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Progress of Theoretical Physics

On the Interaction between Elementary Excitations in Many-Boson System

Shuichiro Yamasaki, T. Kebukawa, Sigenobu Sunakawa

Published Nov 1, 1975• 0 citations
Publisher
DOI
10.1143/ptp.54.1587a

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In this work we studied two sistems of bosonic superfluids at zero temperature, ultra-cold Bose gases and superfluid helium, within a simple classical field formalism and we underlined differences and similarities between them. We also analyzed how the presence of strong interactions, as in the case of helium, modifies the quasiparticle excitation spectrum and subsequently the vortex line density profile. After a general review about these bosonic systems properties we started in general from the Hartree equation of a bosonic system and, with different hypotesis on the interaction potential between bosons, we obtained the equations describing the two above mentioned systems, mainly focusing on elementary quasiparticle excitations and quantized vortices. Furthermore throughout this work the results were compared with experimental data and aftermaths of the main theories in literature.
An analytic expression is presented for the elementary excitation spectrum of the Bose-Einstein condensate of a trapped boson system in the weakly interacting, low-density limit. Explicit analytic formulas for the elementary excitation spectrum are obtained for harmonic-oscillator traps. These formulas provide information about the behavior of the elementary excitation levels as a function of the number of atoms and their interaction strength for a given trap geometry. They also provide a low-density benchmark for results of fully numerical calculations.