Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-06-07
Physics
Condensed Matter
Other Condensed Matter
16pages, 4figures
Scientific paper
10.1016/j.aop.2007.09.002
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 a 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 consitent with as those given by the discrete nonlinear Schrodinger equation.
Kobayashi Koji
Mine Makoto
Okumura Masahiko
Yamanaka Yasuhiro
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