TY - JOUR
T1 - Quantum field theoretical description of dynamical instability of trapped Bose-Einstein condensates
AU - Mine, Makoto
AU - Okumura, Masahiko
AU - Sunaga, Tomoka
AU - Yamanaka, Yoshiya
N1 - Funding Information:
Acknowledgements The authors would like to thank Professor I. Ohba and Professor H. Nakazato for helpful comments and encouragement, and Dr. M. Miyamoto and Dr. K. Kobayashi for useful discussions. M.M. is supported partially by Fujukai. M.M. and T.S. are supported partially by the Grant-in-Aid for The 21st Century COE Program (Physics of Self-organization Systems) at Waseda University. This work is partly supported by a Grant-in-Aid for Scientific Research (C) (No. 17540364) from the Japan Society for the Promotion of Science, for Young Scientists (B) (No. 17740258) and for Priority Area Research (B) (No. 13135221) both from the Ministry of Education, Culture, Sports, Science and Technology, Japan.
PY - 2007/8
Y1 - 2007/8
N2 - The Bogoliubov-de Gennes equations are used for a number of theoretical works on the trapped Bose-Einstein condensates. We consider the case in which these equations have complex eigenvalues. We give the complete set including a pair of complex modes whose eigenvalues are complex conjugate to each other. The expansion of the quantum fields which represent neutral atoms in terms of the complete set brings about the operators associated with the complex modes, which are simply neither bosonic nor fermionic ones. The eigenstate of the Hamiltonian is given. Introducing the notion of the physical states, we discuss the instability of the condensates in the context of Kubo's linear response theory.
AB - The Bogoliubov-de Gennes equations are used for a number of theoretical works on the trapped Bose-Einstein condensates. We consider the case in which these equations have complex eigenvalues. We give the complete set including a pair of complex modes whose eigenvalues are complex conjugate to each other. The expansion of the quantum fields which represent neutral atoms in terms of the complete set brings about the operators associated with the complex modes, which are simply neither bosonic nor fermionic ones. The eigenstate of the Hamiltonian is given. Introducing the notion of the physical states, we discuss the instability of the condensates in the context of Kubo's linear response theory.
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U2 - 10.1007/s10909-007-9393-y
DO - 10.1007/s10909-007-9393-y
M3 - Article
AN - SCOPUS:34347379589
VL - 148
SP - 331
EP - 336
JO - Journal of Low Temperature Physics
JF - Journal of Low Temperature Physics
SN - 0022-2291
IS - 3-4
ER -