [6] T. Jacobson, Phys. Rev. D 44, 1731 (1991). [7] W. G. Unruh, Phys. Rev. D 51, 2827 (1995). [8] S. Corley and T. Jacobson, Phys. Rev. D 59, 124011 (1999); S. Corley, Phys. Rev. D 57, 6280 (1998). [9] M. Visser, Phys. Rev. Lett. 80, 3436 (1998); Classical Quantum Gravity 15, 1767 (1998). [10] M. R. Matthews et al., Phys. Rev. Lett. 83, 2498 (1999); L. Denget et al., Nature (London) 398, 218 (1999); S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999). [11] M. R. Andrews et al., Science 275, 637 (1997); I. Bloch, T. W. Hänsch, and T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999); E. W. Hagley et al., Science 283, 1706 (1999).[12] P. O. Fedichev and G. V. Shlyapnikov, Phys. Rev. A 60, R1779 (1999). [13] R. Dum et al., Phys. Rev. Lett. 80, 2972 (1998); J. Williams and M. Holland, Nature (London) 401, 568 (1999). [14] V. M. H. Ruutu et al., Nature (London) 382, 334 (1996); T. A. Jacobson and G. E. Volovik, Phys. Rev. D 58, 64021 (1998); G. E. Volovik, Pis’ma Zh. Eksp. Teor. Fiz. 69, 662 (1999) [JETP Lett. 69, 705 (1999)].[15] B. Reznik, gr-qc/9703076. [16] U. Leonhardt and P. Piwnicki, Phys. Rev. Lett. 84, 822 (2000). [17] L. J. Garay et al., Phys. Rev. A (to be published). NO © 2000 The American Physical Society.We thank the Austrian Science Foundation and the European Union TMR networks ERBFMRX-CT96-0002 and ERB-FMRX-CT96-0087. NO Austrian Science Foundation NO European Union TMR networks DS Docta Complutense RD 29 abr 2024