### 抜粋

We study the dynamics of Bose-Einstein condensates flowing in optical lattices on the basis of quantum field theory. For such a system, a Bose-Einstein condensate shows an unstable behavior which is called the dynamical instability. The unstable system is characterized by the appearance of modes with complex eigenvalues. Expanding the field operator in terms of excitation modes including complex ones, we attempt to diagonalize the unperturbative Hamiltonian and to find its eigenstates. It turns out that although the unperturbed Hamiltonian is not diagonalizable in the conventional bosonic representation the appropriate choice of physical states leads to a consistent formulation. Then we analyze the dynamics of the system in the regime of the linear response theory. Its numerical results are consistent with those given by the discrete nonlinear Schrödinger equation.

元の言語 | English |
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ページ（範囲） | 1247-1270 |

ページ数 | 24 |

ジャーナル | Annals of Physics |

巻 | 323 |

発行部数 | 5 |

DOI | |

出版物ステータス | Published - 2008 5 1 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## フィンガープリント Quantum field theoretical analysis on unstable behavior of Bose-Einstein condensates in optical lattices' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Annals of Physics*,

*323*(5), 1247-1270. https://doi.org/10.1016/j.aop.2007.09.002