Quantum field theoretical description of dynamical instability of trapped Bose-Einstein condensates

Makoto Mine, Masahiko Okumura, Tomoka Sunaga, Yoshiya Yamanaka

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)331-336
Number of pages6
JournalJournal of Low Temperature Physics
Volume148
Issue number3-4
DOIs
Publication statusPublished - 2007 Aug

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Hamiltonians
Bose-Einstein condensates
eigenvalues
Atoms
neutral atoms
condensates
eigenvectors
operators
expansion

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 journalArticle

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