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Comment on Nonlinear Band Structure in Bose-Einstein Condensates: Nonlinear Schroedinger Equation With a Kronig Penney Potential

Published

Author(s)

Ippei Danshita, S Tsuchiya

Abstract

In their recent paper [Phys. Rev. A 71, 033622], B. T. Seaman et al. studied Bloch states of the condensate wave function in a Kronig-Penney potential and calculated the band structure. They argued that the effective mass is always positive when a swallow-tail energy loop is present in the band structure. In this comment, we reexamine their argument by actually calculating the effectivemass. It is found that there exists a region where the effective mass is negative even when a swallow-tail is present. Based on this fact, we discuss the interpretation of swallow-tails in terms of superfluidity.
Citation
Physical Review A (Atomic, Molecular and Optical Physics)

Keywords

Bose-Einstein condensation, dynamical, Kronig-Penney potential, optical lattice

Citation

Danshita, I. and Tsuchiya, S. (2008), Comment on Nonlinear Band Structure in Bose-Einstein Condensates: Nonlinear Schroedinger Equation With a Kronig Penney Potential, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed April 15, 2024)
Created October 16, 2008