Conditions for one-dimensional supersonic flow of quantum gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 6, 2004, Pages

  Giovanazzi, S ^a   Farrell, C ^a   Kiss, T ^b   Leonhardt, U ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; HYDRODYNAMICS; MATRIX ALGEBRA; PARAMETER ESTIMATION; SUPERSONIC FLOW; THEOREM PROVING; THERMAL EFFECTS; TURBULENCE; WAVEGUIDES;

BOSE-EINSTEIN CONDENSATES; HAWKING RADIATION; QUANTUM GASES; SUPERSONIC SPEED;

GASES;

EID: 37649028538     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.063602     Document Type: Article

References (31)

1. W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981).
2. M. Visser, Class. Quantum Grav. 15, 1767 (1998).
3. For fluids with vorticity, see S. E. P. Bergliaffa, K. Hibberd, M. Stone, and M. Visser, Physica D 191, 121 (2004).
4. S. M. Hawking, Nature (London) 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975).
5. S. M. Hawking, Nature (London) 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975).
6. R. Brout, S. Massar, R. Parentani, and Ph. Spindel, Phys. Rep. 260, 329 (1995).
7. Artificial Black Holes, edited by M. Novello, M. Visser, and G. E. Volovik (World Scientific, Singapore, 2002).
8. D. R. Tilley and J. Tilley, Superfluidity and Superconductivity (IOP, Bristol, 1996).
9. G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003).
10. L. P. Pitaevskii and S. Stringari, Bose Einstein Condensation (Clarendon, Oxford, 2003).
11. L. J. Garay, J. R. Anglin, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 85, 4643 (2000); Phys. Rev. A 63, 023611 (2001).
12. L. J. Garay, J. R. Anglin, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 85, 4643 (2000); Phys. Rev. A 63, 023611 (2001).
13. M. Sakagami and A. Ohashi, Prog. Theor. Phys. 107, 1267 (2002); C. Barcelo, S. Liberati, and M. Visser, Int. J. Mod. Phys. A 18, 3735 (2003).
14. M. Sakagami and A. Ohashi, Prog. Theor. Phys. 107, 1267 (2002); C. Barcelo, S. Liberati, and M. Visser, Int. J. Mod. Phys. A 18, 3735 (2003).
15. U. Leonhardt, T. Kiss, and P. Ohberg, Phys. Rev. A 67, 033602 (2003).
16. U. Leonhardt, T. Kiss, and P. Öhberg, J. Opt. B: Quantum Semiclassical Opt. 5, S42 (2003).
17. P. O. Fedichev and U. R. Fischer, Phys. Rev. Lett. 91, 240407 (2003); ibid. 92, 049901 (2004); Phys. Rev. D 69, 064021 (2004); Phys. Rev. A 69, 033602 (2004).
18. P. O. Fedichev and U. R. Fischer, Phys. Rev. Lett. 91, 240407 (2003); ibid. 92, 049901 (2004); Phys. Rev. D 69, 064021 (2004); Phys. Rev. A 69, 033602 (2004).
19. P. O. Fedichev and U. R. Fischer, Phys. Rev. Lett. 91, 240407 (2003); ibid. 92, 049901 (2004); Phys. Rev. D 69, 064021 (2004); Phys. Rev. A 69, 033602 (2004).
20. P. O. Fedichev and U. R. Fischer, Phys. Rev. Lett. 91, 240407 (2003); ibid. 92, 049901 (2004); Phys. Rev. D 69, 064021 (2004); Phys. Rev. A 69, 033602 (2004).
21. A. E. Leanhardt, T. A. Pasquini, M. Saba, A. Schirotzek, Y. Shin, D. Kielpinski, D. E. Pritchard, and W. Ketterle, Science 301, 1513 (2003).
22. R. Folman, P. Krüger, D. Cassettari, B. Hessmo, Th. Maier, and J. Schmiedmayer, Phys. Rev. Lett. 84, 4749 (2000); H. Ott, J. Fortágh, G. Schlotterbeck, A. Grossmann, and C. Zimmermann, ibid. 87, 230401 (2001); W. Hänsel, P. Hommelhoff, and T. W. Hänsch, Nature (London) 413, 498 (2001).
23. R. Folman, P. Krüger, D. Cassettari, B. Hessmo, Th. Maier, and J. Schmiedmayer, Phys. Rev. Lett. 84, 4749 (2000); H. Ott, J. Fortágh, G. Schlotterbeck, A. Grossmann, and C. Zimmermann, ibid. 87, 230401 (2001); W. Hänsel, P. Hommelhoff, and T. W. Hänsch, Nature (London) 413, 498 (2001).
24. R. Folman, P. Krüger, D. Cassettari, B. Hessmo, Th. Maier, and J. Schmiedmayer, Phys. Rev. Lett. 84, 4749 (2000); H. Ott, J. Fortágh, G. Schlotterbeck, A. Grossmann, and C. Zimmermann, ibid. 87, 230401 (2001); W. Hänsel, P. Hommelhoff, and T. W. Hänsch, Nature (London) 413, 498 (2001).
25. J. Denschlag, D. Cassettari, and J. Schmiedmayer, Phys. Rev. Lett. 82, 2014 (1999).
26. A. Görlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, Phys. Rev. Lett. 87, 130402 (2001).
27. Y. Shin, M. Saba, A. Schirotzek, T. A. Pasquini, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 92, 150401 (2004); Y. Shin, M. Saba, T. A. Pasquini, W. Ketterle, D. E. Pritchard, and A. E. Leanhardt, ibid. 92, 050405 (2004).
28. Y. Shin, M. Saba, A. Schirotzek, T. A. Pasquini, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 92, 150401 (2004); Y. Shin, M. Saba, T. A. Pasquini, W. Ketterle, D. E. Pritchard, and A. E. Leanhardt, ibid. 92, 050405 (2004).
29. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1982).
30. C. Farrell and U. Leonhardt, J. Opt. B: Quantum Semiclassical Opt. 7, 1 (2005).
31. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, England, 1992).