45 citations · 441 across the 39 of their papers we have counts for
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Two-dimensional Schrödinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes
Daisuke A. Takahashi, Keisuke Ohashi, Toshiaki Fujimori +1
Bose-Einstein condensates (BECs) confined in a two-dimensional (2D) harmonic trap are known to possess a hidden 2D Schrödinger symmetry, that is, the Schrödinger symmetry modified…
An inequality for spinor Bose-Einstein condensates
Daisuke A. Takahashi
An inequality for spin- Bose-Einstein condensates (BECs) is reported, where , , and represent the density, singlet…
Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
Daisuke A. Takahashi, Muneto Nitta
When continuous symmetry is spontaneously broken, there appear Nambu-Goldstone modes (NGMs) with linear and quadratic dispersion relations, which are called type-I and type-II, res…
Integrable model for density-modulated quantum condensates: solitons passing through a soliton lattice
Daisuke A. Takahashi
An integrable model possessing inhomogeneous ground states is proposed as an effective model of non-uniform quantum condensates such as supersolids and Fulde--Ferrell--Larkin--Ovch…
Soliton-phonon scattering problem in 1D nonlinear Schrödinger systems with general nonlinearity
Daisuke A. Takahashi
A scattering problem (or more precisely, a transmission-reflection problem) of linearized excitations in the presence of a dark soliton is considered in a one-dimensional nonlinear…
One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schrödinger Equation and Solution of Bogoliubov Equation in These Systems
Daisuke A. Takahashi
In this short note, we construct mappings from one-dimensional integrable spinor BECs to matrix nonlinear Schrödinger equation, and solve the Bogoliubov equation of these systems.…