Tkachenko Modes of the Square Vortex Lattice in a two-component Bose-Einstein Condensate

M. KEÇELİ; M. Ö. OKTEL

Makale detayları

Tkachenko Modes of the Square Vortex Lattice in a two-component Bose-Einstein Condensate

Yazarlar:

M. KEÇELİ | M. Ö. OKTEL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2006 Vol.30 Issue 4, pp.245-252

Belge Tipi:

Makale

Yayın Tarihi:

3/2006

Belge Dili:

Türkçe

Document ID (Org No.):

2000761311

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

We study Tkachenko modes of the square vortex lattice of a  two-component Bose-Einstein condensate (BEC) in the mean-field quantum  Hall regime, considering the coupling of these modes with density  excitations.  We derive the hydrodynamic equations and obtain the  dispersion relations of the excitation modes.  We find that there are  two types of excitations, gapped inertial modes and gapless Tkachenko  modes.  These modes have two branches which we call acoustic and  optical modes in analogy with phonons.  The former has quadratic while  the latter has linear wave-number dependence in both inertial and  Tkachenko modes.  Acoustic Tkachenko mode is found to be anisotropic  while the other three modes are isotropic.  The anisotropy of the  acoustic Tkachenko mode reflects the four-fold symmetry of the square  lattice.

 

We study Tkachenko modes of the square vortex lattice of a  two-component Bose-Einstein condensate (BEC) in the mean-field quantum  Hall regime, considering the coupling of these modes with density  excitations.  We derive the hydrodynamic equations and obtain the  dispersion relations of the excitation modes.  We find that there are  two types of excitations, gapped inertial modes and gapless Tkachenko  modes.  These modes have two branches which we call acoustic and  optical modes in analogy with phonons.  The former has quadratic while  the latter has linear wave-number dependence in both inertial and  Tkachenko modes.  Acoustic Tkachenko mode is found to be anisotropic  while the other three modes are isotropic.  The anisotropy of the  acoustic Tkachenko mode reflects the four-fold symmetry of the square  lattice.

Makale detayları

Tkachenko Modes of the Square Vortex Lattice in a two-component Bose-Einstein Condensate

Yazarlar:

M. KEÇELİ | M. Ö. OKTEL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2006 Vol.30 Issue 4, pp.245-252

Belge Tipi:

Makale

Yayın Tarihi:

3/2006

Belge Dili:

Türkçe

Document ID (Org No.):

2000761311

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Turk. J. Phys.

30

(2006)

245-252. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.30

iss.4.

Sayı

Makale detayları

Tkachenko Modes of the Square Vortex Lattice in a two-component Bose-Einstein Condensate

Yazarlar: M. KEÇELİ | M. Ö. OKTEL

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2006 Vol.30 Issue 4, pp.245-252

Belge Tipi: Makale

Yayın Tarihi: 3/2006

Belge Dili: Türkçe

Document ID (Org No.): 2000761311

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Turk. J. Phys.

30

(2006)

245-252. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.30

iss.4.

Sayı

Yazarlar:

M. KEÇELİ | M. Ö. OKTEL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2006 Vol.30 Issue 4, pp.245-252

Belge Tipi:

Makale

Yayın Tarihi:

3/2006

Belge Dili:

Türkçe

Document ID (Org No.):

2000761311

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101