Breathing Modes in Rotating Bose-Condensed Gas: An Exact Diagonalization Study

Authors

  • Mohd. Imran Department of Physics, Jamia Millia Islamia (Central University), New Delhi 110025
  • M. A.H. Ahsan Department of Physics, Jamia Millia Islamia (Central University), New Delhi 110025

DOI:

https://doi.org/10.26713/jamcnp.v2i2.335

Keywords:

Bose-Einstein condensate, Exact diagonalization, Beyond lowest Landau level (LLL) approximation, Breathing mode, Finite-range Gaussian interaction potential

Abstract

We present an exact diagonalization study of the breathing mode collective excitations for a rotating Bose-Einstein condensate of \(N = 10\) spinless bosons interacting via repulsive finiterange Gaussian potential and harmonically confined in quasi-two-dimension. The yrast state and the low-lying excited states are variationally obtained in given subspaces of the quantized total angular momentum \(L\) employing the beyond lowest Landau level approximation in slowly rotating regime with \(0\le L< 2N\). For a given \(L\), the low-energy eigenspectra (bands) are obtained in weakly to moderately interacting regime. Further, for a given interaction, the split in low-lying eigenenergies with increasing \(L\) is the precursor to spontaneous symmetry breaking of the axisymmetry associated with the entry of the first vortex. With increase in repulsive interaction, the value of the first breathing mode increases for stable total angular momentum states \(L = 0\) and \(N\), but decreases for intermediate \(0 < L < N\) metastable states. The position of the observed first breathing modes in the eigenspectrum remains unchanged as the interaction is varied over several orders of magnitude.

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Published

2015-12-20
CITATION

How to Cite

Imran, M., & Ahsan, M. A. (2015). Breathing Modes in Rotating Bose-Condensed Gas: An Exact Diagonalization Study. Journal of Atomic, Molecular, Condensed Matter and Nano Physics, 2(2), 133–139. https://doi.org/10.26713/jamcnp.v2i2.335

Issue

Vol. 2 No. 2 (2015)

Section

Research Article

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