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

M. KEÇELİ; M. Ö. OKTEL

Article Details

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

Authors:

M. KEÇELİ | M. Ö. OKTEL

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

3/2006

Document Language:

Turkish

Document ID (Org No.):

2000761311

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101

Keywords:

Abstract:

 

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.

Article Details

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

Authors:

M. KEÇELİ | M. Ö. OKTEL

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

3/2006

Document Language:

Turkish

Document ID (Org No.):

2000761311

Frequency:

Bimonthly

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.

Issues

Article Details

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

Authors: M. KEÇELİ | M. Ö. OKTEL

Publisher: TUBITAK

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

Document Type: Article

Publication Date: 3/2006

Document Language: Turkish

Document ID (Org No.): 2000761311

Frequency: Bimonthly

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.

Issues

Authors:

M. KEÇELİ | M. Ö. OKTEL

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

3/2006

Document Language:

Turkish

Document ID (Org No.):

2000761311

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101