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Operator-Algebraic Approach to the Yrast Spectrum of Weakly Interacting Trapped Bosons
Masahito Ueda, Tatsuya Nakajima
We present an operator-algebraic approach to deriving the low-lying quasi-degenerate spectrum of weakly interacting trapped N bosons with total angular momentum \hbar L for the cas…
Divergence-free WKB method
Tadanori Hyouguchi, Satoshi Adachi, Masahito Ueda
A new semiclassical approach to linear (L) and nonlinear (NL) one-dimensional Schrödinger equation (SE) is presented. Unlike the usual WKB solution, our solution does not diverge a…
Many-Body Theory of Dilute Bose-Einstein Condensates with Internal Degrees of Freedom
Masahito Ueda
The Bogoliubov theory of weakly interacting bosons is generalized to Bose-Einstein condensates with internal degrees of freedom so that a single effective Hamiltonian produces vari…
Low-Lying Excitations from the Yrast Line of Weakly Interacting Trapped Bosons
Tatsuya Nakajima, Masahito Ueda
Through an extensive numerical study, we find that the low-lying, quasi-degenerate eigenenergies of weakly-interacting trapped N bosons with total angular momentum L are given in c…
Power laws and collapsing dynamics of a trapped Bose-Einstein condensate with attractive interactions
Hiroki Saito, Masahito Ueda
The critical behavior of collective modes and the collapsing dynamics of trapped Bose-Einstein condensates with attractive interactions are studied analytically and numerically. Th…