Abstract
The condition for the appearance of dynamical instability of the Bose-condensed system, characterized by the emergence of complex eigenvalues in the Bogoliubov-de Gennes equations, is studied analytically. It is concluded that the degeneracy between a positive-norm eigenmode and a negative-norm one is essential for the emergence of complex modes. Based on the conclusion, we justify the two-mode approximation applied in our previous work, in which we analytically studied the condition for the existence of complex modes when the condensate has a highly quantized vortex.
| Original language | English |
|---|---|
| Article number | 043601 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 77 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2008 Apr 1 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
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Nakamura, Y., Mine, M., Okumura, M., & Yamanaka, Y. (2008). Condition for emergence of complex eigenvalues in the Bogoliubov-de Gennes equations. Physical Review A - Atomic, Molecular, and Optical Physics, 77(4), [043601]. https://doi.org/10.1103/PhysRevA.77.043601