Peierls instability, periodic Bose-Einstein condensates, and density waves in quasi-one-dimensional boson-fermion mixtures of atomic gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 1, 2004, Pages

  Miyakawa, Takahiko ^a   Yabu, Hiroyuki ^b   Suzuki, Toru ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BESSEL FUNCTIONS; FERMI LEVEL; FERMIONS; GREEN'S FUNCTION; GROUND STATE; HAMILTONIANS; MATRIX ALGEBRA; MIXTURES; PHONONS;

ATOMIC GASES; BOSE-FERMI MIXTURE; DENSITY WAVES; WAVE NUMBER;

GAS CONDENSATES;

EID: 19244366320     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.013612     Document Type: Article

References (44)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. D. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
2. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. D. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
3. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999); C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, England, 2002).
4. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999); C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, England, 2002).
5. B. DeMarco and D. S. Jin, Science 285, 1703 (1999); B. De-Marco, S. B. Rapp, and D. S. Jin, Phys. Rev. Lett. 86, 5409 (2001).
6. B. DeMarco and D. S. Jin, Science 285, 1703 (1999); B. De-Marco, S. B. Rapp, and D. S. Jin, Phys. Rev. Lett. 86, 5409 (2001).
7. A. G. Truscott, K. E. Strecker, W. I. McAlexander, G. B. Partridge, and R. G. Hulet, Science 291, 2570 (2001).
8. F. Schreck, L. Khaykovich, K. L. Corwin, G. Ferrari, T. Bourdel, J. Cubizolles, and C. Salomon, Phys. Rev. Lett. 87, 080403 (2001).
9. K. Mølmer, Phys. Rev. Lett. 80, 1804 (1998).
10. M. Amoruso, A. Minguzzi, S. Stringari, M. P. Tosi, and L. Vichi, Eur. Phys. J. D 4, 261 (1998).
11. T. Tsurumi and M. Wadati, J. Phys. Soc. Jpn. 69, 97 (2000).
12. A. Minguzzi and M. P. Tosi, Phys. Lett. A 268, 142 (2000).
13. T. Miyakawa, K. Oda, T. Suzuki, and H. Yabu, J. Phys. Soc. Jpn. 69, 2779 (2000).
14. M. J. Bijlsma, B. A. Heringa, and H. T. C. Stoof, Phys. Rev. A 61, 053601 (2000).
15. L. Viverit, C. J. Pethick, and H. Smith, Phys. Rev. A 61, 053605 (2003).
16. T. Miyakawa, T. Suzuki, and H. Yabu, Phys. Rev. A 62, 063613 (2000); 64, 033611 (2001).
17. T. Miyakawa, T. Suzuki, and H. Yabu, Phys. Rev. A 62, 063613 (2000); 64, 033611 (2001).
18. R. Roth and H. Feldmeier, Phys. Rev. A 65, 021603(R) (2002).
19. C. P. Search, H. Pu, W. Zhang, and P. Meystre, Phys. Rev. A 65, 063615 (2002).
20. T. Sogo, T. Miyakawa, T. Suzuki, and H. Yabu, Phys. Rev. A 66, 013618 (2002).
21. K. K. Das, Phys. Rev. Lett. 90, 170403 (2003).
22. H. P. Büchler and G. Blatter, Phys. Rev. Lett. 91, 130404 (2003).
23. M. Greiner, I. Bloch, O. Mandel, Th. W. Hänsch, and T. Esslinger, Phys. Rev. Lett. 87, 160405 (2001).
24. 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).
25. H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 91, 250402 (2003).
26. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, and K. Sengstock, Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000).
27. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, and K. Sengstock, Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000).
28. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002); K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) 417, 150 (2002).
29. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002); K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) 417, 150 (2002).
30. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. 84, 2551 (2000); D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, ibid. 85, 3745 (2000).
31. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. 84, 2551 (2000); D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, ibid. 85, 3745 (2000).
32. M. Girardeau, J. Math. Phys. 1, 516 (1960); Phys. Rev. 139, B500 (1965).
33. M. Girardeau, J. Math. Phys. 1, 516 (1960); Phys. Rev. 139, B500 (1965).
34. S. Kagoshima, H. Nagasawa, and T. Sambongi, One-Dimensional Conductors, Springer Series in Solid-State Science, Vol. 72 (Springer-Verlag, Berlin, 1988) ; G. Grüner, Density Waves in Solids (Addison-Wesley Longmans, Reading, MA, 1994).
35. S. Kagoshima, H. Nagasawa, and T. Sambongi, One-Dimensional Conductors, Springer Series in Solid-State Science, Vol. 72 (Springer-Verlag, Berlin, 1988) ; G. Grüner, Density Waves in Solids (Addison-Wesley Longmans, Reading, MA, 1994).
36. H. Fröhlich, Proc. R. Soc. London, Ser. A 223, 296 (1954); R. E. Peierls, Quantum Theory of Solids (Oxford University Press, New York, 1955).
37. H. Fröhlich, Proc. R. Soc. London, Ser. A 223, 296 (1954); R. E. Peierls, Quantum Theory of Solids (Oxford University Press, New York, 1955).
38. T. Miyakawa, H. Yabu, and T. Suzuki, Physica B 329-333, 28 (2003).
39. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
40. A. L. Fetter and D. Rokhsar, Phys. Rev. A 57, 1191 (1998).
41. B. Horovitz and M. Weger, Phys. Rev. B 9, 1246 (1974).
42. F. Gleisberg, W. Wonneberger, U. Schlöder, and C. Zimmermann, Phys. Rev. A 62, 063602 (2000).
43. J. P. Burke, Jr. and J. L. Bohn, Phys. Rev. A 59, 1303 (1999).
44. P. A. Lee, T. M. Rice, and P. M. Anderson, Phys. Rev. Lett. 31, 462 (1973).