Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 331-336 |
| Number of pages | 6 |
| Journal | Journal of Low Temperature Physics |
| Volume | 148 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2007 Aug |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Quantum field theoretical description of dynamical instability of trapped Bose-Einstein condensates. / Mine, Makoto; Okumura, Masahiko; Sunaga, Tomoka; Yamanaka, Yoshiya.
In: Journal of Low Temperature Physics, Vol. 148, No. 3-4, 08.2007, p. 331-336.Research output: Contribution to journal › Article
}
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
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.
UR - http://www.scopus.com/inward/record.url?scp=34347379589&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34347379589&partnerID=8YFLogxK
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 -