Bulletin of the American Physical Society
APS March Meeting 2018
Volume 63, Number 1
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session E26: Bose-Einstein Condensates and Nonlinear Waves
8:00 AM–11:00 AM,
Tuesday, March 6, 2018
LACC
Room: 404A
Sponsoring
Unit:
DAMOP
Chair: Mark Edwards, Georgia Southern University
Abstract ID: BAPS.2018.MAR.E26.7
Abstract: E26.00007 : Nonlinear Band Spectrum and Elementary Excitations of a Bose Gas Within a Multi-Rods Structure*
9:12 AM–9:24 AM
Presenter:
Omar Rodriguez Lopez
(Univ Nacl Autonoma de Mexico)
Authors:
Omar Rodriguez Lopez
(Univ Nacl Autonoma de Mexico)
Miguel Solis
(Univ Nacl Autonoma de Mexico)
weakly-interacting Bose gas confined by a one-dimensional periodic multi-rods structure created
by an external Kronig-Penney potential. We use mean-field theory approximation by solving
analytically the Gross-Pitaevskii equation1 in order to get the (nonlinear) energy spectrum of the gas.
In addition, we solve the Bogoliubov-de-Gennes (BdG) equations2 to calculate the elementary
excitations of the system. In the limit of zero external potential, we recover the well-known Lieb-Liniger
results3 for a weakly-interacting Bose gas. The nonlinear band spectrum shows a "swallow-tail"
shape in the edges of the first Brillouin zone for uneven bands and at zero momentum for even bands.
We also obtain the eigen-energies of the BdG equations, which form a band structure just like the nonlinear band
spectrum. The elementary excitations display a phononic behavior at low momenta from where we
calculate the sound velocity in terms of the slope of their energy at zero momentum.
1. Omar A. Rodríguez-López and M. A. Solís, work in process.
2. Mora, C. and Castin, Y., Phys. Rev. A 67, 53615 (2003)
3. Lieb E. H. and Liniger W., Phys. Rev. 130, 1605 (1963)
*We thank support from grants CONACyT 221030 and PAPIIT IN107616
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.MAR.E26.7
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