### Abstract

The dynamical instability of weakly interacting two-component Bose-Einstein condensates with coaxial quantized vortices is analytically investigated in a two-dimensional isotopic harmonic potential. We examine whether complex eigenvalues appear on the Bogoliubov-de Gennes equation, implying dynamical instability. Rather than solving the Bogoliubov-de Gennes equation numerically, we rely on a perturbative expansion with respect to the coupling constant which enables a simple, analytic approach. For each pair of winding numbers and for each magnetic quantum number, the ranges of intercomponent coupling constant where the system is dynamically unstable are exhaustively obtained. Corotating and counter-rotating systems show distinctive behaviors. The latter is much more complicated than the former with respect to dynamical instability, particularly because radial excitations contribute to complex eigenvalues in counter-rotating systems.

Original language | English |
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Article number | 043622 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 93 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2016 Apr 25 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*93*(4), [043622]. https://doi.org/10.1103/PhysRevA.93.043622

**Analytical study of parameter regions of dynamical instability for two-component Bose-Einstein condensates with coaxial quantized vortices.** / Hoashi, M.; Nakamura, Y.; Yamanaka, Yoshiya.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 93, no. 4, 043622. https://doi.org/10.1103/PhysRevA.93.043622

}

TY - JOUR

T1 - Analytical study of parameter regions of dynamical instability for two-component Bose-Einstein condensates with coaxial quantized vortices

AU - Hoashi, M.

AU - Nakamura, Y.

AU - Yamanaka, Yoshiya

PY - 2016/4/25

Y1 - 2016/4/25

N2 - The dynamical instability of weakly interacting two-component Bose-Einstein condensates with coaxial quantized vortices is analytically investigated in a two-dimensional isotopic harmonic potential. We examine whether complex eigenvalues appear on the Bogoliubov-de Gennes equation, implying dynamical instability. Rather than solving the Bogoliubov-de Gennes equation numerically, we rely on a perturbative expansion with respect to the coupling constant which enables a simple, analytic approach. For each pair of winding numbers and for each magnetic quantum number, the ranges of intercomponent coupling constant where the system is dynamically unstable are exhaustively obtained. Corotating and counter-rotating systems show distinctive behaviors. The latter is much more complicated than the former with respect to dynamical instability, particularly because radial excitations contribute to complex eigenvalues in counter-rotating systems.

AB - The dynamical instability of weakly interacting two-component Bose-Einstein condensates with coaxial quantized vortices is analytically investigated in a two-dimensional isotopic harmonic potential. We examine whether complex eigenvalues appear on the Bogoliubov-de Gennes equation, implying dynamical instability. Rather than solving the Bogoliubov-de Gennes equation numerically, we rely on a perturbative expansion with respect to the coupling constant which enables a simple, analytic approach. For each pair of winding numbers and for each magnetic quantum number, the ranges of intercomponent coupling constant where the system is dynamically unstable are exhaustively obtained. Corotating and counter-rotating systems show distinctive behaviors. The latter is much more complicated than the former with respect to dynamical instability, particularly because radial excitations contribute to complex eigenvalues in counter-rotating systems.

UR - http://www.scopus.com/inward/record.url?scp=84964746600&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964746600&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.93.043622

DO - 10.1103/PhysRevA.93.043622

M3 - Article

AN - SCOPUS:84964746600

VL - 93

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

M1 - 043622

ER -