Abstract
An effective Hamiltonian for the Bose system in the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the Fermi degrees of freedom. An instability of the Bose system is found in the case of attractive interaction between components that is in good agreement with an experiment on the bosonic 87Rb and fermionic 40K mixture.
Similar content being viewed by others
References
M. N. Anderson, J. R. Ensher, M. R. Matthews, et al., Science 269, 198 (1995).
K. B. Davis, M.-O. Mewes, M. R. Andrews, et al., Phys. Rev. Lett. 75, 3969 (1995).
C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997).
B. DeMarco and D. S. Jin, Science 285, 1703 (1999).
A. G. Truscott, K. E. Strecker, W. I. McAlexander, et al., Science 291, 2570 (2001).
K. M. O’Hara, S. L. Hemmer, M. E. Gehm, et al., Science 298, 2179 (2002).
C. A. Regal, C. Ticknor, J. L. Bohn, and D. S. Jin, Nature 424, 47 (2003).
M. Greiner, C. A. Regal, and D. S. Jin, Nature 426, 537 (2003).
S. Jochim, M. Bartenstein, A. Altmeyer, et al., Science 302, 210 (2003).
F. Schreck, L. Khaykovich, K. L. Corwin, et al., Phys. Rev. Lett. 87, 080403 (2001).
G. Modungo, G. Roati, F. Riboli, et al., Science 297, 2240 (2002).
T. Miyakawa, T. Suzuki, and H. Yabu, Phys. Rev. A 64, 033611 (2001).
R. Roth, Phys. Rev. A 66, 013614 (2002).
S. T. Chui and V. N. Ryzhov, Phys. Rev. A 69, 043607 (2004).
M. J. Bijlsma, B. A. Heringa, and H. T. C. Stoof, Phys. Rev. A 61, y053601 (2000).
M. Lewenstein, L. Santos, M. A. Baranov, and H. Fehrmann, Phys. Rev. Lett. 92, 050401 (2004).
Z. Hadzibabic, C. A. Stan, K. Dieckmann, et al., Phys. Rev. Lett. 88, 160401 (2002).
J. Goldwin, S. B. Papp, B. DeMarco, and D. S. Jin, Phys. Rev. A 65, 021402(R) (2002).
V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
H. T. C. Stoof, cond-mat/9910441.
D. A. Butts and D. S. Rokhsar, Phys. Rev. A 55, 4346 (1997).
F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
Yu. Kagan, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. Lett. 81, 933 (1998).
Yu. Kagan, G. V. Shlyapnikov, and J. T. W. Walraven, Phys. Rev. Lett. 76, 2670 (1996).
M. Yu. Kagan, I. V. Brodsky, D. V. Efremov, and A. V. Klaptsov, cond-mat/0209481.
Author information
Authors and Affiliations
Additional information
From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 80, No. 4, 2004, pp. 305–310.
Original English Text Copyright © 2004 by Chui, Ryzhov, Tareyeva.
This article was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Chui, S.T., Ryzhov, V.N. & Tareyeva, E.E. Stability of the Bose system in Bose-Fermi mixture with attraction between bosons and fermions. Jetp Lett. 80, 274–279 (2004). https://doi.org/10.1134/1.1813686
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1813686