2000/10/18 by D. V. Fil, S. I. Shevchenko · 1 citation
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Condensed matter physics #Eigenvalues and eigenvectors #Enhanced Data Rates for GSM Evolution #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Spectral line #Strong Light-Matter Interactions #Superconductivity #Thermodynamic limit #cond-mat.soft
paper · pdf · doi:10.1103/physreva.64.013607
published as Phys. Rev. A, 64 (2001) 013607 · 10 pages, 2 figures included
arxiv created 2000/10/18 · openalex publication_date 2001/05/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a method of finding approximate analytical solutions for the spectra and eigenvectors of collective modes in a two-dimensional system of interacting bosons subjected to a linear external potential or the potential of a special form u(x,y)=\ensuremathμ\ensuremath-ucosh2x/l, where \ensuremathμ is the chemical potential. The eigenvalue problem is solved analytically for an artificial model allowing the unbounded density of the particles. The spectra of collective modes are calculated numerically for the stripe, the rare density valley, and the edge geometry and compared with the analytical results. It is shown that the energies of the modes localized at the rare density region and at the edge are well approximated by the analytical expressions. We discuss Bose-Einstein condensation (BEC) in the systems under investigations at T\ensuremath≠0 and find that in case of a finite number of the particles the regime of BEC can be realized, whereas the condensate disappears in the thermodynamic limit.