Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation
arXiv:cond-mat/0109235 · doi:10.1016/S0375-9601(01)00503-5
Abstract
In the paper we present the exact solutions of one-dimensional Nonlinear Schrödinger Equation. The solutions correspond to the Bogoliubov excitations in Bose-gas with a local interaction. The obtained expression is used for evaluating the transmission coefficient of the excitations across a delta-functional potential barrier.
References in corpus (1)
Cited by in corpus (37)
- Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
- Phase Dependence of Phonon Tunneling in Bosonic Superfluid-Insulator-Superfluid Junctions
- Stability of Bose-Einstein condensates in a Kronig-Penney potential
- Mediated interaction between polarons in a one-dimensional Bose gas
- Mechanism of Anomalous Tunneling in Condensed Bose System
- Stability of matter-wave solitons in a density-dependent gauge theory
- Non-Markovian quantum friction of bright solitons in superfluids
- Reflection and Refraction of Bose-condensate Excitations
- Fluctuation-induced potential for an impurity in a semi-infinite one-dimensional Bose gas
- Anomalous enhancement of quasiparticle current near a potential barrier in a Bose-Einstein condensate
- Bogoliubov Excitations in a Kronig-Penney Potential
- Fano resonance through Higgs bound states in tunneling of Nambu-Goldstone modes
- Supercurrent behavior of low-energy Bogoliubov phonon and anomalous tunneling effect in a Bose-Einstein condensate
- Electron Induced Massive Dynamics of Magnetic Domain Walls
- Tunneling properties of Bogoliubov mode and spin wave modes in supercurrent states of a spin-1 ferromagnetic spinor Bose-Einstein condensate
- Supercurrent induced by tunneling Bogoliubov excitations in a Bose-Einstein condensate
- Transmission of Excitations in a Spin-1 Bose-Einstein Condensate through a Barrier
- Collective Excitations of Bose-Einstein Condensates in a Double-Well Potential
- Anomalous tunneling of collective excitations and effects of superflow in the polar phase of a spin-1 spinor Bose-Einstein condensate
- Transmission and Reflection of Collective Modes in Spin-1 Bose-Einstein Condensate
- Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity
- Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
- Local spectral density of an interacting one-dimensional Bose gas with an impurity
- Soliton-phonon scattering problem in 1D nonlinear Schrödinger systems with general nonlinearity
- Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State
- Stability Criterion for Superfluidity based on the Density Spectral Function
- Dissipative dynamics of a heavy impurity in a Bose gas in the strong coupling regime
- Perfect transmission of Higgs modes via antibound states
- Negative radiation pressure in Bose-Einstein condensates
- Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
- Anomalous Scattering of Low-lying Excitations in a Spin-1 Bose-Einstein Condensate
- One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schrödinger Equation and Solution of Bogoliubov Equation in These Systems
- Anomalous minimization for critical velocity of superflow along a step potential
- Perfect transmission and perfect reflection of Bogoliubov quasiparticles in a dynamically unstable Bose-Einstein condensate
- Landau and dynamical instabilities of Bose-Einstein condensates with superfluid flow in a Kronig-Penney potential
- The density of a one-dimensional Bose gas far from an impurity
- Reflection phase shifts of bouncing Bogoliubov waves